Class 12th Introductory Microeconomics CBSE Solution
Exercises- Explain the concept of a production function.
- What is the total product of an input?
- What is the average product of an input?
- What is the marginal product of an input?
- Explain the relationship between the marginal products and the total product of an input.…
- Explain the concepts of the short run and the long run.
- What is the law of diminishing marginal product?
- What is the law of variable proportions?
- When does a production function satisfy constant returns to scale?…
- When does a production function satisfy increasing returns to scale?…
- When does a production function satisfy decreasing returns to scale?…
- Briefly explain the concept of the cost function.
- What are the total fixed cost, total variable cost and total cost of a firm? How are they…
- What are the average fixed cost, average variable cost and average cost of a firm? How are…
- Can there be some fixed cost in the long run? If not, why?
- What does the average fixed cost curve look like? Why does it look so?…
- What do the short run marginal cost, average variable cost and short run average cost…
- Why does the SMC curve cut the AVC curve at the minimum point of the AVC curve?…
- At which point does the SMC curve cut the SAC curve? Give reason in support of your…
- Why is the short run marginal cost curve ‘U’-shaped?
- What do the long run marginal cost and the average cost curves look like?…
- The following table gives the total product schedule of labour. Find the corresponding…
- The following table gives the average product schedule of labour. Find the total product…
- The following table gives the marginal product schedule of labour. It is also given that…
- The following table shows the total cost schedule of a firm. What is the total fixed cost…
- The following table gives the total cost schedule of a firm. It is also given that the…
- A firm’s SMC schedule is shown in the following table. The total fixed cost of the firm is…
- Q = 5L1/2K1/2 Find out the maximum possible output that the firm can produce with 100…
- Q = 2L^2 K^2 Find out the maximum possible output that the firm can produce with 5 units…
- Find out the maximum possible output for a firm with zero unit of L and 10 units of K when…
- Explain the concept of a production function.
- What is the total product of an input?
- What is the average product of an input?
- What is the marginal product of an input?
- Explain the relationship between the marginal products and the total product of an input.…
- Explain the concepts of the short run and the long run.
- What is the law of diminishing marginal product?
- What is the law of variable proportions?
- When does a production function satisfy constant returns to scale?…
- When does a production function satisfy increasing returns to scale?…
- When does a production function satisfy decreasing returns to scale?…
- Briefly explain the concept of the cost function.
- What are the total fixed cost, total variable cost and total cost of a firm? How are they…
- What are the average fixed cost, average variable cost and average cost of a firm? How are…
- Can there be some fixed cost in the long run? If not, why?
- What does the average fixed cost curve look like? Why does it look so?…
- What do the short run marginal cost, average variable cost and short run average cost…
- Why does the SMC curve cut the AVC curve at the minimum point of the AVC curve?…
- At which point does the SMC curve cut the SAC curve? Give reason in support of your…
- Why is the short run marginal cost curve ‘U’-shaped?
- What do the long run marginal cost and the average cost curves look like?…
- The following table gives the total product schedule of labour. Find the corresponding…
- The following table gives the average product schedule of labour. Find the total product…
- The following table gives the marginal product schedule of labour. It is also given that…
- The following table shows the total cost schedule of a firm. What is the total fixed cost…
- The following table gives the total cost schedule of a firm. It is also given that the…
- A firm’s SMC schedule is shown in the following table. The total fixed cost of the firm is…
- Q = 5L1/2K1/2 Find out the maximum possible output that the firm can produce with 100…
- Q = 2L^2 K^2 Find out the maximum possible output that the firm can produce with 5 units…
- Find out the maximum possible output for a firm with zero unit of L and 10 units of K when…
Exercises
Question 1.Explain the concept of a production function.
Answer:Production function explains the relationship between factor inputs and output, which means the relation between factors of production, their productivity, and final outcome. It may also be defined as the technological relationship between inputs and outputs.
According to Prof. Watson"Production function is the relation between a firm's physical production (output) and the material factors of production (inputs).”
Production may be defined as the conversion of physical inputs into physical output. As output depends upon input so we can say output is a function of inputs.
There is a direct relationship between the number of inputs and the production of output. The production function is nothing other than a tool used to show this relationship.
The production function is given as -
Q = f (L,K,D...)
Where –
Q stands for - Output of the firm
f stands for function
L, K, D stands for the physical quantity of Labour (L), Capital (K) and Land (D) used.
Suppose we say that a firm uses two inputs - capital and labour, then the production function will indicate the physical relationship between these two inputs and output of the firm. It will be represented as
Q = f (L,K)
Where –
Q stands for - Output of the firm
f stands for function
L, K stands for the physical quantity of labour and capital used.
Question 2.What is the total product of an input?
Answer:Total product means the total volume of goods produced during the specified period of time. The total product can be increased only by increasing the quantity of variable input employed in production.
For example, if a firm is producing shirts using labour and capital then as the quantity of labour will increase the total product will also increase but only up to a certain level that is up to the maximum capacity. Suppose the capacity of a firm is to keep 100 machines on which 100 workers can be employed then even if we increase the manpower to 150, it will not increase the total production rather it will reduce the capacity of labour.
Let's go through the following product schedule to understand it –
![](data:image/png;base64,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)
Now, see that with every increasing unit of labour the total product is increasing but the total product is constant when 5 men and 6 men are employed after that it is decreasing even when input is increasing. This means the maximum capacity of firm is to produce 170 units.
Question 3.What is the average product of an input?
Answer:Average product means dividing the total product by total number of units of variable factors, it is also known as per unit product of a variable factor.
The mathematical expression for Average Product (AP) is –
AP = Total Product/Units of Variable Factor
Let's go through the following product schedule to understand it –
![](data:image/png;base64,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)
The average product can never be zero.
Question 4.What is the marginal product of an input?
Answer:Marginal product is the rate at which total product increases or we can define the marginal product as the increase in the total product with every additional unit of the variable factor.
For Example – If a firm produces 10 pieces of shirt by employing 1 labour and 15 pieces of shirt by employing 2 labours, then the marginal product will be 5.
The mathematical expression for Marginal Product (MP) is –
MPn= TPn – TPn-1
Where,
MPn – Marginal Product at ‘n’ units of variable factor
TPn – Total Product at ‘n’ units of variable factor
TPn-1 – Total Product at ‘n-1’ units of variable factor
Let's go through the following product schedule to understand it –
![](data:image/png;base64,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)
Now, see that with every increasing unit of labour the marginal product is increasing initially but when the total product is constant the marginal product is zero and then after it is negative. This means once the maximum capacity of firm is achieved then the marginal product becomes negative for every additional level of input.
Question 5.Explain the relationship between the marginal products and the total product of an input.
Answer:The relation between marginal product and total product is described as below –
a) When Total Product increases at an increasing rate Marginal Product increases.
b) When Total Product increases at a decreasing rate Marginal Product decreases but it is positive.
c) When Total Product is maximum and constant Marginal Product becomes zero.
d) When Total Product falls Marginal Product becomes negative
Let's go through the following product schedule to understand it –
![](data:image/png;base64,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)
• From point A – B & B – C, The Total Product is increasing at an increasing rate so the Marginal Product is also increasing.
• From point C – D & D – E, The Total Product is increasing at a decreasing rate so the Marginal Product is decreasing.
• From point E – F, The Total Product is constant so the Marginal Product is zero.
• From point F – G & G – H, The Total Product is decreasing so the Marginal Product is negative.
The following graph will make it easier to understand –
![](data:image/png;base64,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)
Question 6.Explain the concepts of the short run and the long run.
Answer:Short run may be defined as a period in which some factors are fixed and some are variable. During short run, it is not possible to increase all the factors of production but only the variable factors can be increased.
The scale of production remains constant in short run. In short run, the output can be increased or decreased only by employing more or less of the variable factors, i.e labour.
It is assumed that in short run the firm doesn't have sufficient time to increase the fixed factors and so the output is dependent only upon the level of the variable factor or we can say the output level can vary only because of the variable factor.
Algebraically, short run production function is expressed as –
Q = f(L, K)
Where –
Q – Output
L- Labour
K – Constant units of Capital
In long run all factors are variable that is all the factors can be changed to increase the output. In long run the scale of production can be changed. In long run a firm can change all its inputs so the output can be increased or decreased by employing more or less of any of the inputs.
It is assumed that in long run the firm have sufficient time to increase the factors of input and so all the factors are variable. In long run “Returns to Scale” phenomenon is in operation.
Algebraically, long run production function is expressed as –
Q = f(L, K)
Where –
Q – Output
L- Labour
K – Capital
Both L & K are variable
Question 7.What is the law of diminishing marginal product?
Answer:The law of diminishing marginal product states that if we keep increasing the employment of an input assuming that other inputs are fixed the marginal product will increase only up to a particular level and then will start falling. Law of diminishing returns suggests that the stage where the return to inputs starts diminishing is the ultimate stage.
In the initial stages as we increase the quantity of variable factors the total output will increase at an increasing rate and the marginal product will also increase.
In the next stage as we increase the quantity of variable factors the total output will increase at a decreasing rate but the marginal product will increase.
But once the total output is constant, that is there is no change in the total output with any change in the variable factor, the marginal product will be zero.
When the total output decreases with increase in variable factor the marginal product will be negative.
Let’s understand it with help of following product schedule and the graph –
![](data:image/png;base64,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)
Now, we will represent this data on graph –
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAY0AAAC+CAIAAABGXMQxAAAAAXNSR0IArs4c6QAAJYlJREFUeF7tnQlclNX6x1VExQ1wFwFRUMENzaVEweWfS1b3llqJlaKVpaWp3atZ6vUauRCpWVfLuolmYiVatzKXwhTFfV9AZRMQN1QQBUTQ/w8PHV9nfWfmnZl3ed4PHz4zZ857znO+553fnPU5le/du1eJLiJABIiAjAlUkbFtZBoRIAJEoJwA6RQ9B0SACMidAOmU3GuI7CMCRIB0ip4BIkAE5E6AdEruNUT2EQEiQDpFzwARIAJyJ/CQTgUEBFS+f61du5YbPmjQIBaIF6YD5V5Wso8IEAFlEnigU9CmyMhILKdKSEgIDw9nxYmKisJ/BOJKSUlhbw0GKrP4ZDURIAIKIPBAp4bfv2Byr1698D8tLQ3/4+PjZ8yYwcoxduxYvDUWqICykolEgAgok0Bl/fXoaFhBm9B6QonQE4yJiWHKhXC83rRpk8FAg8XfuXMnWmfsIw8Pj7y8PGVSIquVTSA0NJQ9w3QplQDr0wkvlCQ1NZWF+Pv7Q2jY69jY2IEDBxoL1E9HJ2Tu3Llm41AEIkAEiIA+Ad35PrSVoEctW7bU193MzEz9cIOBStVsspsIEAFZEnigUxiQwqQeenZslIpdAwYMwOA6e718+fKwsDBjgbIsHRlFBIiAGgg80Kno6GgUCD15tgqBTeotXboUA1UsBJrFJMxgoBpgUBmIABGQJQED4+h2snPevHnTp0+3U+KULBEgAiomQOvRVVy5VDQioBICpFMqqUgqBhFQMQHSKRVXLhWNCKiEAOmUSiqSikEEVEyAdErFlUtFIwIqIUA6pZKKpGIQARUTIJ1SceVS0YiASgiQTqmkIqkYREDFBEinVFy5VDQioBICpFMqqUgqBhFQMQHSKRVXLhWNCKiEAOmUSiqSikEEVEyAdErFlWu0aPxsDp3jOaxjwTwC8QtOXK1Lh+4iAsYIkE5p9NmAN0TmNRGOpCVBwH0wkodfSXhSIkIC5NdF8c9D8aVL+clJN5KS8L8g5ayY8kzbd2Cgd7N+Xk3FRG4UGubz7JC6rdsYi4z2FPxT6zvaF5M4xSECYgiQTomhJLs40KP8pKQbyeXaBJ2y1D7o1P4rueyuT3o82qGep9kUTKgV0ymeAgmWWZgUwVICpFOWEnNO/LKiIghTfvKpcm1KSsJbW+ywqD0lzMigWlF7ypa6oHvFECCdEkPJOXFEduhc3Nzcg4LqBga5B7bFC7w1ay7G0SMiIoSO8I3dcuPM6awfN1zesd2EWpFOmQVOEWwkQDplI0CJbxfZoavRuLF74H1tCgqqE9DKUiPE6xRL2bRakU5Zyp/iW0qAdMpSYhLHF9OhO37t+tu79/KMV33++cuvv26LHdCpzZs3sxQwtMTOlDV7GVGr3mVduwY/3p+GpcwCpAhWEyCdshqdrTcWpKZmrV93afufxhLiHbqk4pKJH36YkpqKmKzxglUFYnpttppo6H7DahXW2+eZZ03MCdrDEkpTOwRIp5xQ14VZWZlx6y78vkU/b4MdOqycxHASb/WsXbt2xowZIhtBdioeqZWdwFKyBgmQTjn0wcDQOBTq/MZfhLligKl8sCkIA+FB0Cl9g3R0Sj7jQaRWDn16NJwZ6ZSDKr/k+nUoVNaP64X5NegR4jtkGMbCTRshW51iZpNaOegZ0nA2tG/G7pVfeutW2qqViaNHCkWqXpeunT6c3+H9mWZFSt++ffv2CddV2r0A5jLAsFS7qe92Wbi4UVhvHhdLGQ5OmXQyaj5UzFwC9DkRMENAV6d0Nqbil1y4xZQnxjey4gUxNkbg7p07GWtjEyNGnvt+7b3SUhbNo0PHjrPnBP/7A8/gYCvQodMXHh4eGRlpxb12vYXUyq54NZ74A51ikoSJJB0ibOsWu9hHUVFR+M9CMJrL3tKlQyBzfdzuiJHpq1eVFRWyj+q2CWz/3ozO8xbU79rNUlypqansBwPVkZCQ4KzJPrNmS6VWwh/IgIAAs/lSBHUTeKBT2OYucglMfHw85psYl7Fjx+KtuhlZWrrzv/y8e/So1K+/KsnPY/fWbtGy7T+mdvl4UcOQnpamhvisahTkkMCEWp3+z6dmCWBCMzQ0FNLMiozGI/0WmoWm7gi64+h4RGJiYrivD/ys4YlhCMaNG7d06VK8wO8b4jD3HTrxdWDhdvz4q5ugsHSNLl30Op9VQ7D5rtjNLaeZz+XGTbQDQaektW8WND2fXT/3Cg8vqFM3rVXrIreaxphER0cPGzbMz89PKmh4hsnbjFQwnZKOGZ0S2sR6hehxiNcp4e3z5s2bPn26UwrpgEwv/bkN03k309N4XjUaNvIdOqzZU087IHf5Z6EzJ+hSs2bgxEmNelX8BArtl8+qC/lT1Y6FFsz3oT2VmZmpgwYhLVu21A4v/ZJeSdx18J3Jp6KjuEhVc/fwH/NqjxUrSaQ4LtYTbP3GeBZSVlh4cv7c9G+/Mf3k8Oka6vdp+SuGslugU8uWLQsJCcE9AwYM4PNNy5cvDwsL0ybEqwf2H54+7cTcyBunkxkBF7eaLV4a2SNmle+QodpkYrrUEO7O86PcmnqxaBmxa058+MGdmwXCu9jPHnNejPEHjE/hB5JgapyA7nwf5ryxQxVdPPYLNn78eL4uAZ0+1snHKBWm+Vg4NEu2c0/2q9rrR48e/dfMY7Nn5R0/xnKpXLVq8+eHh8Ss8hseXsXVVYiOpquEFeHRvkOXRYsb9ij/wcN1ZXfiwcmT8k4cF8ZZsGABRpTQAbRfDVLKyiJA69Etqy/4qMtcvy53d6LwNp9nhmAoqprnA6+YbFkZm47AVAN6x1OnTrUsJ7XHRqcP7SleSnQJhd1kQMNPJv8UszE0EK72J8JU+UinLKj9lP9+mbXhoY0vzQY/BYXS2ZRHI8EimV7emZC8ZDHGqlh8rycGt3lzgsh7KZqmCFgwPqUpLvqFzd2zWyhSTR8f8Oiy5a3Hv6m/cxj7WgYOHKhxXGKKj/m+rgsXuwe1ZZFzftt46J/vFGZnibmX4miKAOmU2OpOjfmaRXVr0qTrJ58FTppc08dH7M0UzwiBmt4+j3z0MVpS7PP8pFMHpkxCO4uAEQEhAdIpUc9D6oqvC7OzEdW1Tp0uHy+uIzheRf9+b29v7i1TVOqaj4TunqVLFjTPTFsASKfM1zd+5DPjfmDx/CPGuLq7m74HI77o92GqlEXDFDst/zFLWcySBbOJUAS1EiCdMl+zvMdXv/ujTQeK8g+Bmb4tW7awpRtwxUmTfeYpw5OEiCULYtKhOOojQDplpk7h9iD/5EnemBL/BGCJGXcpIf4ujcd0rV2n/fsz/cJHMA5FF3IOvzsV+7o1joWKTzpl6hkoyslJ+2v4vOWoiFq+vvTEOIBAixdfbvfue9gDyPI68/lSMV4WHGAYZeEsAqRTpsinrvjvvbt3EQOuo5o/94KzKkmD+dKSBQ1Wuokik04ZhXPxj9+xq8OKHh89YZIQoCULkmBURyKkU4brEU7N+fA5Tqbz6NBBHfWtuFLQkgXFVZk9DCadMkwVC6ZwQgw+w6pOrEWwB3pKUyQBg0sWSh/2siAyKYqmUAKkUwYqDg5bcjZtrOjxjX4FvhAUWruqMVt/ycIBPS8LxgqL7ZZYHcI/xXI28mChuAeDdMpAlfEeX+O+/Rr2LHdlQ5fTCdCSBadXgRMNIJ3ShZ/2zapbGRkIdXFzox6fEx9Ng1nrL1lI+fILuRlJ9khOgHTqIaQFZ8+c+67iZDD/0WOq168vOXFK0EYCuksWNv0mJkHu7pGfSyLmLoojEwKkUw9VBIbP2ft6j3SBbymZVBKZoUOAL1lwqV7da9ATYvjwU8U0dQCSGDKKiEM69aCasv/30/VjR9l7NKYUUX9aNhJLFsLifgx47XUtQ9BI2UmnKiq6+PIlPnze4sWXcDKoRp4AKiYRkD8B0qmKOkKP725JCd7U8Q/wC39R/jVHFhIB7RAgnSqv60vb/7ycsIN6fKp87nHQFganeNHgHQyuLFRZUhUXinSqUtntYj58jqXPnp06q7i+qWhEQIkESKcqQaRu515B5VVv0JCGz5X4EJPNqiegdZ26fuQwd8MGkXKpXkP1VU4FJAKKI6B1neI9vkahYY1791Fc/ZHBREALBHR1Cst22Vm+/MJbtpZXGG4wUHG8MmK/LUgtH1KtUq0a9fgUV31ksHYIPNAp7COHGMXGVuwaYQjYQSnczzd7azBQcchupqelf7uamY19fDUaNVZcEchgIqARAg90CvO1wulbVv74+PgZM2aw12PHjsVbY4GK48V7fJ4dg73/9nfF2U8GEwHtEKiso01r166NiYnBsU4MATz14C0kDK/5RwYDDSJDG02e26kaX8xpcb/Hh+tEcOebtetop8o1WFLsPWbPMF1KJcD3Z7IX6PfhjEwe6O/vD6HR+chgoE46+m/nzp1rNo5jIhTn5m4f9mz8k4Pwl7pqpWMypVyIgDwJpKam4hstuW3QDaGS2Ji+BfN9mZmZWNqro8cGA2Wu2djHV1ZUBCNr+fm1fHmkzK0l81RMgM1Q6RTQYKB4CGygWXx8gzG5Gxy8gENUG1MTczt6aSYyMqNTAwYMiIyMZNksX748LCwMLwwGijFFDnGu7Np5aVv5KBsucoMnhxrRuA1odGBEhUPAa4TYwsTgQLMVCaKdxTpY+L5bcbu0tzwYn4IMC12ILViwgJ02Dp2DxXgxbty4pUuXsuwNBpq2bN68edOnT5fWektTu1dauveN14ouXsSNXoMGt3lrgqUpUHytEVj846mth3OkLXX/zl6TnmmLNNkMO6aq+JZDNviLbyI0QviV5N8+NDogHIi2efNm9K3QjMALZh4EDiPLLAISZC9wLVu2DJ/iW4z+kH6aPL6wjDCMxcenrFeoky/UEJIaHh7O7mKR8QKLAaZNm8bkArfAHuQYERHBCojXMJgNf/OYSJ+lgP94bXD3pe58H+9GMpHCxc8f5yJlLFDaurRHaujxMZGq5ulJC6bsQVh9aUouUkAkTLN79+7sC8z+Q4C8vLwYRtYyYhe0hneL8JXGNx+B2dnZiMYi4AWf/uK1gJjoA+FTNDuio6NNpGms4tatW8d0hEkJyxeGwVSIFB+5ZnEQCJFigaZ7i4iJ/hmLCYXBhRSQvrEt4haMTyn9Ecw7fjzrxw2sFOjxVa1VS+klIvsdQABtH8lz0UkTK37WrFmDXNDWgBAIs+MLqoWB+EoPHz5cGGJMFHjMkJAQHsdgmvplxL1oVUF3uHYI801MTIT2sbtgDD5C+ghEM4oF8vVMBukhJkptAVgbx+HF3+70+b4DUyaxOb7jkXPEm00xiYD9CLBGCuvyoBPHeljsLWsE8Skz1txgn/LpORaTXeg/Mjt5BGFMPvumn6bB+T5mmLDgOtGQDi4egZmHEOgUC+Q58nIJA3Vux0e8gAZpa6U9de6H726cTgb9ylWq+I9+xQIhp6hEwM4EMLKDrzfGpPSbGGzQB70koSRxc9Ap42Kh08IyYbLpNEWWFQ00Ng6Fi80DIFkEsrEwXHz+Dd1YGM9aczzQ19cX/T6dvHJyjI4DakKnbmVmpq2MYVBaRoxx+6v/L7JKKBoRsDeBESNGIIthw4YJM8IYMb726HxBwgxOAjKx4GsI2CCX6ctsmuYSqPgcQ1SQSJY1BqpY3xCBEFwWyDuwTIVZL7Jfv37sfqgqBvhZTHbsKzQaxTR2BKzuenSRVloRzYnzfcfmzL66by9sdm/X7pEF5aOJdBEBFRDASBPkgLWkMH2WkZEhnOxSQQF5EdTfnrqweRMTKVzGFkyh4Spc2KamCqayqJgAxqrRlmGPLhpWahUp1KDKdepOfj4/RcZ36HPuQeWLVgxefMASbVTmEIIuIiBzAsKFCxh+lrm1tpincp2CSN0pKACgmt7eIhdMYcAPg3y2MKV7iQARkJaAmnUK54Ze2LrFdI+P08SiXtZ+xgvxUyfSVgalRgSIgEECqtWpa4cPnV3+OSuz1xODGzzWw/QTwPt9WIdibNKBniEiQAScQkCdOnU7Nzd58SIG1KN9BxzwLR4u9jEYXKsiPgWKSQSIgLQE1KlTSYsX3r6aC1Ku7u6Bk6ZYhGzfvn18Q5NFN1JkIkAE7ERAhTp19ovPcdoV4xU0aYpbkyZi2PHxKUz0btlSMaol5kaKQwSIgL0JqE2nzm/8Nfvnnxg1/zGv1u9Wvhnd7IWBc+GuIn13gGZToAhEgAjYj4CqdAoeEc4s/YzBatp/gO+QofYDRykTASLgMALq0amSvDwMSzFwdQODAt+e7DCIlBERIAJ2JaAenUpevLD4UrkPPDiWCppEImXXx4YSJwIOJaASnUr571dXD+xn5DDBV9Pbx6EUKTMiQATsSUANOnVhy+asDXGMUsuRoxr2CLEnMUqbCBABRxNQvE7lJyUlL1nMsDXu26/58w/5Y3U0TkF+48ePF7rXcaIllLW6CWBHqj12UMCbFfzGyASdsnWq9ObN5E8qxs7rBARgtZSdsB5Lv/5NfOo/vto/Mjph2a+nzeaCCsbTw9Y6wIchOWAwS0xrEfB4CF0Jsdcmzj4wfbydPj1h4o45gA82WGqk+EpXtk4lfbKo8P6RG1WqV8ewVGUXF/ElNxsz49LNn3Zn/nvNkSGR26bHHFy7PT0pK/9qwe1f9mV9uemMidvxWGDVKD/8A4uz+OE9ZjOlCBohgDV67GdM6FNc2oV7sjqAz8ZqVbA/z7RVMee+/46Vv9206Y1Cy89AtfGCDB1Nu1b+l379Sn6xidSG9fIb3b/cX6r+Ba97OIJN/5AiG22j251CIPmTRdzrhlQGYHEfXzej74dT/1w8flwmdnSx0/2YJexQPzkcwAe/w0IjjR1vZTVApbanLm77g4uU34gXbRGpO6V395/N/Wrz2QnL9qJb9/H6k78fuaAjUs0a1Hyym/d7L3TsF1yxC2fdzozV8Q9O+7C6AuhGmROQXKRQXhNpGjwXT3i8nbFD/YxhdMwBfMjd7Bl8tlS0InWqIOUsd4cAhWox4iUrEJzOzv8+IeP9lYee/SB+9uojGxLPpV0s96jHr7o1XUPbN37r6aAv3w5ZPiFk/FOBPds2emdI+37BTVmc2O3p3+1I18/a29ubH1FrhWF0i6wIoO0juT0m0jR4Lp6OAYo8gM82iGZ0Co1SPiAnHPzngY4fIS67XYx15/fKylDwWn5+gZYs6cy5VvjbgfPzfzgevmD7lC/3r/w95UjaNaG71sqVKnVqWW/U4wELX+sWO633u891eKJrM696NYWQ3xnSLrRdYxay6o/UuF3ndKoAv3jwZoX5PhaOX0jHU7LtqaC7HxBAB63vL79J+2fLZgn2LLGxLdOOPfgBfCqoTvPtKX5wIB9wgWCxU8MAAt7jxZzGIyEptKRuZWQgQYyaY4LPpXoN04nfLLqz69Tlpb8kj/008bVPEj/7OSnhxKUbhXeEd5Vl79k4pz/+fp3Tf25El+dD/dp4u5tI9t3nOzwW2JBF+HrL2f/tydKJDFZwusAPCKJxdAkfAHUnZfBcPFZkfrydbA/gExopbTWZ1yn9/NCpYV888ELDAS1VaW0ykVr6mtWXE3awCGhJ1QloZSJy6oWCqHUnXpi/fe53x37dn30+t1AYuaF7jcc7NUXjaNU/QiP6B1h6jsPM8OCureqzBL/47fTGA+XTjsIL3XX2oyf5mKLDaFNGjidg8Fw8mMGPt5PtAXxCIyXnZma+D41MfuopHPJiih2TC+zYaGYKejd+fn7G2gtoauHUZqmMrp97pdXpJJbaeW+frOYtjKVceM/tfGmTS2UNdCJUqXTXo8oN/Lm73KhVuYh/euzYsYMHD44ePRohK1as6NKlS8eOHc2afa9S5ZMlrfPu1mUxW7mmN3Ypd85Hl9wIYIIM33+5WUX2iCcgdl0CFAeVzRzyitcpoR02njN6MyP94DuT796+jTQb9Ajp8P5Mg4W8lFcUt/McWk/CT4N83INb1gtuUa9jC0+DdwlnghFB/BFDxSVlM785fCozjyX7z6Ht+3QU5ZZPfA1RTCJABMT2+/BzBHnSPwDeMadIYdQc7hCYSOGEqyBDPluu3yz5avOZMYt2CUWqR1DD6Fe74e/lfv7GRIo9BNad41CjmsusEcGtm1U0qT6KO7Hz1GV6qogAEZCWgFidQnsKjSmoFcakIFhs0oEtvMbBB9LapJ8aJvgK7h9gjyvw7SlVa9cWxrlVXIp5t4iFCRsSM3l4l4D6cyMemTE8GI0pi8yz9ByHOm6uGKtq0aTCpHnfHdt7+opFOVJkIkAETBMwo1NYY8omrXinD8lhJguDVgiEYGHQStrF/vrmnvt+7aVt8RUiNXGSe1AQj4MlmtjOErFwJ9YxlZZVDJl18POc/WKnOS93RkfPiuq34hyHenWqzwrv5N2gFstuzpqjh1KuWpE13UIEiIBBAmLHp2zHZ9341JXdiSc+/IDl7vPs0IBXXuWWrN91bt2uc/m3SngIFhMM7dkcqzEttVZnfAotRyvE9/zVwlnfHL54vXx43rVqFQhlRz/Dw2GWmkfxiYDGCchapwqzszB2XnrrFiqpftduHWfPYbX1894srK4Ubm1Bt2toT7++zh7DxtblWasPX71xfxytelVIlaW9To0/jlR8ImCQgNjxKafgS1q8iIlUjcZN2DF8mw+dH7sk8fONp7lINatfc+Lfgz4b95jTRQrm+TWuPSs8GBtu8LrwdumcNUdScm44BR1lSgTUREC+OoV96jeSK1ZLYd35rszit5btWfJTErpXrAKwUPONwW2WTwwZ+Egz+VRJgFfdWSM6oTEFk7DqfU7sUTSy5GMeWUIElEhApjqVuT6O7ymvOmTUnD3F0XEn0i9WfOHda1V7ZUCrmCm9nn5Ujn7Q0debOSIYQ1R4INAH/CD2KNdWJT4iZDMRcDoBOerU1f37Ur/+iqHJDOgx/1wD+DZgb9FOwUqolVN6DenZ3OnsTBiAEXR0AFkEjKxjBvBynilvVnIuC9lGBJxOQHY6VXTxIj+G71zd5t+7VxzKUNWl8gthLdCGGt67BWuqwEMY1kY8+eSTTodo0IBHAupjCSj7KDv31pzYI9cKysfX6SICRMBSArLTqUMLou7kl7eebrrW3tR8ICvPsyG+MVNCR/6ff60a5eM+7IJOtWvXbuvWrZaW2WHxH23TcPoLFfsE0WlFB7Cg6CE/DQ6zhDIiAoomIC+d+uW9D0vOVoyd/+Y3qKBaHXjR/Hpyz1cHtvasXU0H9MmTJ0+cOMEES7Z10KttI2z6Y+adOX8DHUBsCZSttWQYEZAnAXnpVPUTexmmeJ++rXv3+PytHvCi2djDTZ/dxIkTGzQod4fQv39/OesULMTO5EnPtGVFwI5lSBVfOi/PZ4KsIgJyIyAvnSru1Ku0iuv+iI8iZo3Dd9unYcVOFH1q2K8THh6OcLiUQcNKblh17Onf2evNpwNZ4NH0ax/EHpG5wWQeEZAVAVmvRzdGavv27X369BF+OmHChCVLlsiKrL4xcPsJj3osHO5AsXtZ5gaTeURAJgTk1Z4SCSUuLg6dPuYtE9fgwYPRvBJ5rxOj/e0xnzEDKhyQ7km+Mv/74040hrImAgoioEid4p0+Bhpdv9zcXDSy5M8d26Qxa8nsTDh5CWdwibEZTnWEx9ti17SYuygOEVANAUXq1JUrV4S9vN69e6NVhf+KqBWsAgvvXeExOf7ohU9+OiXGbOZDlZ2dgYE5kiox0CiOaggoUqeUTv+lfv44TpmVYsuhnBFRO7Czevvxi3CabLZocDiD5uSMGTPMxqQIREA1BEinnFOVOPP9mR6+LG+40IKnGhyNA6fJ+MMLvDXhaMFSj6POKSHlSgSkI0A6JR1LC1N6bVDrp7p769yEJhUaVmhevf3FvmFzt81cdfjbbWlnsvPFHy1hoRUUnQgogIDL7NmzHWMmO7HGMXkpJZdurRsMCfGFo+Sm9Wq6ulTJKywRLgHF6wvXi45nXE88lJx6ZMdlj9Bzl2/CGfy+xG1JJ49jpatSikl2EgEbCZBO2QjQ1tuxpxoihbNw+gU3fT60xaNtGsDZXq0artheA0liqRfnX750OrFu28HYebN119HP3h8V/NTbl8saYGOzS5XK8M5uqxF0PxGQNwFFrvOUN1LJrEMfMDkrPykr/49tO9ZFj+Xp9ohY5OlbsWcQgW7VXYK8PQJ93OH3Cn9u9130mb4GDRqEg4JYHBwIhlPmzd1BnxMBZxIgnXImffF5F90uhWDhr1y5svOKbhvdzIzDLOD9qkMLT/xnDnD0L+hUREQETrcWbwDFJAJOJEA65UT41meN2UAuW8ZWM1SuVAlqhcEvCFb7h0++IZ2yHj3d6QwCpFPOoC5pnrx7COUytpqhuqtLuWDdly2c3izs9yUkJOD4WEktosSIgMQESKckBurc5G4Wlx5Pv34s4xpmCbk7eR2TcBzOwdj3nhk24s2xo5o3euhkaecaT7kTAWMEaL5PVc9GtapV4Ayna6sGg7t5P9G1GQ6/qevmWlRSJvQjevvO3bSDW65UarQjwxWr4VMvFtwsKoXjeRxAryoWVBgVEbCmPSVcCSW+12DdecgqQu3Moly4Vr4O61jGdbS2cm8U7/92erNOA7za9RXahJMQ0StkA/C01sGZtUV56xGwRqewd5/JEzvuXORSadIpmTx+WCw65O9PHdpT4V6ipqdXnwkrdWzD+dJsAL6DX73abmYWOqSlpWGbNE9B/E+XTICQGfInYLFOoTEVGRnJV9xwzTJbVNIps4gcHwELR8vbWenX8f/2HcNrHeA3+flQPxMjWUynRP5cOb6MlKMKCFisU2hDxcTEcJ0KCAjAW2MTRhA1/LqqAJMWipB/t879v7r4r1/epi6XfapeqFa5RP+ja9euRUdHz507V7aUmjdvPmLECNmaR4aZJ8C9Yop8AaciWMHMI+OHFEok5l48x2KiiYwjbWrIVNoEpU1NcvNMJ1hyp+zA2dwVW89OWb5v8Kyt/O/p2b9/80dKcUmpTh3BJZbwORNZg6ajSQtQ2tQkKSAlYhEBW/0l4Bn18vIyL4cUQzkEsIq9S0D9iMcDPn6tW9SYrpg9ZLaX3b0Xuz199KJdP+7O1C8Nf+yUU1CyVDEELNYpOD/C1jB06FBE9AHRnoLnNsUUlwy1kEC75h7/fqkTjpwI9HZnt8Jb1pebzrz+aeLvRy5YmBhFJwJWErBYp5g/SXhowQg6Jvu2bNliZc623Sa5ixhpE5Q2NaByboI4HQdtq8nPtvNuUJPVW3Zu4aINJ9/5cj8OpLCtJg3fLW15pU3NHuWlNE0TsHgc3WqgNN9nNTpZ3YhO3/cJGWhVcav83Ys/fedpmu+TVTWpzBiL21MqKz8Vx1ICcJe8YnJPHEUB11fs3tT8Ghhr/yjuBFZmWZoaxScCYgiQTomhRHEeIoBdzTiKYsWUXk8/6sM/+PPYxfH/2QOPyVcLbhMvIiAtAdIpaXlqKLX6daq/MbjN0jcfw0JQXmycQDF64c7V8anGVo1qCBAVVToCpFPSsdRkSlin/s+h7cUvX9AkJCq0rQRIp2wlSPeDAC1foMfArgRIp+yKV1uJS7h8QXhUPfZmaYsjlVaPAOkUPRQSE3i8U9MvJoTgdEL3WtVY0snZ+R/EHv3X6iMnz+WJyQzrh7HiCVsd2Bp37HuPiooScyPFUSsBWj+l1pp1frkwlP5DQgYWW2HDDbcG69q513Zjx0yY3tzu/IKRBQ4nQDrlcOQayxDLFKBWmAfUKbexYybIS4zGHhBRxaV+nyhMFMlqAgaXLyA1NLHg9wqn0k9bcXBI5Db0CuN2nYM/LGFGOG8C27NwUb/Pav7quJHaU+qoR2WUQuQxE2vf7TP/i7jhzwxgzvnGjx/v5+c3depUZRSSrLQDATrHwQ5QKUkjBEQeM+HiWn3tkneP3A7adqoAx0wc2/tnPU/Pfn3CiKtmCVB7SrNVL6OC6xwzActyTm47EvfAQSiOqm/fubt1x0zoDHhhxQPOgk5JSZFR+ckUcwRIp8wRos8dSwCbmZm/dvzdKLxjMPO/jpmoh6nD2jVEHTPB3TmQTjm2PqXJjXRKGo6Uij0IiDlmAmdMjHrc1EJQak/Zo2ocnCbN9zkYOGVnAQEcMT+0Z3M4FF0/o++C0V1e7NsSR89XeJP5K5mN+7PFpMjmDXGRzzwxuOQWh3RKbjVC9hgm0N7Pc0SflvMiumyY2W/Oy52fC/XDklF0+nDysxhk3H07HYAkBpfc4pBOya1GyB4zBITHTHw3vY/pTh/RVAcB0il11COVggiomQDplJprl8pGBNRBgHRKHfVIpTBKACckCc+YwNndtHhKcY8L6ZTiqowMJgKaI0A6pbkqpwITAcURIJ1SXJWRwURAcwRIpzRX5VRgIqA4AmZ0Cn5/+EJeOAPixeOB5BhIcVVOBhMBxREw354aN24cW8u7adMmVjwI1oIFCxACD9bTpk3Dxk7FFZsMJgJEQEEEzOuUfmE2b97MnJZhxnfgwIGJiYkKKjCZSgSIgOIImPGXgG4dWkysVLGxscOHD9fZfW7a1yKaWnw7lYeHR15enuIAkcEqIIC9x1g2pYKCaLYIujoFZeEbyoWr41g4Onog5e/vzz8in7CafXSo4ETAYQR0+3342eE7y4VGIBzylJOTo2MZmle+vr4OM5cyIgJEQIMExI5PoT2FxhTUCmNSECw2zQeRwlhV9+7dNQiOikwEiIDDCJgZn8KJj6yvhwsvIFJMniBVLJANWjnMXMqICBABDRJwnN9hDcKlIhMBIiAJAbH9Pkkyo0SIABEgAlYQIJ2yAhrdQgSIgEMJkE45FDdlRgSIgBUESKesgEa3EAEi4FAC/w9cgiEjPT+NmAAAAABJRU5ErkJggg==)
Question 8.What is the law of variable proportions?
Answer:Law of variable proportion explains the relation between the proportion of fixed and variable inputs on one hand and output on the other. When the firm increases its output by employing more of the units of the variable factor it changes the ratio between fixed and variable factors. The law speaks about three stages of production
1st Stage - It goes from origin to the point where the average output is maximum. When a firm increases the output by increasing the quantity of variable factors in proportion to fixed factors it moves towards optimum combination factors of production at this stage the marginal input increases that is the total output increases at an increasing rate it is the stage where the law of increasing returns operates. The marginal output begins to fall at this stage and the law of diminishing distance is introduced.
2nd stage - It starts from the point where the average output is maximum and goes to the point where the marginal output is zero. Once the optimum combination of fixed inputs and variable inputs is attained after that if the firm increases the quantity of variable output the per unit output of variable input that is average input will fall. In this stage, the total output rises but at a diminishing rate. This is a crucial stage for a firm because in this stage the firm determines its level of actual production.
3rd stage - It covers the range over which the marginal output is negative. It is also known as the stage of negative returns. In this stage, the total output begins to fall. Thus the total output, average output, and marginal output all fall. No producer operates at this stage even if he can procure the variable factors for zero price.
Let’s understand it with help of following table and graph –
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAiEAAADvCAIAAACrCJM9AAAAAXNSR0IArs4c6QAALJRJREFUeF7tnT+oF9n5xtdfyG5CYF2TkICIuGphaWUherNaqOUWFmrlNoI2ukG8jaCCjSJopSAETKMWhrVUC12uYmGzQhoLdUXEIiRRw6YL7O/JPpt3jzPznTkzc86Z+c55prjMnXv+vZ/znvOef/e8y77//vsP9IiACIiACIhABAL/FyFNJSkCIiACIiAC/yUgGyM9EAEREAERiEVANiYWWaUrAiIgAiIgGyMdEAEREAERiEVANiYWWaUrAiIgAiKwjOfKli1bJhYiIAIiIAIiEISAnVj+ycboEHMfsjDSuQHMUGRqSLaC92kgnnHF1hPUyIO59ai1spFXloonAiIgAnNMQDZmjitPRRcBERCBkRMYwMacPXv20KFDI+ei4hkB1BdmvnieP38+CJZdu3ahDINkrUxFYBYB6CQ0U3waCTTbmPXr17OLwYN3pMhOpzHpVgGQ8vXr11tFqQk8quqHIrod9IMHD4hxVA9KZbVcqNzLly/fv38fu01r1671KbObDt9rmiLz9Ul2jsKgfkdYxTZWqK8R49ynSSIL1GzYKmM7KvQS1J+efT0TCVXgmqZUCQQD7s5j7rkYfjXbGHC5du0auhg8T58+xa/Hjh3LbX+7T2sBtHXr1p07d65PIlHjot1u3br12bNnrOUzZ864RhHfV65c6V8AJgKzhCh8v3Xrln/0eQ9pXVWoPisIEPRiGCuwOth4R2gF6yVFO9q5c+eVK1fcYFevXsVH9kudny1btoAJfnZOwSLWN6X+6c9lCqZzpn+FF/SPZmP4J/yKj3g5ePAgKpgf8YK+yVIjCzei0UEwRJyVC6IgKQRgeI6g8bAY/MjcWRIrgHVqFhchrUizpAv13frTcoIoLYqBAOzEUU4rP7lRKBMkVJH80ylXMWsTBbZaKxevRmSKWQ7g6gCrr5w+ClNQHle1/IWKF7JecHDjY0qOd5ceBKRWu+KztARObWH0ss6z3bl9DePax3JNMVkbQ1gjZTEQ0ZqJFdVNHxGptCyY26yQl7VxpIPH1Zl6UJUVVN+OSMMVBL9ad2RysZBu18GSs91RM+1BdJeP28+4JA3vrGpl7rOa0qzOypo/BWFJrNItr8o6spbiChtP7Vul7Naj1zzGrRL3/eLFi7dv34bpxoOhBOY3+CvGR1RZ8Nq7dy8X8TGMIi98XFxcnJUgvyPNNWvWIDDS2b9/vwVGapQTWdQs0KNU1lRYpMGf1atXQ/zyjBhfsABlbaPzlLmPgKggVMqmTZvcRLZv33737l2Wja26/1wEtWb9EXQAOrNnzx4zRUwfBDBQZUeA6u4j11BxMV3Y/MNz6dIllmH37t1QaTYETm4wZMYLBGR3CXV1V3tAHh+hxohCGq7Og9udO3fYlFg1+InmwI+sr0LrePToEfqjwlInereHDx/OouR2l4yIjF68eGFNeNbmnOkMu/jgtYB2dOPGDSYLMQvmFhiJFJrmdh3QN3zkdAdTdpaNYxcoYaGQ1s+wc8Nf8ZM9Eh5U66wZak1TmsUBak/bjJStJFbpNXkhQU7s2NkGmYQFrywm6GVjAH3Wwjrq8vjx4wjAOSwps2eHtgEB9BvvgLVv3z5+tNHQLJHQHpgCGqc7LDLzDu1BO4xEJFKytMcF7QSWo0ePMkdgRDcRKffGZD33WhrTmRWAglsrgg4sLS2VA4MSWwtX54Y6ZdBTTIiAB2rMHsptCOjWd+zYgY94Qc9C7DRClikg8B1/NdOOd3Tx+Pjy5UumgC/I4vXr13hHczh9+jRjVbaOICtjLJgrTmdQnSOiG4EVZ3S8sFexB7iIdNWqVZVdBzWKOoaBFJEWHncaAdr4K/TWRqtg/urVq5ry929KpgDQkJpxQGeGiSN62RgbfpYHs+w1YEtYbdR42/V1W06rNf16ClCgniuwiSkzO3Ss1hHgV6q7aST4FNYZUhay3Jv3bypu+dEs3W4OE7tK+4GPVB53HSAlh555YXuABgAPXmzzAN0Z361bRO+GEUajsJjYMYzNioCOYxGO59is0BxsIFg5/6tsL0iqm7zQDXa+6R/2Mxiy2IzQLYPtt2OyUlk2ajXjwjBjduIpgh19amykAZsSildpBT3LPJJgXjampqyYroK+TSqp8ZxU8ilPRftLXuiw+ieYJgUMhQAK3RCzo7qbRsI8D9KxshicbtqD5rewsBAQS2FYgB6q0oahX+aAprElByxbwKRgCcxy4MXGWO5yGXtJdB+FXclyMWxZDEDcRSHAoRkGK2J01yERuDAW5KC+0PehbIUFUn8OSKqzffLPZVbIAwcOoBFhuOaO2BjY1sEKmy6FpBCMpxk919Jh6aGZ7NBqGmnwpgQD428F+4ONlEIvGwNVw0InZnZcMWO/aUsEbokx0eHBKowgGvdjZolqAzTkhYEhgqHx2Eq3u/yKBjDOiQ5A2YAU5TcseEeDQeOh1Ql4ktJHbzDBcge/aFGgF3ZwgI4V3ZwdPIUOcJWjsCaGMKhTfLc1d5/yjyQMpXMHWPjVXS5DP2WzHHfDZlb5YYlt8mdqgzVGW1ewOrJ5UmVSgA9Nc3f7kKyt1KEX4+oTm7OlgDCFyQpTQBM2+4T2zvkZPrqK3big1KfKYLBpvwsqSiNKjbKRXCEjlNN28v23GJEy+3pErx/91DSlWZ0VUi6Yf3LGR4gJPcH7rDqyFdQ+PKPHZZMotA23ndScK+MBMAauPFeGZO0QCCVhavXnyuzYFavThg+2kVN53oOrqFZyZjeSc2Xu+TpI554rs2GRMaHUdirGrYt47+4mmVs86kbhSFKjziBA+VxZYX3cZOHRGtapLYXjVxSD+c7LuTL38A+lc0+UkbBbreVjde4Bp8Ko2XaGWSP2WILuRKdS7d0jTIUG6J7ls8ZlxUOpWJumJOXzojx15p65YgnbaqxnR+T2PO65MishaRhDt8AuKDuIZErudndWoa7q4iNTKxwXNElrmpJl7XZWlridKyuf33PnTwhWOEybvrtorNb3umKf/qIxxQQByqYuQab+WXRoTv6JjzNkhiKPobG4FrdwbDeenlSeRI+RXWylKh90TjyYq4dWHmTEgJwgTbcee62VueMpvYuACCQggGVM2wtxF9MSZD2BLFxi7traBEQbrQiyMaOtGhVMBCoIYP/DjpBh+8R/U0E0QQCb/DDSdpzPDk0ITjwC8h8Thi20trBQHibdEaeSocisjWwFT6CMYpsAcoIs3HrUPCYBcGUhAiIgApkSkI3JtOIltgiIgAgkICAbkwCyshABERCBTAnIxmRa8RJbBERABBIQkI1JALk5C/5v/9xdAdksmEKIgAjkTUA2Jnr99/EnGL1w0TLAHSp2NarPpb99PPrlSTha1SlhEQhJQDYmJE2lRQK4KdWccOBINy7pmp5DZdW1CIiADwHZGB9KgcO4Hr/dpHERJMf+7vWFdru7OxtwF9ZsFI+eHYF5Cfmwjn7xv4Huxbe4NdVuSmUhKTXmOhSKV3cjFkvOlUObCVl4vJj3LbzQrxdC0hueFhsDq6mSE4EQBGRjQlBsmQauiOaVQQXnmHSAiMf836EnRYfLj5gNuN4SK/NERNzfjMAD+sWrdOyBwlc6JaMUlR79PL0B8rpAXlMY1udNy1pVcBEQgQoCsjEDqIX5HShc6132f4dL1+k0AQ88Zro+3yrLjQsTw97J341OEEc4E/MG2I2kYonAvBOQjRmgBjE74ZrYLFc65v/OHB2ilAWfZgOU2zvLSh8bnb0tTcMboDc8BRSBSRGQjUldnfTSxuUv19WEWw7zf2cO2/HXgm/m1OX2zo9OogobQnAPTG9LHZ5peAPsILiiiMAECMjGpK5EOIq2pST6H7Sn7P8O2xjmUBaORM3HEVKgp0hMicbmlhjzLZTTdUuKbSTs6nOLCPfSm8NE1/lm2aOfvzfAssfG1JWq/ERABGYQkI1JoRp2GTt6Q+yX8OgXHvO8y0KgX6afdsxv2CNzT4KBMY+xLQrsh/MUFsb4rn/DFMJ45IFy8rwyH8SwK+ghPgrM764jSLhehu1xT8TBf3CBBr2v86MbF9xIQ//E6lE5CiICSQnobv8wuNHB6W7/MCh/WBWko+VxnhPLsK5D1WxjOmLbiGguArj1qHnMXFSZCikCIiACc0lANmYuq02FFgEREIG5IKC1sjDVlOEcP0ORqSvZCh6mqdSmIrYJICfIwq3Hn2xMgoyVhQiIgAiIQA4EbH9a85gw1Z3h+CtDkTWPCdNaZqcyDaWahhR96lp7/n3oKa4IiIAIiIAvAe35+5JSOBEQAREQgbYEZGPaElN4ERABERABXwKyMb6kOoejNxQ+8InSOZ05ipihyKydbAWfI+VUURMTkI2JDty8m8BtFy6VyeG+kwxFphplK3j0VqQM5paAbEzcqsP1w+h36NMFV5Dhqi7eZTnhJ0ORWZvZCj5hZZZo/QnIxvRnWJfCw4cPXR/J5duF42Y/ROoZikzM2Qo+hJYpz7khIBszN1WlgoqACIjA3BGQjZm7KlOBRUAERGBuCMjGxK0quOR6+vSp5YEN/4WFhbhZDp16hiITebaCD61xyn/cBOj0F2Xki55uBGoA4k9wqIVkca4M73CL0i2LscXKUOTGxjLVuk6me9PoiKYhRZ9KdwnovrIwQ4CaG4pw3Gjr1q3MBmaGDi4n8GQoMmstW8ETKO00bvqahhR9qrv63uXc3Dj2IViOm6FWZShyo40Jq1QZpjYNpZqGFH3UT3di9qGnuCIgAiIgAr4EtOfvS0rhREAEREAE2hKQjWlLTOFFQAREQAR8CcjG+JJSOBEQAREQgbYEZGPaElN4ERABERABXwKyMb6kFE4EREAERKAtAdmYtsQUXgREQAREwJeAbIwvKYUTAREQARFoS0A2pi2xLuHh/hL/lHT27NkukecwDiQ11585+GSzKspW8ARKKrYJIMfIQjYmBtX30ty1a9fS0hK8k0XPaTQZXL58mZcdHTx48NChQ6MpV/SCZCt4dLIffBCW7cmTJxOUWVmAgGxMdDW4devWxYsXo2czpgzsqmlcMu1eOz2mMkYpS7aCR6H5fqI1bLdt22bzZp+XDRs2nDp16t69ewmKrSxkY6QDEQlcuXLlwIEDETMYa9LZCp6gQspsYS1aXRL85MkTmKI//OEPCUqrLGRjpAPhCXD/CQ+SPnbsWPgMxppitoInqJCwbHVtZYIqYxayMclQZ5TRnj17OK7cvn07LU0mT7aCJ6jfsGxlYxJUmWxMMsj5ZsRJDDzo5IYgW8ETVHQQtlkNfRJUSk0WmscMy3+CucOi2FkyrG9Awsm4ZauvrWwFT6DEMdjKY1aCikMW8oMZhnPN1Hv9+vXwr2zZwO8yZv1hch00FU+RIfvatWsHLWngzLMVPDDHquSSsf3www+/++47/IwhlBbi5AczvF5lqFUZiky9yVbw8M2mlGIyth999NG//vUv/IwhVDIpYhQ+SJrygxkEoxIRARGYVwIyA8lqTvsxyVArIxEQgbEQ0J5/spqQjUmGWhmJgAiMiID2/NNUhmxMGs7KRQREYEQEtFaWrDJkY5KhVkYiIAJjISAbk6wmZGOSoVZGIiACYyGg/ZhkNSEbkwy1MhIBERgLAc1jktWEbEx01HaXH9Q6E4dd+K9su2I9H89spkn0ppWh4FHbEv6X2ZQKPpn65zXaPf9yj4F+A7IHkbrMjdlFShzZycb019WGFI4fP84LIs+cObNjx47o+Y0gg61bt96/fx8i45/8FxcXM7GsBA9hIXJWLumSaRzuyGBTgk+mnpmOdh4D/dm7dy+c+7H5xHbxB9OC7HrCrI8uGxMV738TN99Kmzdvdi+ViZ7xQBnQoqxcuRI/eYvM69evByrLANmeO3cOXeEAGSvLNgSG3Y+5efMmvOBUlvfRo0f4vmbNGjYfWFM0qHXr1uHX27dvo9i8A7DS87Q71bNVEzdkOUekGVtdZWPaKGa/sK9evaKuTPtBw8AojJJilIT3TO7EhLxYJLxz58407qMboZZixM3lsv43eQ87j3nx4sUXX3wB9514KXDetGkTvmAqbDMYNCiOTTE5xuQG2gUzg4ic6OA7Q+InfsVHLCHgV1gORERIJMVFBTRJGKFCdvjOHOM9uhMzDFsflUUFnz59ejIdUL3I0PhLly5Brafna7n+3kaMT2FTYVzhOycr/2xBGpJPO0K/CWPT567VCxcu/PGPf/z4449XrFiBYn/yySf8yRf3C96XL19uH90AlYH5EcnWb/acPHkSzp6Z7P79+0+cOMGJCx8KyHcssEOLOJWBjSkvEoIYWxlbHPKFAcZiNe/ehR7iT2yDDFDmVpN45zp161E2pjPG9yI2tg2ONS5evBgmvxGkUiMy/kQVZ2vBMGpKU5lZgkPYpaUlVrFsTDcNbWxHTBbDNdrybrkgFozB48ePGf3t27f8yRf3i73j5d27d26AmsD2p4LdMmOGrAszmCNHjhw+fNi1NDQVyJeTlYKNcdf6aGMsPAJj8YB6WLj0nakV7kGPbWM+4B4a8m7lEFuBCwTqAaLKOc+d0jNLZFgXV1jIjrFYDoJD0kKXN71Kj12Pnh0RgnH9p/ODqcY///nPztHrI5oUb968+fZ/zzfffHPvh+err776/PPPXVWB7cFUBgELyVKjIKm7VoYw/M6VMZofvEDZyvqGL/xrzVNIPAgTtx5lY4IgrTPSkzQwNeMSbiEaVqi4HQcKw3roVHz6QbTtiVnWNNRnsUU/y6NWeAC2sd9sLO2vf/3rf/zjH43BugVo1BDMWmhjYF3Onz8PU2QZQTrTHG5q8k94MRPCU4v4yK0XszGu3aINRlKN9lg2plstp441S6vKB8km0+HWNCR3RG9dQ+oqiZZfYw/CQaVsTIcaqGHrnpfpkHIhym9+85u///3v/dOpTKFRQ7AHs3HjxoJ1cYdlZi1c28OPNq3hrzZTwXczvXixd7cxlm2za5bwHkppXQLajylA7vir5zpyx9RHGS1DkVkP2QqeQA2Tsf3tb3/75MkT/IwhVKMU2I/B1oudGghSBmy94N/vbDsQh5I5+xnkcQno7PIgVaBMRUAEhiTQaAaiFg6TmLAGBqXFkon9szMMzHj+C1g2JqouKXEREIExEhj2fzBjEMEiPP9Jk6eZ+1+FEKqQWisLQ3LYYVEYGVqmkqHIWitrqSOtgydTqt///vd//etff/e737UuokeEZFJ4lGWYIForG4a7chUBERgJAZmBZBWhtbJkqJWRCIjAiAgMuCU+IgrxiyIbE5+xchABERgZgentx4wM8E/FkY0ZbdWoYCIgArEIaK0sFtlSurIxyVArIxEQgbEQkI1JVhOyMdFRV3p6iJ7r0BnQuZ7rC5K+/PjQB8ZUH/nBjFezodjKxsSro0LKsjHRUV++fJkXQuBSh9he7aIL45cBbh3GDcSF/wJz/VvgMuapOseUH0w/HekSSmy7UBs6jmxM9BowByoLCwvTc6ZSiQ///1X2YoCPvFScV7JP1Tmm/GDGa1EB2WoeE6+aNI9JxraYETxeHDhwYLDsR5Ox64x5NIUKUxD5wQzDsSqVsGxlY+LVlGxMMrY/ZsSdCZ6VlGNEQMBoFMuGBUdJqWslTn64T3eWn/Y4GWaUali2sjHJVEdrZdFRwx0k92PgfFen8mFx4fF+Sv5ATYEgGi6+7eOcMbouzm0G9Wy3bdtmx0l8Xj799FP4KFu9evXc8pirgpsDnEiuFDJJFnXuIymC9fTf55NLmjCNIpd9qBTcl6UpZ/BcZgkuP5j9UU+DbWPT6A9q5Cm4BDSPiTsiwCKynSXjgd1sx7kQH8fJJnyBByZn1vJpX8dz921cLY+futjGZxwrB9mYWGSZLiwKloY4f0cPW3aLGTf7gVKHuyTIi5vGFxcX7b9hjh8/juLYUkYmx7gHqgFlKwJjIaC7/cPURIZbiBmKTF3JVvAwTaU2lWmwnYYUfarbJaB5TB+SiisCIiACIlBHQDZG+iECIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDZGOiACIiACIhCLgGxMLLJKVwREQAREQDYmkQ6cPXt22bJl+Jkov6GzuX79ekHeQ4cO4Ys9QxcwSv6sZT7Pnz8v5OH+lWFACWF27dplsdavXx+lZPOfaD3b+ZdvshLIxqSoWnQ3i4uLO3fuTJHZCPJAp7m0tFSW9+DBg9//7xlBMcMX4fLly5QPksKmFjI4duyYif/s2TP8dc+ePQxz5swZ/unp06fhizWJFOvZTkLEaQohG5OiXs+dO3ft2rUUOY0jj1u3bl28eHEcZUlaCrMQCwsL9dYCKgE7lLRwc56ZP9s5F3RqxZeNiV6jDx48uHPnjo1Yo+c34gwuXbrERaHJrxleuXLlwIEDNVUBFPv27bMAmOa6q2cjrsPhi9bIdvgiqgQOAdmY6Oqwf/9+tIro2Yw+A8xsuByEZSJ0qdyKmNjDXSg8kAsrY7Okg4nFQuKWLVsYANM+krl///7evXsxKJkYliDieLINkpcSCUhANiYgzIqk0DB27NhhvUnczOYk9bVr12KZ6OXLl3NS3hbFxGyV1mL79u20NJUPthYw8ij/CXoC2/Pq1asWWWYT1JNtNjzmRlDZmLhVha1vWyC6ffs2xu/YD4+b5TykXj5zNQ+lblFGTmIqZyScwM1aO9WefyPlMttt27a5RxYb3zds2LB79+6vv/66MS8FCECAwy4kZCde9NKBgA9ADFHt+FCHLMYWpVHkgrzr1q2zFSHExYrZ2CTyLM8swbHSZQfneMSDCeIjUFjiBSzgYH91Y3kWZmLB2rLtLH6j9nZOWd1pgYDmMQHstJIoEMA/eWAsyXmb/RcI1gw5wNy6dSu6Y6yYTYwbVrpwuIMyYluFp5MLD2Y2wIJBtH0nh/pYEwPVQRwfth2SVZQEBJbR5kDF+aKnG4EMAWYoMnUjW8G7NY1WsZKxjZpR1MRb8RwqsEtA85ihakH5ioAIiMD0CcjGTL+OJaEIiIAIDEVANmYo8spXBERABKZPQDZm+nUsCUVABERgKAKyMUORV74iIAIiMH0CsjHTr2NJKAIiIAJDEZCNGYq88hUBERCB6ROQjYlex/yHRD75XCRT8FGGy2MKN3xMEoWnHy26a5vkraDxmpPdiQl0076LqCwpm0+MJoN/CraGGUkhZWPiNYqfUsYdIbyaAjfspshv6DzKPsrw3+zu5Ry4PaXyUsihC943fx8/WvT1gJt1+maWWfzjx49ThXAhE+6MmGvpb968OesudpgTXBLBS4lwVUTZ011AwaGKp0+fJlUki3wDJm5JycbEoJp7mvU+ynifyiQd6vj40UKrlq+HDi3E2G7evLnynp4OaQ4V5cWLF1988QWu8sRLoQyPHj3ClzVr1uAnRmZoSrA6HJGg1dj0t3LG7C6Z2GzPDVnICzf02KiXXmtjTBB1l0wYNau5PQIVb00C93RN5p7/xgszMJvBFfdlNyocms2vo8xGwSHdLNmxHAEDg4YNrYCxmaSh7dOifNiCIeY0fS6ovnDhwpdffvnJDw9Kaz/54n7B+/Lly+2jG6AyMD+uWLGi/mqukydPnjp1isliQn/ixAkaFfbytCiYylgb4UeYAZoEEMCF7vir+x3NCle8I1+M4XAlINZOoF0IidkJux2oHOLO4sZuKtSNYm49ysb0aRE/xfVsG7wqcRrXQTaKXNnPslXMNYQawdmkoRbWHRTUC3Epu2xMZcNrVCrECoIOGb158+bt27dI0H7yxf1i73h59+6dG6AmsP3JzBjtlhmzx48fF2YwR44cOXz4MC2NaRHesTCIUVrBxrjoIAgaFCxHpY1BG8SfaFcYoLLpMUfmFaRDfK8ebTGuz13WiouK8YEAbcCYwifk+MM0ilzpywB67F50P34xyyVsFJx7BuVg+GjOHaAJtks3jxAilbmRLUb35kChTxkaMwqSOMzYt/97vvnmm3s/PF999dXnn3/uduWwPZjKIKCbKToKhoFV4EKI23Dc6PSaYeHxJ0NU3vYr+9RgRHO90Udwi+vi/bFnjEo8SKFHnognQATL3MZMgEDnuuaSt/sE6S5H3jRaFa+ebcETT6uUC4E9K7FbFo2JY9ZCNYB1OX/+PExRZUaQl+2lYGP43Za2aB6gXeXRG740Gg+WpJuks2K5CWrPv9DqA/+KtVE7GYLNN9T3ZPZjOpDClHzCBNy65jFQ1jUUgKdOsZhubZLzmPndlOpQ+z2jACOWjKZxMhOLaRs3boR1wdwF9sa2doAIvQQessL5Q2pRYXWdO/P4WHC0ykMBfPgnbIjCFFX6Y2UW3KQJtQ1TXcVaKwtiwGsGAu50NUheI0nEU2QEs0UhoJiAJ1BPwW1RonL0rbWySjWexbZ8kKznSmPwkbsrTmPiWDebNXdBOpU9Bldf8di0hr/aTAXfbcqCF3vnpIdPYU5Dv6vuE2pi7RLQnn+16W371Wevsm2aIw+fociskWwFT6CQydhGzShq4rNqATMS/NsQZ8aYN2NOE3d2UqsNLgGtlSVoOMpCBERABOISwFTP/rsFBqa8+Rc3+9mpax4ThvwgI5cwRe+aSoYiax7TVVl84yVTqqgZRU18Fkr3xDNPM/tCjxBO/x8THuogWhVejDYpZiiybEwbBekSNplSRc0oauJdsCaPo7Wy5MiVoQiIgAhkSUD7MVlWu4QWAREQgSQEZGOSYFYmIiACIpAlAdmYLKtdQouACIhAEgKyMUkwKxMREAERyJKAbEyKavd0j5iiKKnyyNMPZqOvRjdAJLeDqWo4dT6uK1WhS02/R36yMT3g+UWFgbl7965dNTGNi/3rRc/WD2a9r0a6OOQdM7j5I5LbQT+tnL9QdvsO0bnetODsy+7p8nn59NNPP/vss/lDMKcl1n1lQa7/Qu3XXEFavk87SKbDJlIjMgtWebc/u9fGuMOKVp+7T+ErZXQ/8gKuSSpGn7qbxda9jKtGtfpkHTCuj4YEzG6ESbkENI+JOzbgaAtDMA6veP9u5s/Vq1fde/omSePVq1dl1x24QBd2lzfd4mop3HKYw6Q2SP0+fPiQ3PiAW9lLcZCMlEhwArIxwZG+l+Dr16/d4SruEcp8KRlGF874jh49Gpf70Klj0QyulMuloJdljDbwM5TPwaFlVf4iUEdANiaFfthwFeP3ly9fpshyrHncuHEDY/lpj9/h6QTTFHhTL1QCd625ZwPHHnh3NxXGWmMqlwj0IiAb0wtfY+SVK1cijHUl6lMWFxfRyTZym98AdKVV6XwM9hWDDDouwyQGtvbRo0fzK2nKkq9evdq95BGEFxYWUhZAeXUmIBvTGZ1XRAzYsS6PzoWWBmtlu3fv9oo5xUDT9oOJGqv01Wh+MBGAng35QBlWrVo1xXoOLxMmhTgfwXVmeHUEuk2bNoXPRinGIKBzZUFOZaBqZqXjuvDD8Zgg2Y0hkRqRC9vdmfjBnOWr0fWD6Xr1mIBL0OB6WKNUPJXHZ+TtqEaK4MTGmaBLQP5jwhjuDG/zzlBk6kq2godpKrWpTIPtNKToU926278PPcUVAREQARHwJaD9GF9SCicCIiACItCWgGxMW2IKLwIiIAIi4EtANsaXlMKJgAiIgAi0JSAb05aYwouACIiACPgSkI3xJaVwIiACIiACbQnIxrQlpvAiIAIiIAK+BGRjfEkpnAiIgAiIQFsCsjFtiSm8CIiACIiALwHZGF9SCicCIiACItCWgGxMW2IKLwIiIAIi4EtANsaXlMKJgAiIgAi0JSAb05aYwouACIiACPgSkI3xJaVwIiACIiACbQnIxrQlpvAiIAIiIAK+BGRjfEkpnAiIgAiIQFsCsjFtiSm8CIiACIiALwHZGF9SCicCIiACItCWgGxMW2IKLwIiIAIi4EtANsaXlMKJgAiIgAi0JSAb05aYwouACIiACPgSkI3xJaVwIiACIiACbQnIxrQlpvAiIAIiIAK+BGRjfEkpnAiIgAiIQFsCsjFtiSm8CIiACIiALwHZGF9S3cJdv3592fvP2bNnuyU1X7EoeEHYBw8eGAwEmC+JfErrVvfz58/LUQ4dOmQEfBJUmBoCILl+/frpISprEXQJwu7atSu4sG5ekZqkbEzwWnsvwT179nzvPPjb7t2742Y5gtTRGJaWlnbu3OmWBQZm69atBgNkRlDSwEU4fvw4BTxz5syOHTsKqaOnwMMAgAN7Ezj7bJJjz3jt2rXpSQwN2bt378GDB6Ekz549i6okaJJXrlyhQoIk8o3BUzYmBtXqNDGoR8+ydu3adFkOlNOtW7cuXrxYyPz06dOT7BRcMZ8+fcpfN2/ejA6iQABVDzL8uH379sqJzkA1NmfZcug2Z4X2K+6jR48QcM2aNfhJhYGerFu3Dr/evn0blpWzDXQmNiE2RcKszl004Xc3ZKEIW7ZsMYXkiDCGTsrG+NV8iFCXL1/ev39/iJTmMg30vxgoZbJS9OrVK/YLs57MlWEuNThJoTdt2oR8FhcXbQYDS8PxCswALCvsK8zMixcvONHBd4bET/yKj/fv38evGM8hIkIiKXzBdyjkrKVFmBYYsEgjYNmYJIrzwQccfUxygciTIBoA9D6TlSIsmmHeViZjg0qspOWsDJ464xls27ZthV3P+l83bNgw2iVrGAZO9y9dulTe0SQQaA7XCbgoYrPnMi4shcG0YL6CP0Hl0AYLMxVuEHI8ZHMaT+yewWRjPEH1DYbKPnDgQN9U5jz+qlWrKAHmczFm5SPBg3Y7y4QcO3bMlr8nuV8dqQrMNldCu3fvnrvr2fj+5MmTv/zlL6NdbeNKIKcjmIVUtpTyesC+ffsQHt+x64ntHI5gYH5gVxgYRqtcO7BVxAUzgzDYoQleg7IxwZFWJIiaw1QU/UuKzMaaB5QYK0gs3cuXL8dazL7lgoFBp1Dejiqke/To0fKgsm/e041vtrlmzN5KevSno7UxFASTD5gKvLx+/bogGhfHuDJmf8K8mYtpeEz9YJLR7lyjO2s/mCPghw8ftsLoE1g2xodS3zBXr16luuT8YGiPyRwJTHU3ggamsOaAjzx1ivVSO8x948YNNP4cDoCMU+cHtzE3b9605uAigoaYkty5c4fGpqAnnNngY2HawUMBfPgnHC2BKZo1O3EV8u7duwiPsyrh68tm7o0TTAWoIYCKmfVX7stx221KT43Ihe1u24ax7zjaO78oZglePkhGwTG8sAGm24Dnl0C8ktcolZsp9MclaXj9C/azn/3sP//5j3/4ViF9pDh//jyCffbZZ99++20hcbf52J9MZPQkrqZBds5U8N2mLHixd3d0W5jTUDmNZMA+yiXw44RxcKse3nimTTFDgBmKTJ3KVvAETSoZW9iYjz/+GBJ98skn7k/+Wvi+fPly++gGqAyMjytWrGhciDt58uSpU6eYLLYnT5w4wfPKnR8si2GpgKtkmDdjTtNYhs55NUZ061E2phGXV4BkbcOrNEkCZSiybExszUqmVD//+c+xz4Gfb9++hVD2ky/uF3vHy7t379wAswLbd9qqslnCl8ePH+P8scvzyJEjhw8f7mxpgA5zGq7Tuu+xq6wyfdmY8NiTtY3wRe+aYoYiy8Z0VRbfeMmU6sMPP/z3v/8NG+NbsjbhXClgb8pmCV/+/Oc/Y0vGUoXVgYHBhKazjcHmiv2jPtbEQh2OaCP3T2FlY7pxq4uVrG2EL3rXFDMUWTamq7L4xkumVLAx3333HX76lqxNOB8pvvzyywsXLnCig4UyWBeb7rTJaqRhXQI6VzbSSlKxREAE4hHwMQPxckfKmMps3LgRO//Y88cq2ZQMTIGb9mPCKNLgKhtGjDapZCiy5jFtFKRL2GRK9Ytf/AKbKx999FGXUjbF8ZEC+zFYFpuqadFaWZOOtP+7j1a1T3XUMTIUWTYmtkYmU6pf/vKXb968gaWJIVEyKWIUPkiaWisLglGJiIAIzDGBAY/2zjG19kXXfkx7Zi1juI65MnFQBkJlH2WTd1BGvah0zuaqjNyUtWxAFcHps4tPtzaFiP2LoRR8CMjG+FDqFQZX1PEfaPHfubNuuOuVwfgiV/oow31KvGEJ//0eyRvS4CQqBS8YGPxq/7w9eIHntADnzp1jm8LPbm1Ky1nJql57/mFQz1JZ+hdC38obhxAMrYJXbc/709hK0eHiuqTyTaAFJnPHoafgWqKpqfFGtuW43drUr371q7/97W/4GUP9OkgRoxgDpqn9mHTwYVpwIxAvIEKfi/dpGJg+BHEdZCRvSH1KlSAuL9C1RZ6obnQTiDOGLLAyaf5RWpVHa2WtcPUJrLWyPvS84uIGIZgW6DT+87bxynevFOczkK2hY3EjkjekkYOhawMulGFqC38eMdx1jBxCqOLRVGPRlZcTt3001WhLrHN42ZjO6HwjQpsXFhbQrWBDAu/ZdiuY0rF7xWphthzsSl3QwGTOHOr4KlOu4co+ysxUAymdzLZ6ZGNa4eoTWDamD73muNB+dCX0SYefmNDE8ALUXI4xhcBqIZhkyAFuQN1b2Ye9UWpMGtFcllk+yrgWvbS01JyEQgxEQDYmOnhcsm15YF6/evXq6FmOMgPzkotFMzCJ4g1plIKbjzJuxXHQjeks7A0HH3raEnA9LmPJEesEbVPQPKYtse7hOeVE/FZOeBS4QKAGoOsFCO+TQVcjcqWPMpeDeS2bRxodBDcnWnTSzocnufW4BDw7ItdHWTd/d3AJgxvDIsH3lCJS7mNI1iWgs8vdzbMbM8NhUYYis8azFTxMU6lNpRvbbdu2ff311/7Fw0VhOFX/pz/9yT9Kq5DdpGiVxcgDuwRkY8JUVoZalaHIsjFhWsvsVKahVNOQok9d6/9j+tBTXBEQAREQAV8CP81jfGMonAiIgAiIgAjUErD7LH60McIlAiIgAiIgAsEJ6OxycKRKUAREQARE4EcCsjFSBREQAREQgVgEZGNikVW6IiACIiAC/w8/UMB4AlRw2QAAAABJRU5ErkJggg==)
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7PRqq9m2snikc/+tGdjW/TWotf+ZVfWetGdV7i0BxYulrGibbMc6nXynQghanvpDCGVkE+0IYAuDqxWht4XGP3bQZwTebPtcnOskkxMIkaNd67avBWVVZKYxI5pvXEWhTTqNfLpKLGi4efeOKJe7Xi8dgPEngDABzKZIa2b3GICk0C78J40cqYgERqJQnsb6ZEejAfdHbvQUDsoSMHLzCGklTKZarQrZ2vXFIeeGxheQIV7EPBwwYC+DDMRqrX9cxnPrPbnLpI3nTTTZ0DK59Z5/kBEzWWA4mGEACv4rxaKSwWrp76gz/4g4/IyR4k8AYBOOWEs6jQ2+yFrteU5H0TAjnwNGWXPLFu5hLJJpQjfCc7ahHVSPshHTGNiZGVlUYGWccBwBsE4L7JDJW2uaC/BYiHa1BhxMPK2ytDy0ZN4/NN2KCcWMDLDma2rDon2bHY3vqlcerpZilHGgMfYsILAPAiPYKzzkba5jBSXS/VN5Eork3Bvvin5Il1n2OtRqIlCHGRwOuqy7UuUk8xb5J4KC+cE8Att6uOjGzIvj5G8wx37kul3IXG7u2ga/+TbBqc8676W2sciRtSCJMjva6B2O14UlqBrpeJSW8q1TXueyyiHdBWA7h6/fxNUurH1MYzPbNjE/ifVUr39cSqtK3jRes8ogAglUaqjF7/+td3Ek4LV3nAPL+bAAYkB1v3yBQzrJrCqKu3uZZQVilc17nuu9qa6LDEj4+admPR8573vC7Nro94LqvLf9LitXHgcSr0Ns9GqteuOAB4n/vc53a9kV/3utd1r//cz/1cN8Ykw7ZXvdmqhMqxaQc0A4kcq8iFXuQ6j7vGKpV3VSKPBTDuR7oC2Ud8xEd02TEyp7wmfkt6Urs4GtS+ZlFncX4EwG1j912YjVTjm+K9d7/73TvHlaR9/ZC9TnXmcV115dE4APtfXDrVSLGBV3leuf+Yh+y0W2+9tesnphGeqMXLXvay7mH6IVW/AlJCzCte8Yru85h+vOiHEsD1xt5www2d99TwZu1hzjrrrK5UTpxO9YimZA95yEO6DVq/O41SzFBTKSsBrmKGbQNwVf/kFZO+Qka86grYs0Y2GUDz+LYq3zj1MO9VBrkI72x+QwaWc1KRpCvlOgCMHPtpT3talxetzNK+s44qt/xPYPAjIEznkksu6TK39CFTh33ve997dNppp3Uaz2Ggo/q4c26cRZDcbkHYchwcb33rW7vXZMzgfGl3ms07S8ZMnFi75oUOmGgW97nPfbpJgjowCptFLbVRObAwMXZxC8rYevX1dsJDJPwiJzOQvEI4qqKqCr1uW1LpaS1wCJGyun8+4AEP6Dpqhqw3MFv/dLzc5SyuXhW63RhS3KS6TeKe80iDeWYjbYMEblW0F7/4xZ3UYOeSxIAasIixsoExQZrLJI/ppPDJfjdle7wcgw2MQQvjVACvW/VUWw3AGccSwtytsdBXS0wT79lnueZddWodNe4Gz2rP1k08a85qZiPVSQNtY/dtS6XMOvEwqzTSicPfrrNmPAEwT7SkCQAOgFTjSLU0seD666/v5uzWPGmq7Qtf+MIuBRNjOAiQ+0oWbXoaFQDvZzrhsigSWJy6knXQ6aR6zOseomrrDtrHtHYawH3ueuEPdslTnvKU0bXXXts9NB5nI9t01d6YJIXrgO9JxQx1vOgmFzP0Dea68soruxm+7FveeSWD9doBThtVzEn1TQio+RVIwY/6qI/qCgvCFHTzeM5zntM1yAN83yMxTVKYtubTKM4jqmfCSOtKpewj5sexxx67B+BcK3vX1Mb2XmTNnvzkJ3e+ml0PKc2UiQXAT3rSk7phWx42KQkDZBaRpMnmnDUO3DqxWhV6G5ratYO8gYvq9vEf//FdOKYWK4QxWiMN3IXlUgeMrAXGiGHp1hG1G1133XWjL//yL9/735oANPsPiEkh4Ca1qechzACz5PU2lyileaS9e/Dud7977/xkhXk9Bf2bIrVEPyqAc0724Mknn7w3CL0OV0ciJ6IALcAPJYDHERVQc27cu3LHacSuUQ87rhppG1vqOM9zzjmn60IJDNInA5Bcn80FfJI4gIXjKBuONqLAwbNwCJCHjOa88MILuxRMQLeJzU069dRTO2CT3t7jnb388sv3CuQvu+yyLsQnDm1D+67fpooLz7h3uQeSSnyHep7JgZuw4cep0GLquppEi6nnq4rJKFPXXRnoLkrimQA86WZqZG74VmgS124TOcZlYm2LF7o6rxI2Aijnz0vfXne+Q70mHTU2DwE7AAMUkFFlK7FRxUYvvvjiTuMR9gHirDnQYgxGd/JwG3OaXGtqPBPIeVE9MQ7MF8B5xBGVXIRBLHiT1txe6QOw9dAQ0HW2ZD+6F7SgrM+hcWLNS1RrAfa+zTrppvSNVtkmFbraVpxxhnU99KEP7ZJbqMAcQW3ueP7mKIoXOoSZ8TEAsKSENIRvSRID9ZHDiSMHqeElbdjKfoMjTIP53AvngimQWmecccbotttu66QwNTySXjkhAEswWUcq5ThSO20vmPDY7jFrKM+cs8p+8viYj/mYTvrW7MBdppkAzK6iXunWIKTkGeemgsk0ymybFoiTANwWM2zbeNEaaqO64vjqaVXQ1PWoFHtZqigVO0PP/I52qvwK4uokrc2Z9aQiA1iSQACYhCaxnQfQRmI/4xnP6EwU9nQ0GFVQpC1wcj5mUmKNAphBzKyRcFJj1usme826xOHZTnOkjaix5gCUZGRNxjG/QwtgdtQJJ5zQZbl46N8rC0vA3Capm3qWeHAK+sclcmxTY3dqKo4vI4ham7Eo7RjPgNHfGplLF+SoCrMjHSV+UAmFQHj4w7wAkGRh30qocRzrook8Scoh9oQnPKGTvKQyDUbc3ud9BrMkkf1eGADNiYMoXS/8pu6QHG/LnE44L4Mct5f61OK2ii7fP3SJHC1xfig+F0zHCdlr1UFTN+ks1OeF3pbZSK6zbohUG7Fr2b9pzp5rqs+Is4sNSkqQqtmo1pMzkG3HHpVFVDcpbYWjqa4zVddnEalqPa1XVGCfpZJTk2lL+a5jsb+rDU9F5UUn7WsixyKyvZZ9P8bNnWpLYQcv9Oj/V7v6JGeVNtPAjPO3Tqxtaexer42UA15hHn+brpBN37dhvOZ6xM1lEAHsJHPjIF0xxHRJYyEtMdHYun2/5zVOIkwFgDfFBk5i0LhYbitZ2xa+A4ALUdPYGJLLOWwe+MAHdimD7XSFWWgWFXpTG7tXUFFbnad4rkKASMNxGyabirNIbL2OUlk0kbJMEEBmX4/b8HlNaSMnGKa5SYkcOc9ZNLzD2Ed6LICragK8bFJ2FPtNOAII73e/+3XB8jhDpi1yNnQau2/jbKScI6cR6St5gi07rl66BTDAiLXyHC8TwPMSZxA73JpXAG+6Cn3YaWpBv2dVHzZqS+wuw6zl6dYbPm3z941WaVXoTWtqV7N9MCqllccff3xnl/JC13Egk9bAe1RV4aBqL6+bIQl/iSzwfm97L+4BwKP/k6Y2nCygWo1UN6hkAl0WK+inkTCHMMq4emBq3DQvdD2HCv4WPIuUIPkdoZY0H7fhaQx5f1oDNjYw4HIYJdFineGarBsnJbvcfd6kOPBA+wRwJS110g6mJWGKOllvFurryDGtsXvfJp9U/VRLHAPi9rU6xLovbFEnJmSjS4rQdNyD3cgcmNVmzHHlJWNS6Ym1LhW12pY84tabdjAplXKYV7SFALZRVciQPJwj1EWOEXmqPJxCEBxSAOkxTqK01UjzNnan5skoAhpACnh5s4VwzOGtzKRK39r4rLYqbecX5Tzawvp8znmTvtRNyS1JoJgld9j7rkeapWoj0m4T7EvrJKfYOdF6SOBxjqPD1PFxZwBM5dVoW5mcBA5lWp5tZDawtjta6zz4wQ8eXXDBBXudEMZR4sDjxov2tdSxaTAK9jhnWl6n+slEkv+qgFtOsg2JCRw0BNUmAmBS2rdo74KZsOVzjFk3ds6NCZFc3XWTc+dJd04yn6oKXTWcWZlNrdKqJZftY6AVAZiqJw1PiqAkfF5Uubj+p3L5myTyOjtqmhMks5HGpVKmIwdpEBU678kWEhoJSV2UBVXJOanU4VxLIz7nJ9soRILrwiihwWdijyu983quoW40ebmYFgkqOyqle/NsSNcDLNIoJW2sW6LlvDFH5yRGXU2CeUA7aS1qk4hdLi7YGADXTTXJxtvPjcholZqLW2+qXGEA7osD8/hmZo6NAoAqdKjVSQHk4ZbyeeONN3YOI5JZwcVVV13V2dfUfDnBVG6glAwPVCS+11VYeVQGk+oXx9KDSRisqt/TQFhnBTsWOzhx43VMJMxzHS+qyAKAw7xyTVR92gaGilnTyDBE94k2hWm3vb2skdi4tZd5Nm7vtD2/6lpV/0MfA6gFIgOAGyDVTaVqhWraR/KkbeYWhNMA3NrAlVLMQBK3Eljdax16haizwKrm1Waj1kqAT0qgFFBgVCTA6WbTqRgKc5IzzHZm56eDhtTDWkTvu6Qv4InhSv6fFzSxgTEKDCwq9Cql0TiJLw6M8SlWCWPNmqtHPuWUUzrtBwMUPuN5F/vmzEtfqlolJKfbvZKfTaNB7OysW985pOHAuLVrXwvzOcwq+djRKp5VxnBaPe5xj+sauAMcMHBgec9mV572yle+8g5cdRJJpbRZJk1miApdbWCEo3Me1Q0TsnGcqw0HlM6XjazUzvl/9Ed/dFetQxLXsFiK4VW0ADjHHGaQWlllf8JapLPffs1rXrPvBbc2Nj8GFgCv0wsdEACwcxKf7uuJBYhhbsAJ5PYATaUla1wHlyP3Wq8vlUNpaM9sYZrVskpkf3nddzyqRkAD4DGve61GEQ49gEMkn0R9nJfqqAIJWDmr1L16aCrGcZUbO2t3ynTkGNdSZ9J8YNLTJssNlExSw1HSG9moqm3ceB7v1CuT3DYXT3a0Bo4ppXY8sIBLQsTLno1j43HgsXlJoWzA/YDXb8rcYsfXnljrpJgisuwApK+xO3PD2tBqMEDgZTfLtw6Tzee1+eGXqGV91o7z7xGPeESn2VgH2hvNSaWVe47Y4e6H+6TSioPSMd0P4Uyve4121u6bw0h3AHDta8XpIwnewuOcJIab4jUPyQi1TnOWcRcoXSmnSeA2jGTDK7lzg+Mp5UhT+6q5HgmZqffytAGS6k8aMwN0pbDhOOV0rvB+JLNr81mldn6LR9ZasOWozjzfKo5oDpX7z0vpnmH9ksgR1XEVEqRKq1p4wgZ2ToCWMFIfgIE7AGbDK3usnvgQByJtCOhyn2kuVXviV/Ce9j56rfkd659uJmxyQ+GcIx+Hwozccww6/bCyrgOAx5BFn9QXet66y2ktdca1lfV5XnA2Vy15AwQcuXbHtAl5xTm2aAgYD2mdNjaRhDYucKc5OIcLFTd9vnD7O93pTh3onHNCZPtNaLDpqOFUxBwjG3CVKmBrC6tGck7WsC99larcApgExthq4kddE/cA8KNmc2ql0R/wek+KLoZMLWfu1IiCYxEcNDXSmFmDYaj+8vkcd5dHpywEwLNy9llB3NdSp0qDANjztBuzn2LtVN4AONtOOmhfzJjEJX1Jc6pdLVjYr+PE9fDgCn9tyvgP944dym7VV6tvuNmLXvSi7jM+y08AVNTagLMmvPCTBMjW8KKLLur+ZjoxVRCfQ/LrHZdExWyBOY4uQsN33Rt+FqaPPVPr0Q97ZthMAGazsC15adkrVE7qJ5VVCxPSaR4O2DeZoVLCSNWJVduG9kn8WUdLeo8UpQpzXlH1xsWtqd684WLDVOqU5eV35t04sYEBmLc34ZV1OWDqWtFS0la2BTBTib/DevnMPe95z86f4B4ed9xx3f2qv0ndJaV58qnENKncV0k/bGSeaeE7zNPn7COESUoGYhsDrb1GEtOQaEMkcNr2tuNnBifWGGIbuiEW0EJ7trBupL7Q1Ys4i1MhNvCk4WbjulKOu1F9w8D6aFrXzPw2O4v0NQ2Pqh2vahuPnJdS0M/eFP5a56arajR7FmMBjMT9w1iYHa7fOjh3f3tmL/u7ziZC7hmAAnsmMIbZJvkH+b7aaBK7/gZmwplGEnOk5nx4vjHcVEwNySAHVKEtNIdP7Mpp6mzrxGpV6NyQdY0XreCXsKHXlfCK863S9yCURA4OGuGQdW7CygxdH/DSCuIgXCRzmfW3gBtT4JVm6yZkN6Re7hPA0yQNFSh9oWdd5D4n1ibMRsp1cpSRvlQ4klJ4ZVGb2PUwDdiDQLxOqmZIzAS2+bqa2ll/kp2qLtGmquYD7RPA00DJLtbHuN6EaVIlLXUmNXZfx2ykAJhtJvbN2TUp3LUfSjEDOzFtZdcJ4NxfmoYYN9t80+qBB+m7DwDXRWOrcC7ITMKh2SGcGLyRNrqwSN+mGPebJHDbkWPceNFlS+DW8SVERfrKkfZ3srEWwRyizZC8dbjZujZoVaGFtJxTQnSrDs20OdH1711uC7twANcC95BO/sZbKKXjjfRQLHDppZfuZdDMswk3obF7Wt9UD6b/2b66/bNTky12kO6Q7fU5BobHYRTfwSbEMMVgOY6EfZKJteq4dDsVc6B9ALguXjYWjgxsnE61cL8F/TwAntSVss5GWhb3bTcMksgQ25ckSsrmImONAbDQTJ2NtC7KOgAwBxLtYBMauw+0TwCPA6Sbyt0/DnTzkGKGVgK3jd1TTrhs9Sm9mm1imT48z8JisoZyfotU4/wO5sDTynG0TqoqtIiCcyKFq99hkIRbBuA2zqrM7pGPfGSnMits0EpWPjLHVbJhak7qLKScUEO4SeNFl90XumVSkb7ivtTbJMsvErxhFhgUBhYv9LqSEGrhCSeWc2Lz18FsQ1vZLQNwbqqNJhvmHve4RxdM58QSyJdoLgVOKx2VSEnID83SVlYIZZJ3lwq9itEqVeqrH3ZMG1k4ZVyW2CxMIWmhfbN7XA9VVSgpg9E3oZzQfVQhRbXvS6UcaEsAHMpg5XFFDNQs+asau9dZPNM2DOpzYq1jNlItWE/OM6nI075fhtAHjhbA6ciRMsxNGPshvZQWskmjVQaaA8C1vMzGe9CDHtQl/NfNWdvCIB5ao1YkwLcbeBL1daWsACadOLFWNZ1QOIzNLacbY2EaHMRxNYmReU93T7HwOq9oXQAOk8l0QmmzszLkgTYQwEherOL9NIFrY3R1Y8uRTnuaWTdj33CzSquQwLketcGK9ZkLtI1xrYMmASDXy8RgbvRdV2V+VFVMbB1dKccxJlqB5BLx/bYr5WADbwGAKwlvaC+TxuP1ZraVH2ppOX4qgGfNxBo3G2kZNnDb0D2kHI76nFRCdbG51nmJ59pv1SFnLbmehJFqQX/1PbT9qQ9SPDELgBNG4rwTBx5Gq2w5gN1AbVnH5aJWACsPM2lvlk3fDjcbNx+41gMvqpihMogAQaWMsJHSSBv3IL2uEM+6zLQwgb7rdz0y2+aNAy+77jXVSHwAtVvoQFsIYKRGU/+iejNbVQoINXxXFjfrJkRJ5BjXlVIIJ2GkRdlh9dwDBO10SEy2KHu/ahz7UR0xgLvd7W5dp4pxTASAldSxg6VSynoikb1GBcdI2OL+5lTyTFIvO7WxeqFpCYe5y8VWAzjxWO1nxHvV+6rZDNhsQGVw+hixHTl9QvO2lZ00GwmAa2P3g1I7KgVj4oA7//zz94oW6ufmkXb5LADf9a53HSuB81kgkTThuCSfRoHSUzUOvPvd795Npcj/KaRfFtXphHLcVWK1rXwH2iIAVxDaXAr3qZn3v//9u5EqQH300UePHvCAB9yhdeisOax9faHb2UjLKCesjjq9mUhfkrBmRdWG4vMwB6RdjLWaNFrGZxW7i6srnXMsiRPWwjObHGPRcwqTkflmDZadkUb7sCYciEMq5RYDuG72kM3NztVYTCtQEnk/iQ6hPidWpVrQvygAt43AOelOPvnkTo2VWLIIdVHrIRJ4khMr84HVGPc1h1c4glm257MMaVh/Myq0VMohkWOLAVyrZmbZNPtJA8xolXHVSLWlzjI8olRY0hcTwYwWVTjOiUUFnqRCY0iSJTiM+saLarInXTWtXZdJVethtzsnCSaDCr3FAK43dRav8n5Kv8Z1pZylsftBNmtIYz5AE/uUvMCRdBAPb66fCj3JiZU1FW/W16lvwLdsMOZJSvqWTTk2xxnNSBw4KvTgxNpCAM+zafdrl/WlUlZahgodgAodAa9+xqqCdKCoIJz3N2v4i5nB+RYbuAVAstyoqmLGfR05AJgKPevQ8EWRvGwaBEfWkEp5CAB8EEoq5byN3RdBSbYQnjGk7CBF9S3oMQXDvsaFYRJGqk3tWqoq9CooGhSmg6E4t2oDD+GkAcB32PDTGrsD7qLjwIj0U0FlrlOGedWNuh8StzUlgFpOfU7++DjTAoDZwJxFYR712FWFXjbVrLR05JBkkmMPbVsHAPfStNEqtbH7IiRwgBTnlUyw9H+qm3meYdbZ3KSWBvAmIJLq9TMVILVQRPGHkI0Wrm3M2QQEYaRVeYJjColJywPHNCP9Z+mzPdAhBDBnSTvgu1K80AdVoVsbVRhM8gkJOCmM1W7waAFVS5jl2H0MAVjEgUnq2gwwJExHS1hF4/J6jkobTUzgQKxx4MMK4Pb+LaIv2s4AOE6sSSp0WursV4VuwUOiHXvssV0jPupzLZWc9TdCOjhqbMBj+7rXva5zXnGG2fwqjNpEiPo7/pa6qeY41V71fQ3W9zu+9CDEI86BRY1eZTP9TaJxDHcAcEOzzEZiA2fQFpvMM2BQ7/Lc9/Cez3qQYlFFAZb6DHScV2lnk8/mkd+ur/kdWVLUZQ445y8RAxCp4VRz8VMAFkoiRTEoICfZaBGuwcPvSOSQAcZh5L0cx3HDsNpzqJ+p65Bznve5/j7AYhrOCYDVQ2ftxh3/IMeddv8WeY3z7Bn3x3X7333aBka2FgBnwHdU6DaHWjEDVddnSGOSQYdIKY96Nnn2Wt8j7yVF0rPvqq5SKcT+NXAr/a39Xr6b385xPIR8gN5wNw+1zEBqJvHpp58+OuaYY7q2Q1JMzRw2TFwfMZ9TaqmfmHY9bF7XQlKbZHHrrbd210fLcI4YQp6dS84v51XP12/kWnPOWZ9Zn3MMfzsmhuqc5LhL88xvO5ZHPtsef9px2vOr6z3p/tX7Me+1tceeZ8/UvcPUqlJ4E/tTr8ULTYpp7D5JApOWm/YwJ3iezytKqP9jSrMc4853vvNMnx0ey31gwNNU7EMpgWMDVydWLWBXCRWu75G/6/O0Rz6Ho0qM0KxdDNhkxXG/geuSkhiMKiXSyGuGTuemqhyiQVRJEs4dbk6yKgIRzw3o/X3f+9536qaRSy3MZWic8yC5qeJSPmkmkdDtmrR/T3u0a8WBJZHjta99bTdVcNq6znqs9vxmvYfzHmfS8WY9Vn3mkc/4101uNL+2RA6bvM2FXgaX0+PZnCXDoXl9079rHLFPgYaji437xCc+sZOkZ599dlesMGuxu+9SuftAStUGcMxANxPDriWBnHPOOZ0HWjNBFV+YjuPynlNrFV4sS41j+1EZ1+FA23SKcDn0EnhSIkcd1rxIMnwNgBUOYBppWNdyVQUI3idB1cYaIg1sbNxWWxh3I3UY4SA788wz96SpGLE6YU40jQK9rpMnO1gCCACrwZWLLImCZxr4SQITIkh/5x/wm8mMqWhGwKm2iEb7uX7My3kMLXX66dDbwKEAuNrASaQ4KJer3xfSseklRygg4IxCbXxYAoZhZgAETCeddFL3PQ3qZCiF4iFukz54MIGUmux7HGaKJBwz3TeippKmgO1zup4oatAVUwZWPocJUJOpzDK9lB3ydvMbmFDPJAigMRjtffXz8rlxm2zauvouBsY0GHKht4fWlsgBwLUn1jK45BVXXNGFowDJ8djWLZMg6di0anh5kIFCnXCGtlXq0xBki+la4ntnnXVWB0KF+r7P5iZ5gdCxQ2xMwPOdW265pWNkwCkchUh7sWbnzaPqPeo7+1y4yuvCYF5j0+vaEUBjPn6Td7ses6W288i73vWuLqbN6y6EMtAA4LEUJ9YyAByywdOsnSRmQ6KAV8xPOMjr7D5zkXyeWjtu41fwS/6/+eab90AjdKTxgWfXR7L2ednFFqm+JN3Tnva07vtsZWo7JoMh9BEVl5TkzCKhSXMg1Tcrtr349IUXXrjnwRbekqONifQ10KsVZd7HLGgggwo9AHgiTesLvV+qqjHbkarK8YNZGMwWIuH0spa0QKLJPeYt5oUdRzVTDJDEfYEEiJUoklyACwDjzi1dKdmZgKdtDtXX75DipC4GAKDtsVtyDZxONAiSGEhJaGD2+8wFnmwOMb8vs+3cc8/tmikkA6xSLWYYADwAeCKlJ9aiJXCkI2eMTas0j+1IZQ0BMgeSjU7a+RwV1Hcqxc5tVU1dK3TixByEd4QaMKRZ0z59xncAOIX/JJ/c7/vc5z6dFMcMojHUJJdJnlDXRdNwrVRuNjTbHshJZ5oI2zyxZv3NeL+Tj+1exInGpp+3L9hAhwDAbV/oRUrgAM3zYx7zmC4MI42xSl+qMWeVTQ0gNrPeWEJN46iChloMuCY12vjUWfZ8dXRNu34SmJeZCp04YxgDb7PfBmIStarTtan+NGIeACKmQqugbrOvXTeGJqQmiyx2MzDzaosBizO3jKza/ouc1jjQlgKYBCYlFhECaScBkoo2pWOo+knHDfmt1GYOJlLKZwA9I1L7zrV6m4FVhhQpSS3nIQayOnJmlhZEAOycACbljPmNt73tbXuSmFONloJpzEN9YTiNAzjVnC9veTQHfgJrctppp+2BWVdNHvSWqdXyyDyGnlmHDMCh5EIvKoZZwSwGe+KJJ3YbkHR0DJvN37y3wjQ26mWXXXZE1VAbGqpqs41uY7OVOXuouGzVFjSzxLCdI2noNxQztOV6QEzFdR1ADOhpeTtrzXLA1kfsbio1jzPbmcT1+zQAaraxsUkDffzjH99J79apNwD4kAK4SuBFOrGyWSVh2Hw2p3xqIR0kswpgbFzvS5OcVvOac+Ux5s0V46WSU31jnwaQs6q2kcAAw3lG9e47tmM4z6uvvroDsZTOedaqzoFyXpm31AKOJ53jimTmwRajFvrCRID5+OOP786DzS8mDuRDy9kBwL3jReelACfgBUj9qLSjUdvKI+x9jh22HckpNfGUU07ZkyhVcrYdNBB1W7xW9hNpySZtw1HzUHpiZTqhJI8KuNqil62e7iGugVpbZzvlsSgpyHsuxVNcmReceh9Hn3h6CjOkf7p3tXl9VavbtRymG+4QgEOJAx8EwK3a6vdsMOAgiXmVqc/GkpB0coptQp7WaYwBcQIJwQA9FZqqWdXm/XpofY92IAad4el17Eu9JhlWrgmYUlJZjz1JVZ5l7SrRLjAntj0GKCRlTSX10xasG9Mn9rLSTNU6fSNSaweTAbw7COC+0Sr7AUI2oy4Wum2Ic0qIIK0CapIzGVZJpRw3wymbTVYSRxLwAhnwVrV5vznbUWsxBM4pBRN915VrI+VoFWx618WjHNAfhCqwch1AS3XG+MIUfE7M27W7Xxxh1pMTTPpnKq3E3JkrrXqdYwxSeAcBfNBMrLohhEVsJDYayUZ6Uk9JzNi9sp76vtuSrCxlf1IwxVEBzW/W70bdnVcK1/GizhVo2tTOVu0UL3b+qpdoErfffvue5/ygLV/boe4AjEH09ePCbHn1RQ84tvgGSGb2edJClUFiMm0G2gDeHQRwW400L2XjsW3FT1Ud8TxzYHH4OIZNKc2RNI0TqEqXOkAbAcgDH/jATtUGMBu6Tl+sFVP7LbwAYLalWHDGslYQ9qmdydaiSWBOPOpp91Lt4v14hvN5qZqYhVhxJOk4BoHJWWf2OSeY//UFA2Dnab2ZLjLUWmaR32wTVIbOl1sGYMA4yIC03HCeWpuGVBMWkd3kmQMqucpUvnbDts++l0wl4OLUEepaZJ1yVGg2LTudOjrrdV5zzTXdudEIYudX0Pc54WY9H8+YCRublJ21J7WQFFuZT8NzkkeUSzpXMe2bbrrpCL9DmGA7g2uQ0lsEYKmHVLGDhpGocDaKkZwqfqh2KRsEQu9dd911d/hedbIgKmmcM5w4VGdSjyqZDbeI7KP8jmMI1zj/eh6TiIRUJXXcccd1WgdVNcA4aEzWObHHSVRJLhmsNu43Wy1B9RLgY3iSVFwX7YVHOwkiGFCqrVomMkjgLQNwEjkOagNfcMEF3ZwjmUYkOhXab9vgigPEMUmJfL7dNIhtd95553WbjPTgYMJgqoq6KOkbsNjsmAwtob7Xd5wKbuem0kjlFAeX2K01rNJsXgmc36cGc1aZD0yFnmRfT2IYfA8YgdAddZyXGoNNDbTkEM6wvvMcgLzhAK5x4EnDzSZttvwGdc+GoL6xw6Q62nzUU15o7wmBtMCov0HSPOpRj+o+K3mCRJP5tIyC9mr/qRaiIWQ6YTZvn5RvN3SuTSGChBDmSG00MO/9qMPcYwNPq0bqSxttzzON4qVuuic8+xhjkkNoPN5va4/bRvr7Gbi+SRSmNO78a7FM/Vz2yzSGtpHDzfooWUWIhJCwQaUkfam7NjO1Up4ybi/bqkq9tqqInac1TYBO7QPeRad3thQvNKaT4Wbzbs4nP/nJ3XlTSam842qI5yE+AB57ErRWI806mWGcVMYYRANoRhyDwlLMJwk1qaW2H/o6nyTxZZslcx1PM27gXWWmbeXZNO1vK73QNoObn+QGGwM3B2LxSWpmGy+tG8wGFZbxGzYTlVs4JE61ZY0T8bsYBxuYCdGXBDGJgYWoz1I75Wbb+FRpUn0/zCDXyQFFK6KJVKm437VoY79i9e6V65bI4l5R2XUxSWsg2WckdwVyG6/eJpq1cquNbrRRiY0DsA03qS903yaLTao0UGoju9XN9juJ+WZ4mTrgXHybtOFvTdl9jsQlETzbYAfdtLNQVGiOMp7f/WYrkeCugTSmiqsq2s88pRpCo+pSoQ86UK6mU7bxcufIw89OFnqy/qIEF198cXc9QoLPe97zjkhy2eYRp+3ea69jGsA3EsCzOrH6gCR9z42m8gKthAIgtonVuN7rXvfaA2PfgKpnPOMZ3ffFKW0SiRFxdK1is7hhPOYcWVXazPsbyLm7FrnL7FfrkHWbRXJVKZlEDusprzzrsB9m1qfytjadZ1lf9gEgk8iuQReRVEPxXNcJkvW3+x6bQH1edaE0QiOMsT1n36H5mOChPh0zs7cruMdd31qdWONU6JqoX+fT8Nomq0oMlaeT55g0Yv96T+VRBWJdJBU1PmOEiA2rM0ccSavaAG4K5sPh1pdKOesGQdbG6BZZYwDAYVRDU/M4f1IzzLm26umE7isgJ37PR2DTiyO7X3wV4t/1WjYRwNmv9XxoGAmlZR5XZWY0EoxK2i5vvT2ti6o8fL3SIuTGVb1tTFvZSdw89LjHPW6vz5XNioNjBECoXldj9MoEKtkQFlHJHNWV9KqZQqtS0RyHzS5eGrt1njhuCyjeXYPFaR9sY+ZAOpBM29Q1kYIfwDmRwqvqidWen2txP91bZpH1ue2227pyTvcOs2JH15zrvh7fm0A5H/uMs1WnlRtvvPEOn0vVWZ0tjfQxFyI1d3oSrbWt7Cxe6CyEZPmET9L4XDofKaaTpPfiFGpvKokb8JK8Fbyr5N6xC0kT0ibDs+axg9sMJpT2QBrBc96lmGMe6YQpOqc64BstoxChxqzrAPSQe8O7TioLD9K2RBqkaLpO6a5AXvfPJjm5cl0YDfCK+b/iFa/oCm6Ya7mHchCE1ezfPgJukjm90/rux1qHm02qRsqJWggdGIWNeF7TfjWT/EgzN/UFL3jB3jHqZqCOeP/5z39+l82EAVBrKhhWJX0dix3ErpN6SOLsZ3P0AT6plhx50iyTPlqvrwVzNTGo0MJR1rNVoZe5F0J9ozzjueb0tF6YNRMpHUEBGrNqe5JVs6l9LPv+1nAnu1ZhDK9+VOnkJiBtjURMMM76/VAKcWqn0/Ya1loPPEkC1xMFeBdiY5JeJE5UZxwOsFOhU8HIG+17119/fcf52LwB7zrsJscTRkoix37jwH3rRG1WdojRaU/LSee5kuNUDl43NS7PJGF/xtmySrW0PVb9nx0o9Cb8iMm47xh4QlBUbKp22/u62pqragFUj6HAJoIFMQHVpYdSaVbj+JXhRjjVIQMbA+BJceBqrNuE7FsN6Nwg2TykqNS/qMbiiu3FRfIaGkZtFmaJxBtXD7wKImncGL256vS7Raiq4dhsLdfKVKntcScRUDgnNnBN5FhXB8q+IgfMj4Yhjzzrx5ufhBzSjKMypkm7p1Z1z52zfUv9ZbZlWmJyDyJEPKupJqByzXUfM2cScWnXZa0AntTYvVaroHiO2bcWASCjgnrdrKCAMhRgk7w2Js6dRcsx1uX0cAN4oJkQ8UoeRMVrw0XmLbl2YKZ+Wqe6ri2Q831OE1qN5JhVqNCzXltfbNvrnFxsZNpY6quZEZlKcdVVV92h1/eqzhkRUrqYGminKYNHqt0kDYUhMQfkh/ett0IcWhVBN+4+rC0TS9in2sDZwHWT8cwFpGKm3OqcG8AomUN/ppYJUKV8R7yX5HWsWrYXqbIuCezYwCLsk6Z2B1GhW47Ms2+jyNJi87MfEyobxyS8pk+YEA7N5qCJHIsCQg2FVeddJVKYDYn5ADJGT+olBHXRRRd1jrA2H6Bdj7612U9ttXPFdAATUKn/AOjBFhbnlqsQTzpnrPPklKvEZPA6YVf37VoBnAWRyNHawH0ZU8IGGrQLj5DEQkFsXV5IAK5S1cVxVLlornfgEFKpavMmhBzcXJ5iEmNSQ/mDUDLSxBUxCutdN1jffeH55SxJR4660dcF4HH3qU8dZl5xcJF8JC+HFz+A8ssMnuMNrsypTV9s98h+zQeaD/W5Nv4LZWZXnRZChbbPmYk80p59n6nYXvdabeCqXvQ5seoJ8ta5UIFtiRqMf1IiaZDV8KeKUDcyzAx4ca6Al925KQ3WbArqrUybWQr656HKpcPM2LQ2i+c+UGZNUk7ISZgw0qYW2U8CN9uTqSXsxFEIyMw1zr2EoKjeNfuu/e2D2v3MloTyWrIXOVPToDBEK7Nn1VAbSKeVrxnVmQGdc9oIG7htK1vjgv4GbCogVRAXk1rmQnzHTRBTqzeMDeF1vbGEmaiNGeC1aQ3I09gdg1o0gCs4ra0wCxvMmuDmGGC7Hvmbmg3oHIKzduTYhLUcR0JQPNWEBXWU51/K6RlnnLE3D4tjc1w6634Zflu6ul/SdolNf8IJJ3T7uw7nq7RWJ1bNha4qdJrU2eg4GVsCJ804lBCbLcOu3Rxc7OUvf3mXlJDF3G+t7DIoqXY0CupenY20SBBnE4mTWxt+Aapx4o19ZCNjKuLH2zLgu+2v1Xev2ZqZHCkMSSujvaUOXLYTU6NvlMx+ATzrpI4ILXti3LGYQHF2bgyA+1ToWtbGe6fXFRtX3jN1h1NAfmgcMoLkUgjZwlSlzPmZddDYKkFbN5SbpZiBSovhVAa2CE2hrTtNzzDMLl0ycrxaKRQbWGySBN5v581NJfeA55pqndJT0YysD6cX+7OvxLOqr3le1LocNNd8rV7oNhfahYjpSc4nccVybbj0dU5IRAgmU/V8zutuTOLKmzw9L72WMZx0pVwkgFtpJFmEQ0T7IXYu8yU+gbpxeKydE9WtOnp2ccQobYTX1z5ixgCt8GSmT5ibJb7cxxzrumzC2qxNhe5zYkXly7xdC0xSJRUSseX8ry8Uaeszten6IrjasghjAR6STvigetGzQRZpr7dTK8R4rSubsIIdUaG9z8G2LSr0POvel43FhAFkmgnmRVhwgqZ4QnEMh9i4eVCHFsB9mVj+1mblwQ9+cLeQ6n5JDGEA6rNFjGeVp45zS5igL1FhkwvAbSb2r43Cxq/MZpFqdN1gJKomfypi2HqkcJhnPiuG+tKXvrRrYh8A72qDuXZvcIQSArzTaY8r9JbiCRMbZX+1eQubsD4bYwOL2VosnkNOLN5QISPlg6RCDRPxpvI0s323iVLMIEHFdaYeeNEboY95yf6yfipcHD99pWPPUbWdE9WxxoF3eSxKu07MCGsArAEyYDPVrJ2c+0Q6+n6nDmFfVCvijQJwO50wNjD1DVAlf/OUAmlK5NgmcTTI7eVssQnjad4mGy0F3DYGu6stNlg28S9YZ+vNZ2DD5r7QaITqOHeqCr3rDdf7GBRtUAEBIPNY81xjgLK64rmmIaYtcAVy3Y+rWLu1SWDqSlQSfZ04rtiFQGzRqM5UGCq1ReM55HBQy9umBm5D18LankZqH1V12qTERTGNbCrOG2spQYAHVj11iDbAHuSHqLnQu06TQEZbkjFnv9qbAMvsufLKK/e6bGiDI/mlL7a+iqy/tarQaXJuIXA0gWtSNgskMR23k7XCLpbB0hY3L3pO7rI3SjKxxFx5fFdx3LqhrK2QCS1AY7mU4LGNZYeRNDWMdNho3KgXzI+zyzB0qZoqhGiKaVjP4UVrHJfbsNUAbp1K7FfcX3yXc0XRs2C6zZVKIg8xXgC3eGzk2va1b4NuywZJ0T11ddXE9FDCJuYpOylJ9Ow6UoaHPBL4MM4rqk0e+pgYTQWQJQ5JyOHJZo6oNrJn1acTUApp6v7vaxm7NQBuQUbKSizn9cy4DWq0uK/B0V6TC5qEB2Glmt63zmqig5IwEm2CasYWXaX2kOPwK1hjNi8ASyjhGMRYMMttSaVcx94NWS9hN5qk7DWajOQiBTgZgK60E2NsiyW2DsDtBnLRvHkyq9i++gDzMvPyuXh50OzdTIlPYsGmh4hmIU4sUpATC5deZZF5iCOQ6nfppZd2G48EUeXFJqcVbEI54SZTm3Nun/Lp8GBjikwkxfvWOMX4y9IUVyaBK/B4oFPmJXfZg7qcahGbSLIBj3TbSnTb5+SkIwd7M10pV3Hcds34E6w3m9fG41STM8z7GhV6GDR2R6olh3V9MD2pmuLHHK60LKG5mn65DGfrSgCci8jJJ5tKvyCevYA3lTOcAWyMumjjOOA23fg8q/pRUdWm661SnRaDT7USTYAPAqjZd3HEDAC+I82yJuxiUrilNmlnEdrkUau+eF0JGPrUZE4TTqxUGYmLkgRe39Ubj1NzFEnRixOrnY2zTKoaDC0gnRL5JLQg4mGtqYObnFe+LdRqkQHvIrK5Vu6FNkZDriljX2pf8pqFh6jMydOtF77NkqCvfaoQjtzb2lh+HR5f6+s+qI0VF9aGCID7WrwONH5vT2vHs8x7u1IJrMia/Zu0yYzNyFBtktemkgnDOZAHBwuVr762LQ/nLvzlb9dlDYQfJKuwk9prXeWDQy3NATld5JbrJyVDa53ntW3317P96T7nXte/2wctNDbxQTWcpQC49hWqfXldkJCFTKAAmB0sRU2+KWeWDeThdWGlPPuOv3fhoSiDzemxrnNwbIkIQnkiAcnQYtKICmTth8dsD3vW+k3bp9a29sPaSAlc7bk+9Vcq4c0339xJXSqcZ3YY+5eE9iw+qWa4Pqf0a56H3/Kof8/yaH9j3uONO6Zr4KDrO7/9HG8/15jvKcVktuh6cpe73KWLvUuyoRX5nHX3/kGO13eNs1xf+/l57lvfms5zvHmOmc+7r1mz3Gev5/+85iH1clFm4VIAXD1stWl5awsoF9zPhL6BFk+84um/LbRUu4UMtDzaSBV6FoBX2vWUvUncdtXXnuOpOOKFpkJL6xTO069YTq/kDpJ4ka1jDgvV+Uh8O9Iq0wEz+0CmG+mcLK2Na6lTuQrvMo4uSaBK2762Lrt4MytAZToBi/RQqXjrADBSHvfQhz60C+cxYU477bQuBpywkoR9Zk5m8hzGnOiD3ndkv8s719etvq5FlCq7APsgTHJpEhiInaj0SA8FC8ZEKFhIHepBT37TKdcGuI997GO72Lekd2uhm6aQWh/Ql002FACnnJM05nUWowZmrUyVbLKNec1ro/MhuWM+kpmFKYo8IKmWfA01xfIgtDQAS5hXtiZNLyEUnSBOOumk0SMe8YidrjmtgAQEaaNUUznQRqXyxivocGPlIYfhrQrEl1xyyRHteStJzM+sYbFhCR5hRosawnaYCMM799xzO4kr7m/v33LLLXvvb6QNnPERNR0ypEjBe7odhHZJCifTqQ4bA+CozJWMgDH0Oa1wVwUMKZwS7S+88MIjmsvn+E960pM6r7Sme7yoyxoBc1hIaqXRKXq+6Q6aTLdF3O+FAbga41reKKfKpm25zJlnnrk3kW2XC8dpGbLNNOFDbTK7RA5NCzJmY5U+ASDWrE0PbjHM2mBQiqcWq85b1piKsNAggWfDQksp4aSRZi8sYt8ftagTrjdWmZqqonqC9W+dN0wWrJUdu0j6TOkogqGFKoh5ewFYZ4x1EEmgRzewGj5Nvc+9SK22xoFi9Gqzx23OgY6ktiiFyfSwhz2sW2d171XYbaQNLC2Ps4anuS+hQx8hM2p2fTOYZ2M4OWdeqDIsBf0AXCXcsqlvQmPs3lpEwnnF2WLjCXdwxiRHeihwmAzeOvIFkb4YZEaJxrRcxCC1hQC4raKxIalmEjX6Nq4yNt7oXaSa38qrSxMx17jesDAzJWduqOqk3PxVbLC2UTlNwZiaNMjPebB/nZ/2R0JKdSLkQJOxkHssHKd4J3OwaJ8mZdTebhsHYE4PADZUq6Ukz2s/sigutMlERbUWWtW0xIlEU1ll/a31JhE0EdSBEigf/ehHj04//fS9CXi1ZpUEVq1EW3At/BqDGj1+betexhiNNVW8E1IySyvTfRWDP2hBw9LCSHJoqYeSt/VaEpKQ3SO0pO40tGvJHPEFVCkMIJoWSJCwDiSuWCwPdKTvKteAZBVGksghvKG4Ip7w9n5ES8CMDT5LE7w6HG1QqfvBLM5/xRVX3GFaoYQZDLPtK70xAM4NNV3BbF+xX95YSQLU63YMyq4TD68eYEbESOZIB5Jq+65jjvE4lb1tXcSnoWJJyEkBRDWNBupfVxiozQFb6ezvRTC+leRCUyXo/OPAuqscvM1ckvFE0kll1FZI6Z45tVQsdaWrAvG4+1AlRfWWSwkUFxYfdu4cWnVjDvR/a1HXNn/X4fUt0Dc2E2tcnKsdur0OybPqmzpO0qn4USPKK58xK6uKs9b0yByvdkBpW/wkrMQpw6klq65+dqAjk3hqf+k2XFor9Q5KR63qgvpmxhym7v+zjoFZFXhbKTuNdJxQrcSpRZviz0g67FCxdCRV07CCdhmM7qitWpkduanbRtmE4peksKYL/BvJKqqfGWi1NAB4oKkUH4VEjvPOO69ryC+sZMok/8agRg8AHmhLQMz2JYXNsDKcTWE6GtToAcBz07rVtpqWuKym7HUsac3yqf6D+tza2W3q5Kzn2X6v/i2bSIxffjQAi2eOc9C0PpB5nJbtdQ205QBub2IdW7EOaieyL4OSqdN2+mzB1YKudZ5UcM+yzvXaWi+13GjliPp5q1bimW7B23fOGS0zKwNpmdBAWwzguilajrzroagKxDCOgKkd17EoxtTHqCr4tQCmSmeEyLgG5/U852F4Q9nijgF42g1d1vCoaUylbtR1ZFLNkxxzkLBdzZ7zt5zoN77xjV14qWUyNb1yEfdj2ydSDgAeHSldJD1o9SKsYRRIVSErh++zu2r8c1z/6nHfa9+X56wYX/FGfb+qufXzdWh0Kzn7zq/mG/tfLjW19dWvfnVXu5vvA5PikFQZ1WMromCrVlW2SsU2eSP/KydU/pa+WZPA5HMpXGlVfNMfNInXC7m9j60N3x6Hk0zjgZrR1t679vt9/oK+9Z107HHDvQcAH5ALI3NYJeK/5CUv6TYyh8q1117b27KmzTcdJ7HahPx2Q+R/x2DzhYDI8dOwTLM+bWj6zqOPCdTX+4BRP6+cTzM8DfIU2VdgSawQ2km5XwWQrpPyl9vf62M0laRPyoGu85vGkZ7S+j61vx0AK5gQO+67rklAftazntXl0U+bTjnJhGrXtd0DeV9FWIbN5Z5tQ2hsKwCchSTtFJnr7FdviHpb6Yj5LIlYa14BS1eE3EibXwPzNC9P4wGfEddEfiO9oFJDK+3x4Q9/eHf8lN75bZvU+0r0NK/TcdDvaBvq/bqJbBTjPKukqMzD52kVSYT3vmKIG264oetkCVj12rJx9d7S7aGSa1RAkvaljqMQwev5fa/RJJLK6bqA1uuerU3Oz3mQ5m0xg1xujfKQXOnaQ8txtFCSflnvpeNgRpWJtUC13rpn5nXfcY8QRllrav2Oebx+h1rvPN2X3D8ahQaDWS9ZZDqi+N81KpU0ahVzzFpsA22VE+v888/vQNISVUuFj6JpADj11FOPADlJku6PQh66AkrMP+uss0a33377ERvx8ssv78q9rrvuuq5rSDaeTav44Jhjjun6eZGINr5iBGqeza5NkPd1X9D7WSsa51yn/SmlNEqmMqBsKpvI8TEkj7e85S3d665FQzSF4F6PxK+SVqmfSifMIaQTiOtAQE8KPv3pT+9mUWF4vMnIs7VQZmjkjd7Vrte8qnyG5mHd1LGS6rSfXJe0ShKYSfPUpz61Y2KuJcxRJ8asI7K+yuyMcHF+Cjz66mJbAIs907bY3ldffXX3u6ZZun7gdl7aE3GwuQfWSidQpHiE+REyjNs1AznNyn3U/sjaMFUWMfpzAHAhUgQ43LzKybM5FcbbQG6kz7397W/fe1/hvDau4bzhzCSA7iDhuMAMJIDj93WoAMrk/KrC0e8rRIXGtdOKRnN0jCGEwx9//PEduBBwUScxnApg5LowiACGOkxlJtFybOdSqdqygOL7UVVJPhs0IR7vV7XbRrXRc57WTMljmguQYPp4BwDWIFLbOWEWkbTW1vrTPJwLJql8NL2PMcK0kfHa2WefvdcbXL34TTfd1HvPDWCjQYR8jqmgvtxxMA6gRSSsxgPs7WgcmvJFM3vVq16191lkf2CKJgUizQ0woT7/wADgBRAJpzVnJrtVW8bfgGGT46ZuZKplEPXO6MwQ9ZYUsCE0nQ9I9EK2sUOK722g2Ne4e7ppIoBQ45vuIiR4BTAisaI12OiXXXbZ3gapYRfHtWEr+e0wHs/+n0Q2qeYBSHgHcGzQah96nQZgveJ4AkTq+Tvf+c69z3F+6SZB7axMlFYBJAobAm7XTeJV4qcgpRFJSaohTIJd616R0qSiY4cpV1XapD/rn/O3jiRviCPTb+eeYiL1vsvXxmgwL+tHyoZoMTS1MCz3EGOhVU3yDQwA3ieRsjhmVLMqgUhQEoQ6RQIDMBUpRFWL2orT6oZgc5FANk82og0dgOUmA4FaXST3twKYBCb1AmASGGArsdtJTpufOp3PVgZkg9mokYghEiFNwB3bhmupqp7yk21Y16PLBkdfmIUNTqWkgpq44LpyPN/TnaO2/fE35uY9ZDQOsAArZug4ec9aBsDZ9CZRcG4hmkCmUGCa1owz0nl49tuV8huks3XJOt144417Y0rQG97whi43G7nv+o9VzYsZYy/QHMwoqgCmFWFi7iF605ve1P0WAA8SeElkM7PLWtIkniqMm3JkULMCYKofNTc2MCYQNRMwgSvOLDYjgGYDATCnVRwnmEdVoVsJTAWPyhayeWxC6pwNoqi/ta/8zwH1jGc844jvYi7GUiISy4ZrqdafIgyIHepYaQUbkNW1Y3uyKSOBSS8mRQtg64lBuM5q11pHqnd+uzI2Jop1zVQHa6jFEiIJW1NgHAEwZhsgAbBrqwCO95uW5JwqgJ2vY+feRDtBNDmaQFToN7/5zUeo2NuSvrlVcWB2jpvAEQN0JC8J5yZlEBeOCjA2CklEcpHO2XzUJM4RG5Nap2NgbFiqYVWhqZvA77gIUDEKDdkdx4OaiXsjv0MycabxhGbj2TyylqIO15hmPsOuI0EMgmMukF4kV45N8kXVbKlKC+foWNapOoUwLb9vTdiopCltAYOL5K6AN12Dxz+eWo4pUp2N7jqZM8oJXQMHESeic7euNBESntfaOWA8HGSIJuLYnGV+C/PALPq80Jrv0QwCJAyO8yvEMaY+OcyYtMWY7A3XCPzp4cVkcq9cP8bM1HEvI4F55l2vCACGvS1ZYFvlhUY2hQ1D0vHYGsTlZkTNRdQjr9kkNiXbFodFYn2+y55y0wCcWub3cXQgjm1KItlEJK3/qVdRF4UbvCZ8g+sn5qmJO/WR/ZVzBk4bvo0Rt5LY71Bx2YWmJURFRaRZlT7jyLkCpmvJMeLkYiNTozEc9r114FSyptbA5s7neaHZmwnVOHe/63qBWz8v37EmmIbzxRD95jOf+cw9s8Rxqc1J5EC8zj7vXPyG8+lLwxS/Fj4LI6KFMIXyWQ46UhoxETAo6//iF7+4O4862sd52jc0FKCmoWEINfmFlkaTyKSMQQIvkFoOTTWl/uDibirQUIGjErW50u1rbRpke4yamtm2nmnjsG3DsnZwG5sxvaH7jtdKnkiFep77SSfsSxBpG621hRC1BUxfGKW+lmuuv1/Xps2D7usRNumaWkdSTfhoW/5gCsyAmE6xZVuq119z6+v7ffd0APABqE2E7yOSQryUFOxr35MbNu77s3DbvoZl7W+0r9sQVMjavaIvI2oc+BbB+PqqlyZdb3vsdt1nPa8WgDWds9JBgFIBzMmXGHkF/SSv8rZXOm1dPXANHfX1depL06ue2nYzt4yhr9Jp2nnU32lrdb0uFDNuk/b1DOu7znk39bgSwzb/uZ2m2AK1zRVvq8Lq5/oKSmrud3uN0zSKtua5nVPc5kPzHWCYbe5z+zvjcqijfSQzb5DAKwL0LIDb7+/NylDajdc28552vHVm/YxjgJPOq73GtqBk0udnvVfjjjHtPvW9N80c2O/9HwC843QYapUHGgA80EADDQAeaKABwAMNNNAA4IEGGmjZ9P8BW8sExnIgahkAAAAASUVORK5CYII=)
Question 9.When does a production function satisfy constant returns to scale?
Answer:Constant returns to scale means when increase in total output is proportional to increase in the quantities of inputs i.e there is equal increase in output and input.
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)
Here, IQ1, IQ2 and IQ3 represent the total output of 1000 units, 2000 units and 3000 units respectively.
As we can see EE1 = E1E2 = E2E3, so it is constant returns to scale.
Therefore, constant returns to scale operate when total output increases exactly in the same proportion as an increase in the quantity of factor inputs.
Question 10.When does a production function satisfy increasing returns to scale?
Answer:When the total output increases in a larger proportion than the proportionate increase in the factor input, it is called increasing returns to scale.
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)
Here, IQ1, IQ2 and IQ3 represent the total output of 1000 units, 2000 units and 3000 units respectively.
As we can see EE1 > E1E2 > E2E3, so it is increasing returns to scale.
Question 11.When does a production function satisfy decreasing returns to scale?
Answer:Diminishing or decreasing returns to scale where the increase in output is more than proportionate increase in quantities of factor inputs it is called diminishing returns to scale.
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)
Here, IQ1, IQ2 and IQ3 represent the total output of 1000 units, 2000 units and 3000 units respectively.
As we can see EE1 < E1E2 < E2E3, so it is decreasing returns to scale.
Question 12.Briefly explain the concept of the cost function.
Answer:Cost function expresses the relationship between cost and its determinants. There are several factors that influence the cost which includes size of plant, price of input, level of output, technology, etc when their relationship is established with cost it is called cost function.
The cost function can be formulated for short run as well as for long run but these two are interrelated. The cost function can be linear or nonlinear depending upon the nature and behaviour of cost.
The cost function depicts the least cost combination of inputs associated with different level of inputs. Therefore, it depicts the output-cost relationship.
Question 13.What are the total fixed cost, total variable cost and total cost of a firm? How are they related?
Answer:a) Total fixed cost refers to the cost which remains constant irrespective to the level of output, the total fixed cost will never change. For example, suppose Mr X hired a shop at a dent of rupees 500 per month for selling grocery, during first month he keeps a shop closed even then he will have to pay the rent so rent is fixed cost.
Let’s understand it with help of following cost schedule and graph
Cost Schedule
![](data:image/png;base64,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)
Graph
![](data:image/png;base64,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)
b) Total variable cost is the cost of the variable inputs employed by the firm which is directly proportional to the level of change in the output. It becomes zero when the level of output is zero, increases with output, decreases with output.
Let’s understand it with help of following cost schedule and graph
Cost Schedule
![](data:image/png;base64,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)
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)
c) Total cost is the sum of total fixed cost and total variable cost. At zero level of output total cost will be just the fixed cost.
Let’s understand it with help of following cost schedule and graph
Cost Schedule
![](data:image/png;base64,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)
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)
Question 14.What are the average fixed cost, average variable cost and average cost of a firm? How are they related?
Answer:Average fixed cost is per unit cost on fixed factors, it decreases with increase in output.
Average fixed cost = Total Fixed Cost / No. of Units Produced
Cost Schedule
![](data:image/png;base64,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)
Graph
![](data:image/png;base64,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)
Average variable cost is per unit cost of variable factors it remains constant.
Average variable cost = Total Variable Cost / No. of Units Produced
Cost Schedule
![](data:image/png;base64,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)
Graph
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)
Average total cost means total cost per unit of output it is a u shaped curve like average variable cost. The average fixed cost is represented by a rectangular hyperbola
Average total cost = Total Cost / No. of Units Produced
Cost Schedule
![](data:image/png;base64,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)
Graph
![](data:image/png;base64,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)
Relationship between Average Fixed Cost, Average Variable Cost, and Average Cost -
• Average fixed cost curve is rectangular hyperbola.
• It falls continuously to the right but will never touch the x-axis because average fixed cost can never be zero.
• Average variable cost and average total cost or average cost curve is U shaped.
• Average cost curve lies above average variable cost curve and as output increases the vertical difference between two curves will decrease but they will never intersect.
Question 15.Can there be some fixed cost in the long run? If not, why?
Answer:In long run all the cost are variable cost because the firm has sufficient time to change the factors of input. So there is no fixed cost in long run therefore in long run total cost will be equal to total variable cost.
Question 16.What does the average fixed cost curve look like? Why does it look so?
Answer:Average fixed cost curve looks like a rectangular hyperbola. The average fixed cost is total fixed cost divided by the output. As we know that total fixed cost remains same so as the output will increase the average fixed cost will decrease.
At low level of output, that is something near 0 the average fixed cost will be very high as compared to the average fixed cost at maximum level of output. However it never become zero because fixed cost is never 0, so it is like a rectangular hyperbola and never intersects the x axis.
The following schedule and graph will help to understand
![](data:image/png;base64,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)
TFC – Total Fixed Cost
AFC – Average Fixed Cost = Total Fixed Cost / output
Question 17.What do the short run marginal cost, average variable cost and short run average cost curves look like?
Answer:The short run marginal cost (SMC), average variable cost (AVC) and short run average cost (SAC) curves are all u shaped.
The reason behind it is the law of variable proportion, which states that in initial stages of production in short run the average and marginal cost fall.
Subsequently with constant returns to labour the cost curve become constant and reach their minimum point, which represents the optimum combination of capital and Labour. Beyond this with every additional unit of labour will increase the cost and as the marginal product of labour starts falling the cost curve starts rising due to decrease in returns to labour.
Let's understand it with help of graph –
Cost Schedule
![](data:image/png;base64,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)
GRAPH
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jn8oZ1GzM5QYDL9J2gaHIZVLFwo/vQXSNn3jFccr9cXl2+40i4dzJfDAS4TD8GeH65lSoWQaQLZoy+Y3TznqK4fvm7XZ/XnorgZmaNnACX6UfOzI93UMUiizqmLG+84bufix87dT6y+5k7bAJcph82Kr9npIpF9gR069Jp0UMTenZLxm0NX1/AlOVVy8EFkZXF3O0S4DJ9PiBhEqCKhQnqu2wjBvZQU5Z7DpzBIrKIi+ANoQhwmX4oQiZ8HnDuLTZkxa6rVseQQU6MxEftHHpLFYvmaZh0U/8n/3yM3Llx57H/eo8/F48G4/Xu4TJ9J2nqWhY2vsdJHWVlZTiWSGzEfvfY9V7ZC/3CcUXYPhrShg305dAPnKMWoHTIz71eow8yps9eraiV+wvuHTNz8rDoy+KdFgL/snbHlpZfrQ5J6/7Cwildkvm31oXnA8foOL5vO86xxiGw4gxOhsTpt2vWrJEzISURm+Pj6A/ZK18dF4lWWHV1dcBhRlYifD6ifz6wS/LdN98g9xe9vff/9p2IvizeeY0Al+lr8iw4LmHwS5WJ9hdaYWhn4aButLOUyzjMG8fgtn6niopmzZolLbJ2JAyZqWIxPTNPPTRh/Mi+UgRG+r88di6m4nx/M5fp6/MIoN3kuDGqzNdeew3dSZQv5w3J4BcuyBbUTVJwXGT74qXMC6tHiRad3GA/Sdd61C66rGGegaTt6SFRhA2DODiUt/5MI+4dObDns49P6pHSPIPJKwoCT720fc+B07hx7PC+z82fFEUJvMUTBNBzRCdRmQpFwwFs8hY9zccee2zjxo04SRJdS1GYWHuUKBTihXE1FLR48WKlmlIlDnzDAW4y6obj1D1B0FkjB/RJUTtcf1V/jlOWUePlMv2o0XnrRggTxEQd0Q3psA7qQ8LQqUSKjI6hOQaNUyP6uNc+uh+6R4kGnoy9oTi08TZv3qyQiTVSGVphkMwAjfMW3KitHTeir1p7se2LE4/+svLd7YfOnucePhEQ5TL9CGB5PKvqToofIh2YspS30BNojvQ35ZJmmqy0QE7ValMZQvQopTkH1ZQb1KzBd/cnJamOJFqJENHrdSohcMjpcf7tmX/w8uDay22mKdM6nk7rdLJ/p1MdO/AgpfbQXe3Q8ZML4883pSAToI3twpUrznxR0D0Kc5DHmfpcKiVWFYOC4qhwZXyYQ2MmjYtZA4fl5n/YGrhDf3KnpLvGDbpr3ED8cynKulf7qzf3lH10CFb2TEn+9cIp6KTrbjHt04lA6B6l1Vo0zUaMGGFNQfNP9W+RPmSI8/MaOuEKYcsTM0b/9mc5P5o+Cn1MlfXylaY/fn50+SufzV7xwfO/3739iwYPeZQAU7lMPwGQza4i9Bwl+olYxIGhsfYnC2TIzd5lDYrP1LaY1dlDDd9u2lVfufuYfbf+fr26StNMbepv9kPWjneY4X1y1ZZzjZeRB+dOqQP0fAuEjkdBILSKWddSYDpSxvIxcYnBfmiWmjHFwH9paWmYFvhBxRSKmqNnW+Ss/uCJbwL4DO7XTTqbo4b2DhOdYdm4TN+wgLriTmgVi4dZvlIxBRA/Hd+06xjkDA2QAKrpg3pK6wwrzuIBXM8ysUz/N6X7xbZ/fuTW27PS9LSTVmlOgCrmQoA+rTkpnU37iUqjh/UROZODlwy+sEz/p6u3ioOzc9Pxcy6DnaVrcSVAFYsr3hCFb913XDqbOCYuIOvNN6a2yNmg1J5d3DQxbnVzmX7c0PquYKqY+yG/crVp0+76TbuPVe6qt1vz/VH9pXXWvas5P2yybgfy/BN3ZA1u3T7X/WDQAg8SoIppFLRvL1xukbP6bfuDbI+RM765aQY569RyOKZ3LyzT/6eXPxH7sSrl/jvbrN3xrl+03C0CVDG3yLdX76lzF9E0g5x99mXgASVdO3fKQdNs/EB1jomODlzfJuym/+NVWw43fIssU8YM+Me5E71lP63VkABVTMOgfGfS0VPnpXW27+CZAEN7d++cg6bZ+IG3ZPTT0Af8jBTnEjScvXCy5f/mfy0vDhz/RgYBuUxfw6h51CSqmDcCh90yRM5qbVuY4fc6La2zQWOH90mkM2hVnbymTa2C1fy2UQQLn7ZvzFMPjr974uBEGsy6TCVAFfNYZPcf+lqmAo6cDDxEblj/HtLZzLh21lzsvqFve6091ShSpZpX9mUi4VeHI4rVWevh38WcJBCUAFXMqw8GzvSV1hkaRAE+ZA7uJZ3NoWndQ7p3/sJla48voAN49WrrdiYhywnIgBnVtN5d03p1xc+t5IX1bcdr+25GWizzk4CdAFXM808Ffl4uUwHftPwa0XrhR+mY08weNyCpQ1Jz78/SAVRvMTEaHYKOHZOUNjWrlUWq8LabQetCouPDuxJGgCqWMNRxr0iaZlA07KLhVGWYQ/hOoVrbUykiWKYux3UKHctJGAGqWMJQJ6giDKtX7mpumslhaCEvnJN2rceX0tz7s3QA8ZanqIUEyAyuE6CKuR6CeBmAtQ74MQCaZlh01qd7l4Aen3rbq1vneFnAckkgIQSoYgnBzEpIgATiRiCyvV7jZgYLJgESIIEoCVDFogTH20iABDQhQBXTJBA0gwRIIEoCVLEowfE2EiABTQhQxTQJBM0gARKIkgBVLEpwvI0ESEATAoEqhsON5CRxvLCbiBOPAj7Fid+SIpcmXtEMEiAB/xBoo2IrV66E53JKblVVlbxVF97m5eWpT3EquHyUmZlpPVjXP+zoKQmQgA4E2qhYeXn50qVLxSycpIu37Zg4bNgwHRygDSRAAj4n0GbtPjqMJSUlOTk5gIKmFl4HHJSLbmZZWRk+VcfrokeZm5srEAsKCto5Gxw5KyoqfI6b7pNAIgnguylfZ8Mv1RnEC/QNITSSAp3Ccd/WT/Fa9AvpeBHwkfrUnm5PWb58eTjZmIcESIAEQhK47hxlXV1dRkaGVcLREIPGzZkzBw20wsLChQsXBgg82mK4y3DVp3skQAKaEWijYhi8X7ZsmVhYXFw8depUq7UY79+8ebOk1NbW2h0pKirKzs7WzEGaQwIkYDqBgNYaOpXiMRpW8hGaXTILWV1drWCoeUlkU4nobIZs+0kG9ijDBMVsJEACIQlwZx7T/0zRPxIwnQDX7pseYfpHAqYToIqZHmH6RwKmE6CKmR5h+kcCphOgipkeYfpHAqYToIqZHmH6RwKmE6CKmR5h+kcCphOgipkeYfpHAqYToIqZHmH6RwKmE6CKmR5h+kcCphOgipkeYfpHAqYToIqZHmH6RwKmE6CKmR5h+kcCphOgipkeYfpHAqYToIqZHmH6RwKmE6CKmR5h+kcCphOgipkeYfpHAqYToIqZHmH6RwKmE6CKmR5h+kcCphOgipkeYfpHAqYToIqZHmH6RwKmEwhLxZKuXStXrgwAUlNT086nptOjfyRAAu4TCK1iOEwXh7nJSW6LFy+urKy0Wo2zdeUAN/kUoua+T7SABEjATwRCq1hZWdmiRYvABEeF5+fnq4N1g1IKOE7cTyTpKwmQgDsEQpxHibaVHKAr1qHllZ6eLqKmLvQo5TWaY+2oGBpxFRUVkjMlJaWxsdEdj1krCfiGwMiRI+fNm2e+u+2fuyvngas8OAlcepfqEmGSbGiphTzFV9uzwXU7rlw3ezQ80Z2IQn7dNEQU0uYoMoTuUVqFHE2zESNGWFNyc3NRK5pg0l5bt26d+cJPD0mABHQiEELFIE/oUcrUJCQMY2STJ09W9stYvhrvr6qq0sk12kICJOALAqHbYhs2bMDkIwa/IGeYjpSRL0xcYowMr5GC5pgstsjLy5szZ0442HBLONkSmUc3k3SzB7HQzSTd7CGiRH5hrXWFGN13yyzWSwIkQAJhEgjdFguzIGYjARIgAVcIUMVcwc5KSYAEHCNAFXMMJQsiARJwhQBVzBXsrJQESMAxAlQxx1CyIBIgAVcIUMVcwc5KSYAEHCNAFXMMJQsiARJwhQBVzBXsrJQESMAxAlqrGH7bhJ8EBGzNGHRTRntiPPZuhCVSLH66oCKAn46qutT2avbEoNliD6Oq2voL1qysLEnH7ytUFfbEoNliNwkloF7Urn6aJnGUq53EoNlitMdaptp8BWUigvZQ2hODZovRJN7uPIEofkGemFuweQY2yQjYRQMpastGsMCOGjDGnhg0W+xmq0075MdYsjckzMD/eA3DZBcje2LQbLHbgxqFAP6XqnGBGC55DdvETnti0Gyxm4QSUCNAwR6xTcyQ1/gIr6+XGDRbjCZZyaii5NGSt7BTnih7YtBsMdrD2+NB4Ltdd+JReuxlBqiY+g6gZCVV9sSg2WI3RpWgrMLXUkmGkip74vPPP2/P5qA9IhzqaymqahUvfFcDEu0pTtkj8JWKQUesWzaJVNkTX3jhBXu22E0KqmKoSCmskip7YtBssZvEEhwnoHWPMqDlGbAdtvwu3Z548uRJ643x2H62qKgoOzsbtdTV1am6VEX2xMOHD9uzOdKulm7R0qVLS0tLpUARU7mwpeX1EoNmi90k2cHcWs7Bgwetb6FueGtPPH78uD1b7PYIkID+tXXzFbXTlD0xaDZHTGIhzhLwkoo563nUpeGLij/gOTk5UZfg4I3yZ62kpARfVNcPPcAgFGwIc18TByG0UxTCpP7y428P979LDPYE1+JhFbNv2Qh2SBwyZIgVYtBsUVPGAD8KDNizW0oTEQlo+kliv379VI1Bs0Vtj9yI7yraONYWn6TX1taq5piqwp4YNFsUJuFMBuxAJw0ftICwc45dNZAeECBUhMTU1FRrjUGzRWGS9RZ06q3NZPkIKfbWuj0xaLYY7eHtjhFwvI/qbIEB42JqLNY6Xm5PDJotdsNktsFajtqw2zo8bE8Mms0Re6QQKw2rkXhK1ASIdchfhqUCUmK3x1qCGhcT29TovnUCxJoYNJuzJikz4Lh9osaeGDSbsyaxNEcI6Du6j16bVarlibeO5sjsW9DEoNli5KWOPhGr1Jyg1U5VhT0xaLYYTbKOQKnhapSpuFkPSbAnBs0Wo0nqduscpdVONclgTwyaLUZ7oETKTfXAoEwZnsNl/bNkTwyaLUaTeLvjBLhLomOtWhZEAiTgCgEPj4u5wouVkgAJ6EaAKqZbRGgPCZBAZASoYpHxYm4SIAHdCFDFdIsI7SEBEoiMAFUsMl7MTQIkoBsBqphuEaE9JEACkRGgikXGi7lJgAR0I0AV0y0itIcESCAyAlSxyHgxNwmQgG4EqGK6RYT2kAAJREaAKhYZL+YmARLQjcD/A3XhBKQJ3ezpAAAAAElFTkSuQmCC)
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)
![](data:image/png;base64,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)
Question 18.Why does the SMC curve cut the AVC curve at the minimum point of the AVC curve?
Answer:The SMC curve always intersects the AVC curve at its minimum, because at the minimum point of AVC the SMC is below AVC.
Both SMC and AVC fall but SMC Falls at a faster rate than AVC. Say the minimum point is K where AVC is equal to SMC beyond this point the AVC and SMC both rises but SMC Rises at a faster rate and is above AVC therefore the only point where SMC and AVC are equal is where is SMC intersects AC that is the minimum point K
Let's understand it with help of graph –
Cost Schedule
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPoAAAM8CAYAAAB+tb0JAAAACXBIWXMAAAsTAAALEwEAmpwYAAAgAElEQVR4Xu2aCbg2RXmm+QcEBEQCURERFJdMEEVBMyqMYhLjblziEsUlLolGY4zOBLdxiTouwRiNo2SU5I/iGhGDUXBEL1Dc2QQEQZCfRXBBVERBRM48z0+3lu/p7/vqnNP9nT7vueu63vN1VVdX1Xu//XRXVZ8ttiBBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEINAS2FCBYqGiDlUgAIE1TgChLz+AGdll9ClGOJuPC/8lekgeAhDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEQGEvggJBRDIRwCh54spHkFgEYG+hX439XC47DzZz2Q/lZ0r+7+yOy/qfekFL9Alr5Q9f+mXruiKRzX9uu+dVtTSb158krILlXb2hHq3L5r02Mr2nlWc+20dv1z2FdmPZL+QXSY7RvbXsl1lfSbfC0fKNsl+LvuO7BTZO2Tm2abTdBAZ/LfifHl4aEfdl4W68/bT3W8ru6IZ2x8X4/FYom/OPyOMuWTwgeLc1k3dT+n3+zLH7Ieyz8teLdunqLviQw+sJr1IlX4pc/2XynzT7Sz7u6bMg3yebCXpkqatTStpZBnXHtH0a99us4TrZ7Gz0J8ss1hthxX9/ENR/kwdnyi7qcwPz/bm+T0dx7RBBefLDixO+Pi7Ml/nm2R/2TayvWRvb8q/pd+aNMsnt/GHMsf7azIL3n3dQvZ02VWyTbIy/YkyrU/+fW847+z2Mt/kbb3rOur05WeNj2X3jmE7ro93jMvM2/N/23HeRf8qKx9at1S+fRF8W8cPl20n8wP5ubKrZW5zD9msVOVPTaXHN526bvlEagfwseb89fp9yKxRTTmfUegWRZte33AyxzLoD1XeQnfyDdHeNO9sysqfP1Lm60WBb4RWIH4r+GER07+rYFMsnJCvuR+O17Wu5xsypmerYFMotND9tm/fitfq2Dd6mZ6jjN9sre9R6H36WeNjOTbHxmP2dX7Z3bo8qeOnFOP2DDcmvxR/LGt99kzbM6/W1wPiBcqbrc/fpuNcLKryp6bSecWgfFPGVD4IPE1xKq9xH35S7S5rnfPvh2+ouvlcWV4e79PRlm+cM2SeMrofT/nb9C4dlNd7bE7leC7/Ve0ttvhGqN9e23UTF5dtPpzFbkvV8Ru4TZOE7jqu63QvWTuGn+j4Jk15++PpsqfibfJUua3/T6Fum/3vOmgfJBOq/Kp4lk+u6DeQ6x0t87S2TH4z3zeUOV7u/w2ydqyemrbJ/jsOvrfa81HoffpZ42M7tr11cJbs74uxvao92fzeWL/lbOR+4fxfKX9UUfa4oi3fx13JHP3QsGZmpSp/ZlX6HfXSwvdv11TiTqHObs3ILOT2WovZqRR1K/Tm1BaT3ui+UT9XtPVFHVvA7ynKXtY2ol+LtO23FbpPt6Iuhe7yI4r6t3FBZZrFLjYzSeixnoPfjv/Pi5Nmd6Xst4qyVnSu/2exoWXka3w6qRjfD3S8UfYU2Z4T+muF7nvHAnYf35N5yu/0IJl99kOj9TsKvU8/a3xshrbFP+rgWbLbyNql68U6bh/MbT0/ZNuxv68tbH7t2wOLMi9d2rr/FuouJ7vQx2ZcDJ6nXzHFsnhNrL/UvEXuNWibvC/gJcTTZd4UdPLayGucDMmbm20qhf40FX5U5reHkzdz2oeq8/EB1lTr/eewokXv0zxFtlG2SfYF2d2L8+XhRcp4/E43kz2hOX6+ft/aHHf9rJaffvB4lvFu2SbZx5rB+S374DDQMmbejNylOX9v/e4g+39F/dsWx73ErA+hB39GkT2nGcW1+r2wOfYUd99RjG7lg/BMxZsxTvvLvOHl6e0zZP98Q/Gq/vXy6NGydhOqHIyXHp+Vdc38XO8tRWVv3v6ubD+ZZ1VjS4/RgDzlbl8mfmu36S/CYP3W9kzTyTMVb+A5+UFtXt6/Giz1IfRWSO0g/QSPKZbFa2L9leZb8G7nmqKxOI6V9rNa1/9IHX+o6Nw3yx/J7LfF1SY/6C4t8v7cM6/0EXV0oMy77Ra9Nw69rHDymvWJzXH88ezs1Kbwrvr129LXtg+2WN/51fLT3P+HrJ1mH1cMzlPxuClXvtWfqfPehPPb/V+K63x4QZHvJWZ9CN1vz28VA+v6Xr5Pcf50Hbc3n9c0MbXrsli+lHw5RS83g9olRFe/br+PvpcyzpXULW+aJ6ghT2/LsrbtdjrpvN/8Xel+KvRmUl9LG++st7Mn7/Rb9BaFhevPbk63an67fsq3uq/5P12VQtm8/fRMw0sGz6RKe00zLq/RvXQs0weV8e66k6/37MsPh8uasvanxhfPiA6VdektNFeXrdmY8NN50kaDe/mP4vzDi27/sSi/XVPujbW2rQ8XdX3oB4rPeS3n5LWM10hOrtte125sOBDtd+ef6Li9kR9R1G2D4bp+I7qNuC7yE7dtey8d+430VNlWsmmphl15/euVaft52bSGm3OeDrb1/cYrN+Hay/fUgWcArucNrh3bE82vb8ivyjydrkk1Ph2vhryh1JXasbywONluxrVFfuB6z8V9vb+o54d262/cjOvTzxof36yxdH0T94OpHaPvU/Mt09uK865XbsK19XzNSUW9e/5mE5tz7t/3dIxnR9XN45mZqiqpFd+YXme4/otlO8l8472yKXNg/kZWJjvZQvF6zPU/UJRFoXvDwvUtXovtjbL3yZxKoX9B+Wm77rvo/FUyt+WnrNfvh8j8Oc5lUegvacp97r4yb7S0sxIdTky17NoGlip0M2v5/dvEUWyxxX10zm9W1/2czGteP9j8cLUgPdPZR1aTanw6Xg253ltld5RZuLvJ/qEpv0C/5UMpCl2nt7iDzDe4N+XaNE3ortOXn7N8tD++R/zQ70rnq7CNy0NDhbsU58xh0qzaMx4vYdyOvza5Hb+obi7zA8Z6OlhWk2b5s7mNqkpNb95N3Sjzm9dvGNt5snfJJm2EWUQXy7yW/rLsj2UtJP/6+ja5fTtvQfrG9Vvo9s3JUuj+Dul/GrlWZugvaOqUPw9p6rhf9/FU2TdkZd+7Nxf4pjxW5ieozW9SXz8r1bLzOqzstzzeYUonfpi2s5Cuf6ooL7VgXik7Sea1cuu3178WfG2q8clxerXsRJnfau7L98LZsjfJfLO26TQdlP4eVJwrDz0l7mL0slC/Dz+n+eh7ohxHFFu8h1zX93+Zvti08dJQHrN+oPy57NMyP1h8P1srH5PdN1aekp/mz68uq6o0pZN5nSqFvuu8Op3Rz1phN8ON3zid0afofzYfe/mOHiGRhwAERkZg0vpgZMNkOBCAwNAE1sI0xmtsj7O0pw4NpqL9tcCuwo3fqJLRp8ggm49V/lRViqTIbyaQkV1Gn+Ltms1H1ugxwuQhkJEAa/SMUcUnCAQCCJ1bAgLrgABCXwdBxkUIIHTuAQisAwIIfR0EGRchgNC5ByCwDggg9HUQZFyEAELnHoDAOiCA0NdBkHERAgidewAC64AAQl8HQcZFCCB07gEIrAMCCH0dBBkXIYDQuQcgsA4IIPR1EGRchABC5x6AwDoggNDXQZBxEQIInXsAAuuAAEJfB0HGRQggdO4BCKwDAgh9HQQZFyGA0LkHILAOCCD0dRBkXIQAQucegMA6IIDQ10GQcRECCJ17AALrgABCXwdBxkUIIHTuAQisAwIIfR0EGRchgNC5ByCwDggg9HUQZFyEAELnHoDAOiCA0NdBkHERAhsqECxU1KEKBCCwxgkg9OUHMCO7jD7FCGfzcYGpewwxeQgkJIDQEwYVlyAQCSD0SIQ8BBISQOgJg4pLEIgEEHokQh4CCQkg9IRBxSUIRAIIPRIhD4GEBBB6wqDiEgQiAYQeiZCHQEICCD1hUHEJApEAQo9EyEMgIQGEnjCouASBSAChRyLkIZCQAEJPGFRcgkAkgNAjEfIQSEgAoScMKi5BIBJA6JEIeQgkJIDQEwYVlyAQCSD0SIQ8BBISQOgJg4pLEIgEEHokQh4CCQkg9IRBxSUIRAIIPRIhD4GEBBB6wqDiEgQiAYQeiZCHQEICCD1hUHEJApEAQo9EyEMgIQGEnjCouASBSAChRyLkIZCQAEJPGFRcgkAkgNAjEfIQSEgAoScMKi5BIBJA6JEIeQgkJIDQEwYVlyAQCSD0SIQ8BBISQOgJg4pLEIgE+hb6nurgc7JLYkfkZxLIyC6jTzGQa8LHPoX+eBE4QbZbJEF+JoFadjuppXfKzpGdLfu47A4zW1+dChl9iiRT+bgQvevIb6Oy42V7yD4s441+A6Q+2W1Qk5+VfUJm3s6/QfZt2c1u6G4ufzP6FMFl87HGny1qKvmma2cHCP3Xt02f7B6pZt3ePsVdua2Ofyyz4OeVMvoU2WXzcaGvqbvBXB9pka8iUMvu0Wrt+7Izi1av0fEXZD43ppTRp8h3TfnYl9AjBPL9E7iLmrygo1mX7SXbvuPc2Isy+hSZj8JHhB7DMt78b2toV3YMz2VeOu3ccW7sRRl9isxH4SNCj2EhD4GEBBD62gnq5RrqTTqGu6PKvF68ouPc2Isy+hSZj8JHhB7DMt786Rqa1+Ix3VYF35L9NJ5YA/mMPkXso/ARocewjDf/EQ3N38vvVAzR39PvJTtyvMOeOrKMPkWH14yPNd8US+f4jv5rGn2ya/9hxv8Nt3XTxev0e6lsbP8wU3s/jMWnKM5scavyp6qSSB0u2yTzFPK65viUSHCd5ftm53+BfZfsXJn/Bdb/JXfHOTPN6FNEmM3HKn+qKkVS5DcTyMguo0/xds3mY2//GRdBkYcABEZEgM24EQWDoUBgKAIIfSiytAuBERFA6CMKBkOBwFAEEPpQZGkXAiMigNBHFAyGAoGhCCD0ocjSLgRGRAChjygYDAUCQxFA6EORpV0IjIgAQh9RMBgKBIYigNCHIku7EBgRAYQ+omAwFAgMRQChD0WWdiEwIgIIfUTBYCgQGIoAQh+KLO1CYEQEEPqIgsFQIDAUAYQ+FFnahcCICCD0EQWDoUBgKAIIfSiytAuBERFA6CMKBkOBwFAEEPpQZGkXAiMigNBHFAyGAoGhCCD0ocjSLgRGRAChjygYDAUCQxFA6EORpV0IjIgAQh9RMBgKBIYigNCHIku7EBgRAYQ+omAwFAgMRQChD0WWdiEwIgIIfUTBYCgQGIoAQh+KLO1CYEQEEPqIgsFQIDAUAYQ+FFnahcCICCD0EQWDoUBgKAIIfSiytAuBERFA6CMKBkOBwFAEEPpQZGkXAiMigNBHFAyGAoGhCGyoaHihog5VIACBNU4AoS8/gBnZZfQpRjibjwtM3WOIyUMgIQGEnjCouASBSAChRyLkIZCQAEJPGFRcgkAkgNAjEfIQSEgAoScMKi5BIBJA6JEIeQgkJIDQEwYVlyAQCSD0SIQ8BBISQOgJg4pLEIgEEHokQh4CCQkg9IRBxSUIRAIIPRIhD4GEBBB6wqDiEgQiAYQeiZCHQEICCD1hUHEJApEAQo9EyEMgIQGEnjCouASBSAChRyLkIZCQAEJPGFRcgkAkgNAjEfIQSEgAoScMKi5BIBJA6JEIeQgkJIDQEwYVlyAQCSD0SIQ8BBISQOgJg4pLEIgEEHokQh4CCQkg9IRBxSUIRAIIPRIhD4GEBBB6wqDiEgQiAYQeiZCHQEICCD1hUHEJApEAQo9EyEMgIQGEnjCouASBSAChRyLkIZCQAEJPGFRcgkAkgNAjkdXL76muPye7ZPWGQM9ZCfQl9H0E6B2ys2VnyM6SvV22a1ZwPfv1eLV3gmy3Ge0eqPOflp0v2yQ7Rrb3jGtW6/RaGutyGa3Ex/PU6UKHPWK5g1npdR7MrHSaKnxCtmNT8Wb6PVl2gWyHWRcnPl/Dbhv5f7xsD9mHZZPe6Afo3LWyQxpeG/T7Ztnlsls3ZfP4qfFpLGNdLo95+OiX4cEdtvtyBz3luhp/Nj91ZiUL/a6h0qOV97VPnHVx4vM17CzYdmY1TeifUr2LirrGtr3sStlhc2RY49NYxrpcLPPw8czlDm4Z1y30NXX/PXVusZfp0ibzW8sY2Hq6xDfV9RUO7686fguUdX+qvKfxD6+4fp5V1tJYl8tlTfnYl9A9pYzpjk2B156klROwqLfsaMbCv6WsXTZ1VJl70Voa63LhrNRHa+9Nsi/KzpUdK3vwcgfTx3U105jYj6ejJ8qOiCfWWX6p7KZN3Y8Wu8tkNyoYtlN39zPE2q4rXDU+jWWsXeOvKZuHj1/QQLwJa8E7ps+R+aH9zJoBLrFOjT9Va/TY79+owGuQm8YT6yxfBbhgMk3o3gPxzOlQ2daybWVem/9E5n52kc0j1fg0lrEul8dq+ei3+hWy8mG+XB/K63pbo5eNPlaZv5Q9UPbjPkZJG5sJeA/k92X+nPZ12edlF8reJfM08oeysaS1NNblMhvCxy9rMN7Tape9yx3bsq6rebq1DXun/RyZPxWRbnjTLoXDtDf6pHaO1InjJp0coHwp90Psft5jjf3X5of28cYaSNdn55er3H3fpXaglfWq/KmqpA4fJYsiv5fKXlE5mIzVatm1vk8Tuh+e+wZIXqN7qve4OcKr8WksY10ulr59vL0G4n2rNj1VB137V/+h8qtkXpb1mWr8qVqjW+RXy14iK/8J4I3Kb+xzxGusrSrAhU/ThG6u/s/DnZv62+nXN8tRc2ZS49NYxrpcNH366KWs23tRMZin6vga2f2KMtfzZpw11Heq8adK6P5HDjfWZRv7HvUaaq8KsPw5XLZJ5rX2dc3xKcHP/ZT3FN3rcq8P/Z+HL5b1vXETul2UrfFpLGNdNPjKgj59PEh9eq/qSUXft9Dx/5KdJDtd9i2Z4/m0ok6fhzX+VAm9z0FlaqsK8BpzOKNPMQTZfBxk1z1CIw8BCKwygb7+M26V3aB7CEBgGgGEPo0O5yCQhABCTxJI3IDANAIIfRodzkEgCQGEniSQuAGBaQQQ+jQ6nINAEgIIPUkgcQMC0wgg9Gl0OAeBJAQQepJA4gYEphFA6NPocA4CSQgg9CSBxA0ITCOA0KfR4RwEkhBA6EkCiRsQmEYAoU+jwzkIJCGA0JMEEjcgMI0AQp9Gh3MQSEIAoScJJG5AYBoBhD6NDucgkIQAQk8SSNyAwDQCCH0aHc5BIAkBhJ4kkLgBgWkEEPo0OpyDQBICCD1JIHEDAtMIIPRpdDgHgSQEEHqSQOIGBKYRQOjT6HAOAkkIIPQkgcQNCEwjgNCn0eEcBJIQQOhJAokbEJhGAKFPo8M5CCQhgNCTBBI3IDCNAEKfRodzEEhCAKEnCSRuQGAaAYQ+jQ7nIJCEAEJPEkjcgMA0Agh9Gh3OQSAJAYSeJJC4AYFpBDZMO9mcW6ioQxUIQGCNE0Doyw9gRnYZfYoRzubjAlP3GGLyEEhIAKEnDCouQSASQOiRCHkIJCSA0BMGFZcgEAkg9EiEPAQSEkDoCYOKSxCIBBB6JEIeAgkJIPSEQcUlCEQCCD0SIQ+BhAQQesKg4hIEIgGEHomQh0BCAgg9YVBxCQKRAEKPRMhDICEBhJ4wqLgEgUgAoUci5CGQkABCTxhUXIJAJIDQIxHyEEhIAKEnDCouQSASQOiRCHkIJCSA0BMGFZcgEAkg9EiEPAQSEkDoCYOKSxCIBBB6JEIeAgkJIPSEQcUlCEQCCD0SIQ+BhAQQesKg4hIEIgGEHomQh0BCAgg9YVBxCQKRAEKPRMhDICEBhJ4wqLgEgUgAoUci5CGQkABCTxhUXIJAJIDQIxHyEEhIAKEnDCouQSASQOiRCHkIJCSA0BMGFZcgEAkg9EiEPAQSEuhL6LcTmzfJTmnsXP1+Rna/hMz6dmkfNfgO2dmyM2Rnyd4u2zV0dITyC1Nsu1B/tbP31AA+KbM/9usrsses9qB67v9Atfdp2fmyTbJjZHv33MfcmvPNNSs9VxUuld2+qbilft8su0Z251kXJz5fw+40+f8J2Y4Nh5vp92TZBbIdCjYW+htlBwd7v/JfKOoNfVjj0x00iKtkfmC1L5On69jXPnzoAfbQfo2PB6ifa2WHNP1t0K/v+ctlt+5hDH02UePP5uDMSo9UhWeHSrsr72v/dtbFic/XsLPQ7xoYPLph98Si/HU69s0V00kqeHIsHDBf49ML1L/r3TaM43vKv3fAsfXVdI2Pn1JnF8nKWfH2yl8pO6yvgfTUTo0/VULvGo+nMO7gaV0n10lZDeCtO1jcq2HnmdK0dA+d/IFs22mVej5X49Pz1Kfr+c1eJo/13T2PZ4jmany8Qh0f29H5qSrz7HZMqcafZQndT/LjZCfIthmTx3MeSxXgjjE9RWW+dtay53DVObTj+iGLanzaWQP4psxv7xvL/NbzFPdHsrsNObie2q7x8WL15bd6TF52+fp2KRbPr0a+xp8lCd1P8EsaRz+i31ushlcj6rMKcBiv13onyrwmn5Z20kmvg+Nbc9o1fZyr9WkPdXa87GqZ3+QW/r37GMAc2qjx8WiN4zLZjYrxtFN3X++l61hSjT9LEnrrmJ/o3kn2muzuY/F2FcZRBTiM62+UP1N20xnj/Wud73qjzLhsxadrfPKXBIvAX2I8o/Mb3fsIP5M9YsUjGL6BGh+9r+LNOM+ovPzy8slr85/IfP0usrGkGn+WJXQ76J3382Tz3BEeC9h2HFWAi0E/Vsd+89W8Dfw57lGr4HCNT+3bzvdAmfz56TurMOaldlnjo9v05zV/MXHMPGV/scw7755p9fXpWk2tOFX5U1PJ6zBPOWM6SgX+xLZeUw27lo132s+Reco7K/n/E74t22pWxQHO1/h0gfr18iOmt6jA1499SVfjY/StzR+pA+9PjSlV+VNTyUH10y0mf/oZ2w5kHOOQ+Rp27t9v5ihy77y/YsLgPqTyV004N3RxjU9f1iD86Sk+/D+qMj/4x75BW+OjH8j7Btheo3s3/nGhfLWzNf5UTd0t9M/Kbl549Fc6dgd8R58eZovcG1YvkR1cmP85ZmPHpf6POdevmd53XL7iopqb5knqxfUOKXp7gI6vk711xSMYvoEaHx0rL5+8H+W0ncwbqJ7Fji3V+FMldL/NN8q+Lvua7CyZhZ/tXx6XGsAawH7zuV6Xbezo8GUq85txtVKNTx7bw2S+BywGby76+/JzZKux3PB4lpJqfNxPDXqKfqHM//TUrtHLXfil9Dlk3Rp/qoQ+5CDXcttVgNeYgxl9iiHI5uPCmHYGI2zyEIBATwQQek8gaQYCYyaA0MccHcYGgZ4IIPSeQNIMBMZMAKGPOTqMDQI9EUDoPYGkGQiMmQBCH3N0GBsEeiKA0HsCSTMQGDMBhD7m6DA2CPREAKH3BJJmIDBmAgh9zNFhbBDoiQBC7wkkzUBgzAQQ+pijw9gg0BMBhN4TSJqBwJgJIPQxR4exQaAnAgi9J5A0A4ExE0DoY44OY4NATwQQek8gaQYCYyaA0MccHcYGgZ4IIPSeQNIMBMZMAKGPOTqMDQI9EUDoPYGkGQiMmQBCH3N0GBsEeiKA0HsCSTMQGDMBhD7m6DA2CPREAKH3BJJmIDBmAgh9zNFhbBDoiQBC7wkkzUBgzAQQ+pijw9gg0BMBhN4TSJqBwJgJIPQxR4exQaAnAgi9J5A0A4ExE0DoY44OY4NATwQQek8gaQYCYyaA0MccHcYGgZ4IIPSeQNIMBMZMAKGPOTqMDQI9EUDoPYGkGQiMmcCGisEtVNShCgQgsMYJIPTlBzAju4w+xQhn83GBqXsMMXkIJCSA0BMGFZcgEAkg9EiEPAQSEkDoCYOKSxCIBBB6JEIeAgkJIPSEQcUlCEQCCD0SIQ+BhAQQesKg4hIEIgGEHomQh0BCAgg9YVBxCQKRAEKPRMhDICEBhJ4wqLgEgUgAoUci5CGQkABCTxhUXIJAJIDQIxHyEEhIAKEnDCouQSASQOiRCHkIJCSA0BMGFZcgEAkg9EiEPAQSEkDoCYOKSxCIBBB6JEIeAgkJIPSEQcUlCEQCCD0SIQ+BhAQQesKg4hIEIgGEHomQh0BCAgg9YVBxCQKRAEKPRMhDICEBhJ4wqLgEgUgAoUci5CGQkABCTxhUXIJAJIDQIxHyEEhIAKEnDCouQSASQOiRCHkIJCSA0BMGFZcgEAkg9EiEPAQSEkDoCYOKSxCIBIYS+gfU0YJsn9gheQhAYJwELNilpHursq9B6DcwmMXudqrwJtkpjZ2r38/I7hcu3L1h2rItf3ea1UmP52vvh3uqz0/KzpKdIfuK7DE9jmPIpob28RkafFcc27IHF86dN6HuI5YAYGGrJVSuqbpBlf5B9p+yh9ZcQJ0tHiQGfyq7j8xB3VJ2qOwY2T1kFkmbTtfB3xf59vCnHWWrWXQHdX6c7N0y+3e97OmyD8n+WHa0bK2nlfpojXwwQNhL+UNkXyjKr9XxkzpgndRRtqKi2qebO3mCzG+j9om13qfuNeweKV7PDhFq395/W5S77NhQbzWyNT69QANzvduGAX5P+feuxqCX2OfQPj5K43l+x5j8gP+XUH5mR72lFvX6Rt9Wvb9WZif2X+pI1nH9ozp837Epu7zj3Foouq4ZZPUym7UAACAASURBVJwxerbyy7XgQMUYV+LjRzrat36eKvMMaFVSzdPNA3upbGMzQt7oN4CoZVcG1m9BT3tPkG1TnPAb3dP498u+KjtH9h7Z3kWdeRzW+LSzBvJNmd/eN5Z509dT0h/J7jaPQa6wj9Xw0dPzrum49zi8h/NFmfdvPKsr1/A1rtb4s3kKNivtqgrfke3WVEToN4CoYdey9ZrvEpmv8RP/Fu2J5veW+rXQ29mS3/peA18l2zfUHTJb69MeGsTxsqtlP5BZ+N6oXQtpNXz0uty6icnlj5f5YXkj2XNk3vN4Zqw4JV/lT02lw9XJK4uOEPoNMGrYxfj4bfgOmdezd48nQ3475S2ij82o1+fpGp+8N3OZzG8iz0p8kz5Z9jPZUnaL+xz3Utqat49+UHu2s33lIP1Wv0Jm4dekGn9mvtE9yItkvunahNBvIFEFuCNSXst6B77cfe2otrnIU/zvTzo5QHmNT95Vt9DtR5n8JcEzv7Gneft4mIC8dQlQXqW6HuOdKq9Z6OMfZu6vzryR4LXEpsZe3wzA31Fd9rgmz89iAl7D+rNkmbxh5Wn6fkXhTXW8dajnrOtGQXVUm2vRndXb+c3Yyo69xvSSJC5L5jq4njrry8ebaDxPlFnsMfne2CEWKt9uaPYa95qnWxwLb/QbiNSwO1FVD4wAlffGzKVF+UYdxzWcp8We4nvzbl6pxqcvazCe5cUH2EdVdo3M4x5z6tvH23ewaP3/Sx14VtaVnqrCIzpO/IfKvDfjF2xNqvFn5tS9qyOEfgOVGsAW+mdlNy9A/pWOfW35HX2j8n4j7tnU89P8LbJfyPzPNvNKNT55B9n1vNPepgfowJ+kljJFLS6f62GfPj5WI3d7L5rggWdu3mzrSk9VoR+M9ytOuj1vxr2k64IJZTX+LEnoB6ijTTJ//3Xj327y5fp9wlhSFtcA9tt8o+zrsq/JvASy8OO/i3qq+DaZb4zTZRfLvDTqmg2oeLBU45M7f5jMfpwt8z99nCrzjvFWPjny1KePB8nXH8v88IvJsfuurGtJ5rpe4vwvmWd3jvm3ZCfLnuaTS0hV/lRVWkKn66lqRnYZfYr3ZDYfe9mMi5DIQwACIyPQx677yFxiOBCAQCSA0CMR8hBISAChJwwqLkEgEkDokQh5CCQkgNATBhWXIBAJIPRIhDwEEhJA6AmDiksQiAQQeiRCHgIJCSD0hEHFJQhEAgg9EiEPgYQEEHrCoOISBCIBhB6JkIdAQgIIPWFQcQkCkQBCj0TIQyAhAYSeMKi4BIFIAKFHIuQhkJAAQk8YVFyCQCSA0CMR8hBISAChJwwqLkEgEkDokQh5CCQkgNATBhWXIBAJIPRIhDwEEhJA6AmDiksQiAQQeiRCHgIJCSD0hEHFJQhEAgg9EiEPgYQEEHrCoOISBCIBhB6JkIdAQgIIPWFQcQkCkQBCj0TIQyAhAYSeMKi4BIFIAKFHIuQhkJAAQk8YVFyCQCSA0CMR8hBISAChJwwqLkEgEkDokQh5CCQkgNATBhWXIBAJbIgFHfmFjjKKIACBZAQQ+vIDmpFdRp9ihLP5uMDUPYaYPAQSEkDoCYOKSxCIBBB6JEIeAgkJIPSEQcUlCEQCCD0SIQ+BhAQQesKg4hIEIgGEHomQh0BCAgg9YVBxCQKRAEKPRMhDICEBhJ4wqLgEgUgAoUci5CGQkABCTxhUXIJAJIDQIxHyEEhIAKEnDCouQSASQOiRCHkIJCSA0BMGFZcgEAkg9EiEPAQSEkDoCYOKSxCIBBB6JEIeAgkJIPSEQcUlCEQCCD0SIQ+BhAQQesKg4hIEIgGEHomQh0BCAgg9YVBxCQKRAEKPRMhDICEBhJ4wqLgEgUgAoUci5CGQkABCTxhUXIJAJIDQIxHyEEhIAKEnDCouQSASQOiRCHkIJCSA0BMGFZcgEAkg9EiEPAQSEkDoCYOKSxCIBBB6JEIeAgkJIPSEQcUlCEQCCD0SWf38BzSEBdk+M4ZSW29GM5yGwA0EfNPNSrurgut12U6zLk58voZd6f69C4bThF5bbwi0tT4dqM4/LTtftkl2jGzvIQY0QJu1Pt5TfX9SdpbsDNlXZI+pHI81s1H2Ddnpsq/LXiq7UbjeL+NDZO7D9b4qe2CoMytb5U9NJQ/6a7KDOywOfNagMp2vYdf6u0EHX5J9TObrJgm9tt5QHGt8OkCdXyvzDerkMb9Zdrns1k3ZmH9qfLyDHLhK9nZZOzN+uo597cNnOGdNnCn7suymTd199ev23hSufY3yF8lu1ZQ/RL9me99Qb1q2xp/NA5+VLPRjZ1Vah+dr2LVYnqCDz8ieIZsm9Np6Q+Gu8elT6tw3Z7k03F75K2WHDTWwHtut8fEFTZxuG/r9nvLvnTGW/Zpr/yzU+5Dy3y7KdtXxz2XPDfU8i/BDojYtsEavRTVsvW3V/GtlL5zRTW29Gc0Mfnp/9eCp5vVFTz/Vsafxs952gw+upw6ua9rZKrS3pfK/nNHHpGvdVnntQ5XfWuYXQJmc/z2ZX7BVqU+he2rxfpnXEOfI3iNbK2uyKlgDVrLAT5CdOqOP2nozmhn8tEXtGz4mC/+Wsh3jiTWYP0JjPk/2StmNZe1a2n57mTItea39EdnzZK1YD9Kx195/V1x4l+b4gqLMh22+PR9OLy9bM41x8LwZ4Se5kwP5bpnXHF57rNdUw87Ts+/IdmsgTZq619YbmnWNT0drEJfJyv2Zduru66vfREM7M6H9Gh996R6y42VXy34g+6bMG6U1yW/qf5b57X6p7Mcyx75M71PmF6HMWT8QPMYndZzrKqryp6pSR+vbqczOe3NpvaYadocLzisLQJOEXltvaNY1Pt1Vg/CG0aEy39Becnht/hOZr99FNuZU46M3S/0w8+bZNjK/0Z8s+5nsETOcsza8xvYU/BZNXU/Fvyt7fXHtmhC6x+vp6PeLga+3w1k3jGc73rRy4NvUJfTaevPgO8undgwH6uATMr/lTpa9WOYprWd5fS4Z2/76/K3xsZ21xCWKPyN6hjYttRt5cWnrrxRe3rTlb9Wxx+IHZZke25Q/OJRPyi548d9H8icCT1/8FC+TNxYiiD76y9LG/eWIg+iNqzbt0Bx4Z9XTNgffn6Rq6n3w182s+tGJGkG8EY9U2Zdk5Sbdqg90mQO4s67z5mLceDtXZZ5a+03tN3RX8rVOfgiWydf6U6TP+57wWt5prybfZLdod/rb8235in5rnm4b1UNcX3g68z3ZcSvqfW1fXMMuetj1Ro91nK+t13XtSspqfPLaNe7NeI1+hexxK+l8TtfW+Oipt2djFmaZPqrMNTLf/226vQ7Kem9Q3n3crqjjw+c35Qc15e3nteeEev6UvaTPa+H6zmyN0xt1pZ9GezYt+C3+FpnfSPfpbHV9FNawiyRqBVxbL7a/0nyNTwerk7NlOzedeWlyhOyolXY+p+trfPRGmOt5xtWmB+jAm2uecrepnWa/qCj7HR37y4R33r1j7+S39oWyU2XlLPg1TXm7Wfsg5T1zvq8vqkw1/lT9w4ynGm+Teefd04mLZZ56ep22nlMV4AbQAfrdJPN/j/k6/+OE8+X6Xdktauu57hCpxqf91LFncr5xT5O1a/RyF36IsfXVZo2P7uthss/K/FDzf7pZpH77buWTTTpIv95Rjzvk1oyXMt+QWTOeqnvz8rdkZfJ+hh8S7sP1TpJZ7EtJVf5UVVpKr+uobkZ2GX2Kt2Q2H/nPuBhh8hDISGDsnzkyMscnCMydAEKfO3I6hMD8CSD0+TOnRwjMnQBCnztyOoTA/Akg9Pkzp0cIzJ0AQp87cjqEwPwJIPT5M6dHCMydAEKfO3I6hMD8CSD0+TOnRwjMnQBCnztyOoTA/Akg9Pkzp0cIzJ0AQp87cjqEwPwJIPT5M6dHCMydAEKfO3I6hMD8CSD0+TOnRwjMnQBCnztyOoTA/Akg9Pkzp0cIzJ0AQp87cjqEwPwJIPT5M6dHCMydAEKfO3I6hMD8CSD0+TOnRwjMnQBCnztyOoTA/Akg9Pkzp0cIzJ0AQp87cjqEwPwJIPT5M6dHCMydAEKfO3I6hMD8CSD0+TOnRwjMnQBCnztyOoTA/Akg9Pkzp0cIzJ0AQp87cjqEwPwJIPT5M6dHCMydAEKfO3I6hMD8CSD0+TOnRwjMnQBCnztyOoTA/Akg9Pkzp0cIzJ0AQp87cjqEwPwJIPT5M6dHCMydwIaKHhcq6lAFAhBY4wQQ+vIDmJFdRp9ihLP5uMDUPYaYPAQSEkDoCYOKSxCIBBB6JEIeAgkJIPSEQcUlCEQCCD0SIQ+BhAQQesKg4hIEIgGEHomQh0BCAgg9YVBxCQKRAEKPRMhDICEBhJ4wqLgEgUgAoUci5CGQkABCTxhUXIJAJIDQIxHyEEhIAKEnDCouQSASQOiRCHkIJCSA0BMGFZcgEAkg9EiEPAQSEkDoCYOKSxCIBBB6JEIeAgkJIPSEQcUlCEQCCD0SIQ+BhAQQesKg4hIEIgGEHomQh0BCAgg9YVBxCQKRAEKPRMhDICEBhJ4wqLgEgUgAoUci5CGQkABCTxhUXIJAJIDQIxHyEEhIAKEnDCouQSASQOiRCHkIJCSA0BMGFZcgEAkg9EiEPAQSEkDoCYOKSxCIBBB6JEIeAgkJIPSEQcUlCEQCCD0SWTv5D2ioC7J9RjzkPTW2z8kuGfEYGVpDwDdTbfpTVTxRdrLsW7Ivyx5Te3HCejXsdpffrtdlO01gcu+i/ryFXuOTh/142SbZ+bJpQreP75SdIztb9nHZHWSrmWp9PFCD/LTMPm6SHSPbezUHPqHvKn+qKqmDF8tOkt2q6Wxr/R4pe9uEztdDcQ07C/1rsoM77EYdkDao7Euyj8nc/hiFvo3GdbxsD9mHZZOEbl8+K/uEzNc4/wbZt2U3k61WqonbARrctbJDmkF67G+WXS679WoNfEK/Nf5svplmpTuqwi9kdw0V7XAsm9VWpvM17Cz0Y5fg9BNU9zOyZ8jGKnTf9O2ycJrQH9nhw7Yq+7HMgl+tVBO3T2lwF8nK5e/2yl8pO2y1Bj6h3xp/qoT+WnVw8YRO1nNxDeClCN0iuEB2N9mYhV7GfJrQj1DF73XcIJ4Cn9dRPq+imrhdocF0PaBPVfml8xpoZT8LfW3Gec3owDxR9nnZN2Req3vNTppNwMud98u+KvNa9T2yrrXeC1V+gsw3U4Z0FznhB1dMLttL5jfkWNNPNbAtOwZ3vcpuKdux49yoi2qebhb5VTKvt24u8wPEU0w7/ZxRezfs4GrY+aY4Q7Z/MxTfIO+Wmee+xfB21fF3ZLs1ZRne6H7zeQoc0+tVYHartdatidvRGt9lsnIfpZ26+3rP1MaSavypmrp7s8WN3T145h1Ub050PfnGAmHIcVQB7hjAdir7gcwbbm06XAevLPIIvYDR82FN3Lz35M24Q2XeePayymvzn8h8/S6ysaTepu6tc6cHzzzFtMO3HYvHa2QcP9M4z5Tdsxmv3+z3l71xjYy/dph+Cdyko7JnNRaL18FjTadpYL8v8xLr6zIvWS+UvUvmaf0PZaNJW/U0Eq/J/6vMu61l+mWT6WsvoKfhjqqZm2o0V8v8diiT2bUzIYvcb4yzigo7NMef1K+/ePgzzweL82vh0C+GP+oYqF8M/j8MC2bMyftQDw4D9Cdlf/70snVNpZppzNPkUdfU3U57CsrUfXLIN+qUp+Fl8jdl70YfF8rLbIap+6PkkO+bOxWO2fcfycb+ec3/I1DuodgFr9E9C3lc4c8YDms0XLVG94aEpzLeWPH60ukPZH7TsBnXAJnws1Hl58r2bM77ofgWmdndZ8I1Ls4gdM8AvYHrvRyvc51eJ/Mm3dj/YeZgjdH/ybfzDcPefN8fITuqyY/ppzeh2ykHZqPsIpk/EXl9bhjrOdUAvrMA+b8HvfPuqaz/H8HT8QMngDtA5ZtkXt+6/W83+fYBO+Gy3oprfHJn3jzcJPP0+7rm+JSOUfhfYL2u9cPOwvF/yfkfsFYz1fi4nwboGZfX5X7J+d++/d+h5S78avpQ9l3jT9UbfSwOjW0cVYDHNugZ48noU3Q5m4+97bpHUOQhAIEREWA3fETBYCgQGIoAQh+KLO1CYEQEEPqIgsFQIDAUAYQ+FFnahcCICCD0EQWDoUBgKAIIfSiytAuBERFA6CMKBkOBwFAEEPpQZGkXAiMigNBHFAyGAoGhCCD0ocjSLgRGRAChjygYDAUCQxFA6EORpV0IjIgAQh9RMBgKBIYigNCHIku7EBgRAYQ+omAwFAgMRQChD0WWdiEwIgIIfUTBYCgQGIoAQh+KLO1CYEQEEPqIgsFQIDAUAYQ+FFnahcCICCD0EQWDoUBgKAIIfSiytAuBERFA6CMKBkOBwFAEEPpQZGkXAiMigNBHFAyGAoGhCCD0ocjSLgRGRAChjygYDAUCQxFA6EORpV0IjIgAQh9RMBgKBIYigNCHIku7EBgRAYQ+omAwFAgMRQChD0WWdiEwIgIIfUTBYCgQGIoAQh+KLO1CYEQEEPqIgsFQIDAUAYQ+FFnahcCICCD0EQWDoUBgKAIbKhpeqKhDFQhAYI0TQOjLD2BGdhl9ihHO5uMCU/cYYvIQSEgAoScMKi5BIBJA6JEIeQgkJIDQEwYVlyAQCSD0SIQ8BBISQOgJg4pLEIgEEHokQh4CCQkg9IRBxSUIRAIIPRIhD4GEBBB6wqDiEgQiAYQeiZCHQEICCD1hUHEJApEAQo9EyEMgIQGEnjCouASBSAChRyLkIZCQAEJPGFRcgkAkgNAjEfIQSEgAoScMKi5BIBJA6JEIeQgkJIDQEwYVlyAQCSD0SIQ8BBISQOgJg4pLEIgEEHokQh4CCQkg9IRBxSUIRAIIPRIhD4GEBBB6wqDiEgQiAYQeiZCHQEICCD1hUHEJApEAQo9EyEMgIQGEnjCouASBSAChRyLkIZCQAEJPGFRcgkAkgNAjEfIQSEgAoScMKi5BIBJA6JEIeQgkJIDQEwYVlyAQCSD0SIR8nwT2VGOfk10yo9HaejOa4fQkAn0J/Qh1sDDFtps0AMp/ReBPdXSi7GTZt2Rflj2m4LO7jicx3qmoN5bDx2sgJ8h2mzGg2nozmlmV0weq10/Lzpdtkh0j27tiJDuozotlbby/ruPTZH/Rca01eojsLNnpsq/KHthRb8VFvrlmJQv9jbKDg71f+S/Mujjx+Rp2dt9BP0l2q4bF1vo9Uva2go2F/jVZZOz8jYp6Qx/W+LSNBnG8bA/Zh2WT3ui19Yb2KbZf4+MBuuhamUXotEH2Ztnlsls3ZZN+9tGJ62QPKyo8Wsfu98/DRa9R/iJZe288RMfu976h3rRsjT+bO5+VXqcKdjwm37xPjoXrKF/D7o7i8QvZXQMX3yxlmYV+7AjY1fjkm76dLU4Tem29ebtd4+OnNCgLsJwVb6/8lbLDZgz4tjr/zx11zlPZJ4ryXXX8c9lzQ91PKu8ZX22q8adK6F0d3kOFP5Bt23VynZTVAH6tWFxcwWMtCb10Z5rQl1OvAtWKq9TE7Qr10vXgPVXlly5jBH7ofVf27uLaZ+jYY4nLAc8iXO57oiYt9LVG7+rsWSr8V9k1XScp+xWBe+vIT/Inyj4v+4bMazev2WPy9M3LIa/TzpG9RxZvgngN+WEI/FTNbtnR9PUqu6Vsx45zk4puqhNvknlK/uqi0l2a4wvChW2+PT+p3SWV1zzdYoPeHLpKdod4Yp3la9hZ5Gb1WdnNZX74PkHmG+Y5BS/fPGfI9m/KfCP56e9r9y3qDX1Y41M5hqxv9KPl5GWycn+knbov5W3rh/YvZd5/uXsI3vuU97IuJm/GuY8nxRMT8lUxq6oUOvhr5b2GWe+php03qlwvBvnjKvPGTtdbo+XqrxleHn1sjqBrfCqHk1Xo3j/xG/hQmTdPvUT12vwnMjPaRVabfO0zZVfLnl5c1JvQh5q6e9r+jlov13m99sbwp5Myea3nm8UbN5PSz3TiTNk9J1WgfDAC/hz2+zIvnfx5zMuuC2Xvknla/0NZbfLy9p2yD8j+SdZ+LvWDfitZ3OdqlwV+yFelIYR+P/XsgXhqQ5pNwGtyb8TYyuTpnFMbI6/j/OaIyfWmvfVjffL9EfBeyoNlXqJ6SeWvT/6k+CWZl16TkuNoAcfkh8eNZb/bnGgf/nuFiu3DP74cYnu/yg8h9GerdT/VrpvYKydKAu20+84Byz7Ke2fX/4zh9BZZ/FTp79Cud0pTh5/5EbCg496I1+h+0fntXKbbK1M+yF+u/ItCHWfb7+/tm/o/Veblgdssk/NfkXnZ11tayppsV/XqdUbttn9vgxxpQzXsvJnjJ7n3NLzmdvoDmTdhys24jcqfK9tzc40b3uIWv+vdpymbx0+NT+U4sq7RD5aTZ8t2bpx17I6QHRWC8FjlzawU9muU96e08kFxgPJexpXf0d2U614o280ZpQfJVu0fZpoxbPEyHXy0zfBb/T8INxOrjbKLZP5s5vW5b6Qy+Y3v/5Q7Q+Ypm7+9+x8nDvyNWsNnaoV+uIaySeb1qmd3Pu6aedTWG96zX/dQ4+N+qn6czCL0g/pk2Ytl5S68WzxI9mNZuUN+O+XfKPNOu2PpmLqN/ynz1L1MnnX7IeGHiuueJLPYl5Jq/Km+WZfS8XqpWwV4jcHI6FMMQTYfB/2HmQiPPAQgsEoEhtiMWyVX6BYCEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEAKFPIkM5BBIRQOiJgokrEJhEYMOkE0X5QkUdqkAAAmucAEJffgAzssvoU4xwNh8XmLrHEJOHQEICCD1hUHEJApEAQo9EyEMgIQGEnjCouASBSAChRyLkIZCQAEJPGFRcgkAkgNAjEfIQSEgAoScMKi5BIBJA6JEIeQgkJIDQEwYVlyAQCSD0SIQ8BBISQOgJg4pLEIgEEHokQh4CCQkg9IRBxSUIRAIIPRIhD4GEBBB6wqDiEgQiAYQeiZCHQEICCD1hUHEJApEAQo9EyEMgIQGEnjCouASBSAChRyLkIZCQAEJPGFRcgkAkgNAjEfIQSEgAoScMKi5BIBJA6JEIeQgkJIDQEwYVlyAQCSD0SIQ8BBISQOgJg4pLEIgEEHokQh4CCQkg9IRBxSUIRAIIPRIhD4GEBBB6wqDiEgQiAYQeiZCHQEICCD1hUHEJApEAQo9EyEMgIQGEnjCouASBSAChRyLk+ySwpxr7nOySPhulraUT6FPo91T3n5SdJTtD9hXZY5Y+pHV3xRHyeGGKbdcQqa03FoCP10BOkO02ZUD76Nw7ZGfLfM/43nm7bNcp14zp1IEazKdl58s2yY6R7b2EAe6vuv8pO0V2jswcXhWut0YPkZnN6bKvyh4Y6vSS9U04K91BFa6SOUjtw+PpOva1D591ceLzNews4DfKDg72fuW/ULCprTc0zhqfttEgjpftIfuwbNIb/TSd+4Rsx2bQN9PvybILZDs0ZavxU+PjARrYtTKL0GmD7M2yy2W3bsqm/Rykk5fJ/IJs0wt1cGaR9+FrZBfJbtWUP0S/7ve+od60bI0/m8U6K71AFVzvtqHi95R/76yLE5+vYfc6+e+bJqaTVPDkorC2Xmyn73yNT77p2wf+LKHfNQzw0cq7jyf2PfAltFfj46fUngVYzoq3V/5K2WEz+tpS5z0LeH6ot63y9y/KPLP5uey5oZ5nzl8OZdOyNf5UCf156sWN+c1eph8o8+5pI0h+rgpwB4N7qMzsHPhpqbbetDaWem6pPk0T+tYdnd9LZe4j3twdVQcrqvHxCvV+bMcITlXZpR3lZZHF7D72mlHvGU29uBzwLMLX7z7j+vb0Qvk0qryms5qnlefJXim7scztejB+cnk6Q1oagWep+r/KrplxWW29Gc2s2mlPQWO6Y1Pg9f2Y0081ON/fMV2vglvK2uVIPO/8vWWu56WKly5ef3sZ83LZjWRtuktzcEFR5sM2354Pp5eXrXm6uWWvx46XXS3z2+ibMju0nlMtu5LRTsp4vyPOjiLH2nrxupXml+rTtDd6HIun/CfK/OJYzVTj49EaoNfYpTDbqfust+27dN0vZd+S3a1x1Btz35H9e5P3z/tkvyjy7aE349zHkzrOdRX19kbfR617zeCNFN+AflK9Wnac7BFdPVM2kcBTdOaLMj8op6XaetPaGNs5r1l9/zxnbAPrGI/fvrvIvHfiJYiXWW+S+WHl5BfepOS6nvV689pTfSdrx9f/iWzfpmyuP0t5usWpjD83+Cm1XlMNu8jGn1geFQs78rX1Oi5dUdFSfap9oz9Wo/LDrXbduSInZlxc66M/r3nq7XFbqC+WeanqGdm0ZfE7dN59/KGsTM673Gtzp7c2+bhXY1au9+Cm3qyfha1m1ag8f2fV8y6ipyNlOlcZTzNuIftuOEd2MYH7qchrO08Lp6XaetPaGNM577R7BvgHskvGNLAZY/EyI4rtSJV9SeY1+KT0jeZEfBi0+mnL/d3cyZt2Xse3qf261Z4vTnUfxo66a80u9Wc0r9HbaUt7xZ468OeBH81ughoi8GyZ12/XzaBRW29GM6M496TaoAAAAsRJREFU7dnL/5Z5J/qiZkTeeX/FKEY3eRC+3+MU22t0P4TfGS67vfKlNvxPMn4jx800L4Gd/E8xTq7nDUu3WSbnvyLr9aFYM43xpoDreae9TQ/QgW9YTz/Wa6ph17LxN1Ov62ZNXWvrDcV8KT55DNOm7ha5fX6J7ODC/A9EG33xKqUaHz1eL592bsa4nX6PkB0VxtxOs18Uyr0+v1jWvp39UrxAVm7G+ZLXyC6U7eaM0oNkq/YPMx7Aw2Sfldl5/3ePNxm8qdLX8sB9rLVUc8O0Pr1MBx+tcLC2XkVTy6pS69Phan2TzJ+h/MD38SmhR7/B3V6XbQx155mt8XE/Deg4mUV4mqxdo5e78B7zQbIfy+IOuXXxCpmXvNaM1/levsT/LfCs2w8J1/FU/SSZxb6UVOPP5iCQlkcgI7uMPsXoZvOxt89rERR5CEBgRAT62owbkUsMBQIQiAQQeiRCHgIJCSD0hEHFJQhEAgg9EiEPgYQEEHrCoOISBCIBhB6JkIdAQgIIPWFQcQkCkQBCj0TIQyAhAYSeMKi4BIFIAKFHIuQhkJAAQk8YVFyCQCSA0CMR8hBISAChJwwqLkEgEkDokQh5CCQkgNATBhWXIBAJIPRIhDwEEhJA6AmDiksQiAQQeiRCHgIJCSD0hEHFJQhEAgg9EiEPgYQEEHrCoOISBCIBhB6JkIdAQgIIPWFQcQkCkQBCj0TIQyAhAYSeMKi4BIFIAKFHIuQhkJAAQk8YVFyCQCSA0CMR8hBISAChJwwqLkEgEkDokQh5CCQkgNATBhWXIBAJIPRIhDwEEhJA6AmDiksQiAQQeiRCHgIJCSD0hEHFJQhEAgg9EiEPgYQEEHrCoOISBCKBDbGgI7/QUUYRBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAE1iSB/w+GMyr67mEzCQAAAABJRU5ErkJggg==)
GRAPH
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)
Question 19.At which point does the SMC curve cut the SAC curve? Give reason in support of your answer.
Answer:Short run marginal cost (SMC) curve cuts the short run average cost (SAC) curve from below at the minimum point of SAC curve, where SAC is constant and at its minimum point.
The reason behind it is -
• When SMC and SAC fall, the SMC falls at a lower rate than SAC
• When SMC and SAC rise, the SMC rises at a greater rate than SAC
Let's understand it with help of graph –
Cost Schedule
![](data:image/png;base64,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)
GRAPH
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)
Question 20.Why is the short run marginal cost curve ‘U’-shaped?
Answer:The short run marginal cost curve is ‘U’ shaped because initially the marginal cost falls but ultimately it rises. It is based upon the law of variable proportions.
Let's understand it with help of graph –
Cost Schedule
![](data:image/png;base64,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)
GRAPH
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)
Question 21.What do the long run marginal cost and the average cost curves look like?
Answer:The long run marginal cost (LMC) curve and long range average cost (LAC) curves are U shaped curves but flatter than short run U shape, because of the law of returns to scale.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQwAAADRCAYAAAA5W4zWAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAFMmSURBVHhe7Z0FnJVFF4cPtXQsJd0gCIg0HyAhXSIKBmKgYgAqKihISEjYBUqKEnbQISECUpIiKd3dnd95ZnmXy3Vh49777t3dGb2/Xfa+MXPmnP+cmjNJr2oT2ywFLAUsBaJAgaRRuCbal1y5csXckzhx4mjfa2+wFLAUCF4K+A0wAIlp06bJ1KlTZeHChXLmzBl54oknpFmzZlKkSBEfKQAAWfDxkYj2dksBnyngF8DAqhkzZox0795dsmfPLmXKlJG9e/fKJ598ImvXrpWOHTtKyZIlo93Zc+fOSd++fSRz5izywgttJSQkJNrPsDdYClgK+I8CfgGMI0eOSK9eveSuu+6S9957T2677Ta5ePGijBgxwvy7bNmyUqJECUmUKJFs2rRJ5s+fL6lTp5amTZuGg8Dly5dl5syZsn79WqlSpYqUK1dBf18jgwcPlUqVykurVg9JpkzZ/Tdy+yRLAUuBaFPAZ8C4dOmSjBw5Ug4cOCBPPfXUDebHCy+8oNpBZqlXr55cuHBBOnfuLHPmzJHt27dLunTpjAkzaNAgOXv2hALLh6qljJVLl85KqlTppXXrJ+XkyZNy7NhR+f33OfLpp4OkS5dukiJFimgP0t5gKWAp4B8K+AwYaAY7d+6UXLlySeXKlW/oFaDQunVr4/wcO3asTJw4UerWrSt9+vSRrVu3Gq0kd+5cChApZdiwEfLwww/K448/ocAxWg4dOiT33FNTlixZJFevJpKWLVtZk8Q/c26fYikQYwr4DBiYGUmSJJHjx49L0qT/fRxgcfr0aZkwYYIBlW7dukmOHDnM9ePHj5dFixZInTp1JDQ0jcyaNU2SJQtRf8edUr9+LUmfPpMMHTrE/C1fvnw26hLjabY3Wgr4hwI+AwZgkTdvXmNyEB1p2LBheM+IlAwYMEBSpkxpTJZkyZKpHyKT+R4fRoEC+WX58iVy3333S9ast8nff69Sv8UGmTFjqvzxx0x55ZWOkjZtekmTJo1cvhwWqrXNUsBSIPYo4BfAaNGihfFjOA7P0qVLG6cn/olRo0bJvffeK6VKlZIff/xR5s6dK7Vq1ZI1a9bI0qXLpEaNmvLXX3/J6tX/yKuvdlJKXJV33hkgo0ePkqpVa6ijVP+iURgntyP2SGXfbClgKeAzYEBCTIxWrVpJ79695cUXX5RTp04ZMwRzpXr16up/aCl58uQxodaXX35ZihYtKnv27DHfP/TQQ6pBpJL+/Xurv2KBRlQqyO7du6RateoKLHVk5coVMmXKJAWfQqpxvGb9GJZnLQVikQJ+AQz636ZNG0mePLnRHDZu3GhMjtq1a0v79u0lS5Ysxv/Qs2dPeffdd41Dk1AriV1ly5Yxw+/YsbOJmowYMVKaNGmkwPKSmiwF9Bl1zL2HDx8xWovNxYhFbrGvTvAU8BtgpE+fXp577jmT4Yk/AzMC3wPA4bRixYrJRx99JOfPnzfhUe5x2iOPPCqNGjWRHj0OqgM0VH0aWfSrROZvtWvX1XDrJeMLsc1SwFIg9ijgN8BgCKz+kWkAGTJkiHC0RFgyZsxoPp4NYLG5F7HHIPbNlgKeFPArYFjSWgpYCsRvCljAiN/za0dnKeBXCljA8Cs57cMsBeI3BVwDDByhS5YsMeHV3Llzm5CqbZYClgJxiwKuAcbBgwdNYtedd94pXbt2tY7MuMUntreWAoYCrgEGaeGLFi26IZRq58BSwFIgblHANcDAJCEvI23atHGLQra3lgKWAuEUcA0wyAIlqQvfhfVfWA60FIibFHANMEjvJlvTFimPm4xie20p4KoPg5dZzcIynaVA3KaAaxpG3CaT7b2lgKWA6xqGJbmlgKVA3KaA1TDi9vzZ3lsKuEoBCxiuktu+zFIgblPAAkbcnj/be0sBVylgAcNVctuXWQrEbQpYwIjb82d7byngKgUsYLhKbvsyS4G4TQELGHF7/mzvg4QCTgZzZMmJkV1HoWuucQ4II0M6mJoFjGCaDduXOEkBhHzokKFa6yW31G/QwBzY9Z+mIDBnzh8ye9Ysya7HcrR+qvUNJR44cvT777+Xr7/+2pwgyL/LlSunFfSbmJ8cGBYMzQJGMMyC7UOcpgA7sT/75GNp9kBzqaNnB0cEGJcUAKZNmypfDx8p+QsWkAcfbBEOGBzS9f7778vgwYPN+cQcwbF+/Xr57bffzNEbQ4cOlTJlwo7jiO1mASO2Z8C+/6YUcE67i0gtd07DQ3X/z/dXRa5cvWJUe8+VGU2ADZA0hDqis4BjMh1XFAzYiR0Skuym5/8u+2uZ/PL9T1KxUkVZvmyFTJ08RVo+1spczzk+33zzjR4Zep906dLF1IzhKI5ffvlFXn/9ddmwYYNwmmBk5k5M+h7deyxgRJdi9npXKGDUfF1Zz507J88///wN59sAJJMnT5aff/5Zihe7Q9rpYVmpUqcy/QIkpk+dpmfz/iHZs2eX51543hx9MWb0GPlGP9u2bJWLVy5K+QoVpXGTxvJA8+Y+V3/bv3ef5MubX0IzhN6UNgsW/CmXFazeHtBPhg0dJr/8/Is0bnqvcOzGV199Jbt27ZJ27drpeTxZzTMoB8GpgPy7YsWKQQEW9MtVwOB8kcjOLXGFG+1Lgp4C2PB//vmnHpu5W5588skbAANQWLlypTmrd37mLObc3jr16hqhwjwYM3q0TJ4wWZo/3MKs1N9986307dlHzl+8IG3btZUTp0/KV8NGqMo/XU/yFXnkkUd88hGkS51WDu0/JCdOnIywfAPax+wZM6VmnVpSoGBBqV6jhvTp0UvmzJ4jDRs3NH0sWbJk+EHlzuRwcJfn4ebBMGmuAQYMgPoVbF7fYJgE24f/UgDhpzobB1t58wzfcaIeP7ft2C5Lly2Ve2rXMibGnNm/y9SpU+TYmROSTlX7hQsWysCPP5Xa9etKx9c7Sa7cuczB3g/d31xeaNtWli9fLvfff7+kShWmocSkhag2cPrcKTl1+tR/bgfcJo6fIAf1eNDkqVLKkC8Gy+bNm2XLts3y2/Tp2u97DFht27bNmDWc+ufd6G+wyI1rgIHNmClTpvBjFGMyMfaehEMBwABb/sSJE/8ZtAMm8FSugoVl/br1cu7sOUmTNo2sXLVSzp49K9lV80iiz1iyeLFcUFPg3nvv1dW9QPiz7ixXRvoPeEdCUiWPOKoRDVInTZFMkiVOqkB0+b93qQqzcOFC2bBxvSRPmUKGDx4ihW4vIsnVTFrzzz/mvGCOED127JgBr5w5c4Y/A3PsrbfekhIlShjzJBi0c9cAAw2DyuFbtmwxISPbLAVuRQFWZsyLiHiF7/iwAFWtVlXmzJgtC+bNl7trVjfRhaZNm8rSxcvkwIEDclQF8fCRQ5JLQ5nerdo91f0yCYlUc06h5sOxo0dluTo3S5YqKWdPn5G06dPJnl27ZfKv46VOnboy4L13jRaUPCS5+jGGysCPPpGxY8ZKc42YvP3228Yvc/fdd5szhNEqBg0apIeTjzCHmAeDwxNiuQYYoD4f56Bmv8yUfUi8pQCAcPjwYaOKR5SDgPrP6ly/bj3ZtGGTLFuxQs6cOyuLFiyQjp1elxVLVyqvXZTEqu5nTJ/xP/4BCGeAR/9LnMi35KjEqsmcPn9GflCfCtGP9GnSylkFuxzZc0jadGnl6Knj0qfv21KgwHUN58WXX5IpkyZJv/79DGC0adNGxo4dKw888IABSYBlx44dxn+DjyXC3I5YmH3XAAOExB7lICN/hbNigV72lS5RAGE+derUTQXlwvkLpidlypfTaEMTWadmCZpEqbtKS8177pGfvv9RsmTJIsWLF5clCxbLFM2BaP3M0+G+ANT9Pr16S/rQDNKeKIsPPgyEmUjNvv375bw+N5GaIUn1bzwTbaFWndqSN1++GyiHufWc+lCIjqRTX80rr7wiuXLlMnkXJ0+eNOYYDs/WrVtH6NdwaRr+8xrXAGPv3r1yVFU2HFnBol7FFtHteyOngOPYJEoye/ZsqVatmvFnsOqSxETEjQUotR5dQaLTB++/p4KXTl7s8LIRsG1bt0nOPLmkUeNG8vEHH0jnTp0lX/78UrlqFbl65ap8oolWJFHVrFfLZxMZcGj/4ov6XM39MJqLqNaiJ/vx/7Uq+RH5Hx5p+YjRcgih0lq2bGl8LZgjaFWM0fkucoq5c4VrgAHhHNvTnaHZt8RlCiAwaAgTJ06U7t27mwgCJm0O9UVg17Ny4yikValSRdKnTS+79uyS+5o1UxBJLecunpOLly5Khoyh0llP2ntvwABp37a9OkAvSNrUaWSv+haq3VNT3u7b94aQbUxphnBHt3mDCJo3eRnB3FwDDEwRmAB1yx41EMwsERx9Q80n65Gf2PSYEGgYRYoUkfyqKeAPADQ4HCskRXL5eOBnsnXbVgMyCOLY776RzJkym2tatnpU8zTqyFjNptygTtFk+n3hgoXM32+77baADRg+57Q/3pFPTZJgCY36MmDXAAP0ZPKDxXnjC9Hsve5QgCzHXr16GRUdDZWf8JGzmj/66KPhQlivQT3NpLwc7iCtXLlKeCcRVDZ8vfTSS8ZRSgNUAs2LgFz//v2NP2LgwIHx4phQ1wDD2bIL4lsfhjsCFx/eAr/crHlGT/Q8vUid6YCEm7kMkzQKMnfuXBPmDZbdpr7yhGuA4cTT4wvhfCW8vT/wFGCRmj9/vgEJHKWB1ig8RwS/E/EA8J577jm/+EkCT7HI3+AaYODtxnHl7ECMvGv2CksB3yhAWPZFjV5UqlTJZEu6CRiYIys0N4T3EtqNL1q1a4BBEo7N8PRNAOzdUacA2gW7Wdm3QT6Dm7k/LIpffvmlbN26VZ555hnjmI0vzTXAAHFpOKDiC9rGFyaIj+PAuTljxgyzT+PBBx901XexZ88eGT58uEnEaqZh3vhkhrsGGA5QxIfQUnwUsPg2pn379pmaGCR1FdQt5W4uUmvXrpUjR46YtO7MmTPHK9K6Bhg4nUhKsXtJ4hX/BOVgMAkob0ediXr16vmU9h3dAaLZjBs3Tk6fPi1PPPGEq36T6PY1Jte7BhjYkP6qhwHo7Ny506h8wZY6G5NJsPf4lwKU4cMcIf+BVGs3TYJZWuSX6EjNmjUlW7Zs/h1YEDzNNcAALPxRcYvVg9g2Zc0aNWokLVq0cNWhFQRzZrsQCQUwRxborlX4w02TAEcrtS9IWac+py8b2oJ1kl0DDAiAugba+2JPAjxoFawghQoVCla62n7FEgWc6AgaLYARkz0eMe06fgv8JlWrVpUGetxAfPTXuQYYzl4Af0RJiGuTm49ZgnniZsgspsxk73OHAmxQo9Yne0oonutm40yRVatWSbdu3YJqS7o/aeAaYDhJM2gHvmgYDJ64NkVTSb2lonT58uX9SRP7rDhMgZkzZ5qy/RSdSZcunWsjOX78uHz33XcmjMs2dTf9Jq4NUl/kGmAAEmgC2HW+Agbgc48WSaGk2bx588yZDVbLcJNtgvNdaJu///672dFK5So3HeKcWgZQkVnqpt/E7ZlwDTAYGELtD8EGcGrXrm1sxNWrV4eXNHObePZ9wUWBJUuWmMN/yL1w8+AfwreEcdnG3lzPOXEzBd3tGXANMBBuNgHhQSZF3FeVjZwOQldMFM8MZF0DtyfFvi/6FMDZiSP8kJbzJ/eCym5utSlTphjNhuMK4rsj3jXAYEJBYj7+aADQXXfdJUuXLjWgEZ/tRn/QK74/g3RsDj4qXLiw2U7uVoSCyB++NMwh7wOX4iPNXQMMp2q4U8DEV2Ji2lCSnUrLc+bMMargrWon+Po+e3/wUoBELY5VxCTp1KlThBXCA9X76XoYEWUEyerEDIrvzTXAIKxK0pU/y/PdcccdhjnI3WfrvAWM+M6uEY/v33//NQ5wzlJ96qmnXPMhoC2zIxZHPrtS42OiljfFXQMMVgGSaPxZCBiAwCwZNmyYjB8/3qC8r76RhClycXvUhFIxSR5//HGTf+FWGzNmjAGqhx9+2ERmEkJzDTAwSRBmf2oYmCX169c3VaQJr1Lj0QJGQmDb62NEcyUNHP569tlnXdvGzvvgOwoTt2rVKkFoF1DdVcDAbEDT8GejmhIh1g0bNpiDb9yMvftzHPZZMaPAhAkTTHSkSZMmxiRxo7HoodX+/fffJnGQJMKE0lwDDLzIODz9XXULs4QyaBxkyy5BoiW+JoYllMmP6+PEh0AaOL4DCtW4tW9k+/btMkDPOeHApI4dOyYo35lrgIF2QfO3ycDzqlevLp999plMnTrVxMKt8zOuQ0HU+k/SHjuX69atK7Vq1XJloWDB+0bPN8EkQbtIaPk/rgGGs+r704fhsBV7SerUqWOO0cM0wRFqW/ymABorm71YiNhK7ta+kZUrV5o9IwDUq6++6lpEJlhmM14ABhoFWZ+oib/++qup0hyf03ODhXlisx/4LUgDb9y4sfFhudEAqdGjRwsmycsvv+xqRMaN8UXlHa4CBoIdiINkyOrDFPn444+NA6xDhw7xdntxVCY1vl9DZOTzzz83h3tTQInKWm40AArtokaNGkarSYjNNcAgaQvnVCAAg4nDAYWnHEbCc05M3jo/4ydLsxWAUCpb2DFF3WhE4KjyhpbxyiuvuJpN6sb4ovoO1wCDcCoOI38U0IlocDg/27VrZ8q7jxw50njN3bJro0pse53vFHB8FywQbAdwY5MZ0T3OeGWvCn6L//3vf74PJI4+wTXAgOic3O7vsKon3XPogbuEVfFiswrBULbFLwpQAm/x4sXGBK1WrZorg6NOJ/UuqOBFvYuEnOvjGmBgkjhaRqBmmcxP9hIsW7bMaBpkgcanU6cCRbe48lyqWnFOKVoF6dipU6cOeNfxl+DoJOcDMzc+F8eJCjFdAwzCqZgjED4QoVVnsEWLFhU0Dba9b9myRe68886o0MFeE+QUwBT56KOPzJ6R9u3bu7IzFG0YvwXnjKC5YuYm9OYaYOCARMsIdJ0CIjEPPfSQcD5E3759TQqv9WXEfTanQA3JedS7QHjdSM7D/Pn0009NFXC2zbvhLwn2mXINMIiOABr+KAIcGVE5fBdzhMxP8jIee+yxgANVZH2y38ecAvi/AAwaBxNR1iDQDU2YOhe7du0yYfqcOXMG+pVx4vmuAQYrgvMJdLiT8C1nUmCSEH7jMF43VqQ4MeNxsJNEJ3B0kpxHwlSg94xgiowaNcqYI/AOGmugeTauTItrgEHmJdqFG4LL5JIB+NNPPxnQ2Lp1qyurUlyZ9LjUT/ZsUFUNR3afPn1ccTrOnj3b+EtorVu3di0xLC7Mi2uAATGIkvh68llUiUr2HytSz549ZciQIfLuu+8m6HBYVOkWTNfhHCezkpqZhFCpdxJoHxiHKBMVYZF58803pVy5csFEkljvi2uAAVjg6Q70hDsURcsgDMbq9O2335oiJ/bAo1jnt2h1AP8BZgEp4IBFoEOa+C1I0MKMJTyf0HMuIpos1wCD1YIoCYLslj2IlsGBNuwx+eKLL+T222+3EZNoiWzsXYwfgd2oixYtMvtF8EkFumHCDhw40PhIunTpIhxlYduNFHANMEiqAijYjgxw+LsuRkQTizbTtm1b2bx5sym0wnmsMILdyRr8YkA1K7QLomuExwMdGicpjN3OABWO1WzZsgU/kWKhh64BhmOK+LtEX2Q0I3ZOrcf169fLJ598YuoYVKlSJbLb7PexSAEWFfYD7d271xxsnDt37oD2BscqDlUWMXI8SAzzxwl9Ae10LD3cNcBwNAq0C7dbqVKlTPweTQMHKNmfNgnH7VmI+vtwOrIXiHNnAPtA+r3QKNhGMHjwYFNHpUePHgl2J2pUZsg1wGBi+MQGYGCCcG7EihUrzBkmX375pdnZaleRqLCIu9ewjZyEu507d8obb7whGTNmDGgH8Fvg6MyaNau0adNG8uTJE9D3xfWHuwYYbpsi3hODA6tfv35mazLqJ3UU3MgYjOsM4nb/0S7++usv4+hkR2qgHOTwI+eZYH5QbZyf9piKyGfbNcBwNp3F5qqeN29e6dq1q3Tu3Fnef/99+fDDD60nPHIece0KwqiEwdkh2rt374AlTKHpEmqHDyi50L9/fxOCD1RxJ9cI6MKLXAMMR8OITcCAnhyYu2bNGqHiNE5QysS7sU3ahbmM068gYeq1114TiuwSrQiUo9MBCyIwmD9kdFqwiDrruAYYTijVrUzPm5EAcMBmxSThXEzCZxyxGOj9CVGfkoR3JQl97ESdMmWKKbsHqAfCFCEXiLqchNaPHTtmNEzeZcPsUec5VwCDiULNRMsIdD2MqAyd8zdZWYi3kzqOYw2b2Tb3KcCKjxmC8FauXNn4mQJR9AgexJlK9ubhw4eNScpCYcEienPuCmB4dulWURImlRg8Kw5OykCsMk5f2GcCc7LCUNKP0GtCOVA3eiwS2KspdIQPAV8C28gDcZgyfDV9+nTz/IMHDxo/lpvnsAaWgu4+3RXAQPCdPIxbZXhS94CsPgSYwiXUtQikz6NBgwbSvXt3kxxERiiOsEAwrLtTGnfexuJAWJMsSypxA+L+bmi11ERhewDaDIVw+Lixa9rfYwmG57kCGAwUHwEJOE4hnYgGz/doFgcOHDCTCiNRuzFQaiPgReyd3AxAiorQMFamTJmCYW7idR9YHHA6k9FJOJOIhb/9SGgWY8aMMc5UwALfFfNNvRTbYkYBVwEDwcc+vZmpgTZBPBz0xzH1wQcfmIxMNh4FCjRgHra+A1KABu8BNAK9dyFm0xU/7kJ4OTuGjV5oAAi0v+nNcymxx8KDY5tICMl7Fix84yHXAMPZqRpZiT4mlFWAYq8ILsKMVkLJvUClCLOr9aWXXhI2PLEi5c+f3zCxZS7fmOtmd5Mw9fbbb5tt64RQc+XK5dcXARYcC0A9V/gOfwXVxv2twfi103HkYa4BBtERBD4qu1SZWBxTMBQedHaaEpcvWbJkwMhKgRaYFx/KO++8Y8CC9HHLZP4lOWYmoEwlNExAVn1/LgRE4yi6gz8KU9NxcPoyj2xOY6HzZz/9S1X3nuYqYID8Ud1LgulC6IvVnw1j3EcoNFB7CwAyzsvEi857OHKR9vzzz9vELj/xI4lSgAS5EPgtXn/9db9pcfDHoUOHjLOc2idEvainQb6NL45zzKdt27ZJwYIFbSao8oErgIHzCQ0DwCCjL6rnkgAab731lnFYjRgxwvg+iNcHCjScTWq33XabMYdYnUjwYRNUIHID/CSHceIxzD8LwPjx441PCm3OX34LwvCcHTJo0CCTxcv5IdTiJK/D19A8CwlHG0RFM44TE+FjJ10FDIQuun4BrmdfAcKMk4yf7733XsD2gOAvgeFQQ1etWmVyNXC84oyNbt99nJt4czsLBFvIiYqw+Q9HpL9AH7BAq+DDM/FV4H/y1/OZBF80lHgzidcG4hpgEEYj+oHwRRf1EVRW+yNHjhh/BrYkyT7+ZArPieX5lJaHGVGb2XeAbUxmKCaSbVGnAKbCjBkzjJOTXaGU7S9dunTUH3CLKwF1gIhsXUCJxCxMSAvsfiFvhA9xBTCcNyN0tOgCBvegnaBZwIA4tFBxHbUzECFXnkkoDnOIDWrE8AE9fregEXWGnDdvnknB5vhKcmpIwffHis3iQZkCIiElSpQwiXeAkS/OzaiPKuFe6QpgsGLjZcbpRXYfq0FMQAObF98C2Zg4JZcsWWJCsKihgVhVYGyYHT8GKi95GvhgSDKiDzEZQ0JiNeYbByQ0o/YIc+XrzmD8YP/++68xOzgNrV69eoYX0F7sfASeu1wBDIaBbwDtwAGMmA4NhqOMWmhoqPFtkOCFaoo6GgjQoN/OUXmo1ZyRQak/ytCTGwIQ2vZfCqBNEm1iwxdHVRKuZs58aYAFoE06P1oeR0fgY7Lp/L5QNXr3ugYYjlYR1bDqrYaB2ok/gbJqONJgGkwU/A2+rmARvRfzBHUaDQchQM3GG79p06Z4EXYFcBFGANcf0QCeB50wGTBF2LLuC1g4mxLxV7ANnr5ysh3RK2seRk/gfb3aFcBgwrH//elrYOUnlg+TU6MTUwUwAjQCUeAXswompTAtKes4X9F0sKXRNqjm5Q/b3NcJje7951UTeKvHW6aGJjt3a9ep7RNooEGS+Ia/CZqgBRLejGljISAzlHAs2gUaHVEWolY21B1Tqsb8PtcAA3uWlcGfoIGAclBR0aJFzWpGjgb2Ml5zf8X4vUnLisbuVrJOcbgR+yejsHnz5iYcGwizKObTG/mdWzb+K2NHjpJESRLJ5YuXDCCmSh2zzVlkcWJ6QBOeA5CjYcTEt8ACc+LECVPNmx2tmIF169Y1Zgh5HNYUjHxuA3GFK4BBx2Eaf6m8noRg5Ud4EWLAAiblXfg2CLsGIp0X7QaAgIFZQclcxBG3Y8cOeeGFFwKWI+JvBkAjG6c+mTMX1CS5ekU2rl8nx08cjxFgoGkxB5x6zpEOmA4xOdqQqBSLC6FsomGYfRwLgd+CPSHWBPE3F0Tvea4BBt3CPg6EAPNsmIo9BIQ/2TLNRjIOpSGfIhCrPqAE8+I/YfMUKyu5IayETz/9tJQpUyboV8GjKuRfql/gUV21y5UvLx8MeEc+HzhIur/VI8pp0Jiby5cvN+YZO34xE2OaIwNQUDaRnayc1o7jFD8F9KTsQaB4J3oik7Cvdg0wWM0c51qgSI7vgkgGG9UwT4huIMDsRKXGhT8cet59RzXGnmavAZuq8G1w/gkl8gkjBuq9vtLQaBfqF0iWKIkULFBA6tarKz98+71+vpO27dpKdjUlImtOSvbQoUNNiBvtCi0juj4kNMNZs2bJ5MmTTbEbgALaUVSHcGkg5i2ysdnvI6aAa4CBqgkj8DOQjQgKAswKzxZnYvTE69kVSWJPoKIoqOG1a9c278Phh8YxZ84cEyEAPPCpBNMKaUKUuhOYjVUTJ06Svfv3yWZV/3fu2inTNBT6+JOtVVAT33SqTp8+I4N1rP1UqwrNGBpetSw6jkgWkIULF4bvLnU2ABKubtq0qa2KFUhBieGzXQMMN09th/FwupUtW9Y43fAxkOiDmULSFat+ICIamD6sirwXsPrzzz/Ne/HyAyY4RQGOYFgxqaG5YcNGKVWmtNx5VykTYWp8bxOZPWu2zJ+3QB5Wc+5mZexwRvbq2UuGcexk6btMdAVnZFSzLFk4OE4AbcypWcF8AayYkYEA9RjKh73NiwKuAQYCirD4M0oS2WwiwNjACCqhUBxp5FCQ8k1aeXRV58je5/hpqE1ZtWpVU/MBdZ2Q4MSJE00SE5mJTZo0MTZ5bHn6iUCgCWXLnk369H1bqtWobrJv0f5S9x8gM6b9Jnt37pb8hQveEOHgvgXz5ssoPZ3sh++/kzKly0r3nm+ZWpyRgaBTOR5zDT8FRwrs27fPOKzR/Jz5iElEJSrzYq/xDwVcAwwYCieh26dL8d5ixYoZr/3tt99uHHLkauDbcCIpgegTwMj7cIpyWvy0adOMpgNokDNC7Q3SzrHRWZkDofHcjEVY4XEM58uXTypUqnjDnJQvV06+0kjT0OFDpadGgByt4bQ6JIcPHyFDvxgiu3bvlAYNGsmbb74pd5W99UYy8ijIzQAgFi1aZKp3AxRsQCMZDv8SfBFM5pp/RCt+PsUVwHASt9zwYdxsmlCvcYLinOT8TrSNBQsWGFUaxiUEGwjtBy0CVZvcAaqg49eYO3eu2ZuC9oG2gb8Fm51sSK4PNHgAAoQpeY+3GVFHnZ/duveQpMmSGHrg6/hz7jzNhfjROHUR7G49uutmr3aSOk3qCMnNPfgnOP+DyBVnpXIaO9oDGhYOTejBsQ6BHmv8FNvYG5UrgAGjoM5SzQrPemw1BADhJX8ClZy0clKYMRkQWFZ8TIVANIAArYJsUfwH5Cuw7ZsUc1R0Csrg56hQoYJQLpAsSfobCLOF5+J3AMi9V3YA5NnnnzXmCb6KMdrPIYOHaI3V3fKIhkwfbN5Cqt9T8wZTBYBgXgEJnKjz5883YVG0CYAYLQ9gxEwDoHGMWo0iEFwW+Ge6AhgMg5XEOZ8ktu1UGJZt6mSJAhgwN3kEOOKo8EXFrUCdWwEd0CQ4gYvaDZhGABYqOxvbcJBSkpAt29j3aCWAB2YTgufQ0VfWuJUT+pwK/nz19aBRTFLfC+/s1buPtG3fzszhJc0IvXjpopxS4Fv9zz8GJPBNYHKQwEYrVKiQ6TvVqiiawyeyAtC+jsneH3gKuAIYTpYnq1cgVsyYkIkVDvOEECi+BUKvP/zwg8kuJJ+AHZb4PgIFHM6Wf7Z94+tgMx25DGgdgAe+Dv4NoLEXA8EjcxK/A/92/EGASGQOx6jS54zmQyz9a6mJXqBZ5MmTVx3ET0r1GtWkkgr8kcNHZJzmSWzZslmOHD0mizUKdP7KZZMYt3//fuOPIcpB1XUAr0aNGma+/dW/qI7DXhc4CrgGGKyQOMD8sVvVn+QAEJxcCfakIKCYC5xpQagPpxwaB0IRKDUageL5CBhqO85YojnY/qzc69atM/1xfEFci/mCBkLkKU+ePAZQMKcwN9AIPLNqMS88tTpHu+An3104f8HkYEyaPElGfz1Ktu/Ybt6VIUOopFOH5IwZM+XDDz6SQwoKezRfI5nmZ6RKnUaKKL2KlyxhEuV4P6aUk/4fKFr5c+7ts6JPAdcAI5jtVpgb4KCiNcV42EbNpiciCXzwexA65GhFhDIQURVn6hB2aMW78LXgH9iwYYPRNnbt2mV2leKsRQPBfAGE0TzoP9eSY0KqOn8DPBgbm8IckMCn4CTPoaWcOnFSFi9aLDu2b9dyAVlkp4JF2pSpNdMzuxxTLeLbMWMVlNJKvoIFJHOmzNJQczWIcNRv2MDkSwBMnkdhRp8F7R1xiQKuAAYEocgJTB3M6inCRW4G5gH7F9hOjXmAYGK24JBEC8A2x4xgNQ2kP8YxN9gngzaBdsYHByOp1PhcjE9BgYKIxHYVekAFvwhaCZvhuB7aUzWM5+FbYO8HESv+nkbBYbdmd17W607qNRUqVJR8alLkzJ1LNZVkCjyZpGyZslKuQnmjuUAjG9mISyLu3766BhjYsoEWMH+RBqFA1UfbIHICaCxevNh8OImNeg9ssqpevbrRAtAIAu2bcVZxhB7NgVR0QpP8HfPBARPn5z/qjEQzIXKBrwbwQDvh76Rj09A8QhIlkypqBm3etNmAwpBhQ29IY4cW1rzwF2fF/ee4AhgwNAyLChuIXIdATQPCiFZENIWQ6MaNG03GJmFDzsEgxwAHZDlNdsJ+x9EHKGKyuBER8NTWvDW3ihUrmh28aBJoHmgVaCSzZ882UZpatWqZOiKAHg0ALHx7EfNdMGuBgZpr+9yoUcAVwGDVI7tv7969MS4AHLXhBO4qJ2MUU4SQKDsrly5danwc7BlxTmUjCat48eJGWBFatA8nOhRIVd4xVQAI8ifoEwDH2SqEOnfv3m2ckyRNAXIkUNEvxkVY2TmVjp8WMALHR3H9ya4ABkSCEWFmErjicnMcpBTQIRkJzWLr1q1G/SeSQSYnP9FO8DWwEQ3NgygCKeIFdCu5E2pMrNGGpEnC8lNubFev/TORfhf265UrYXs9nM/FixdMoZlt27Yb0wIwxnexevVqkw8BnXF88gG4ADH6wu/e5hP+Dfoa1RPp4vL82b77RgFXAMPJw2CFBThiesyAb0P1/90IHg5QxsO4cDQitKzmbDyjdB+VqDADSEdH2NE8yL0gZyFt2jS66ueUkBRJ1ZGYxPghLl26rIlRYSUAAKfQ0PRyWv0Qp06eEgre7N9/SA4fOazOzW2ydNkCOXWc64hUhFU1Q4ugT/gtcubMaSqDYQreKuELRy/9Ijxr/RX+55P49ERXAAOCwbD4L+KSDyOqE42gMi6Ejo/jhGSVx8GIBgKQkFOBBoDzEXAgozJlqiSSPKVqGiHJ5IqCzqnT53Sz1hURVTLQQHLkyCy79+wzGkbqVInViZnYmAz58maV4nfcKbcXLqUaQwrjqAQsKlWqZCI4TrgzKlEcfDBEXZxM0qiO216X8CjgCmAgQFRVwiRhVY7vq5hnRIP8DUKxAAQaBpoIP4m44Ag+ePCAqgZXJJFqE3qRXNLvrio4KMnkitbZ3H9gn5zV3Z7p02cwCWT8pMZHTX1mihQkk4XlQXh+osvGTtZpdO+z1yc8CrgCGI4PI+GRN2zEngDiJH2RqRnmm1Bt4hbN+d5XUIiM9vhDItq9Gtl99vuERQHXAANmJESJmh5ffBj+YJXItK3IvvdHH/CzcNg1Dlx/nX3qj37ZZwQfBVwBDAACL7wTVrSAEVyMQHiYvBIiKpFpPMHVc9sbtyngCmCgTrNSovZasHB7iiN/H/tjiJQwNza0Gjm9EvIVrgAGBEa7YPWKitc+IU9IbI3dAfPYer99b9yggGuAQdgRH0Z8DKvGjam+eS+JvqBh4JC1gB7XZzOw/XcNMFB1SSCyKm9gJzQmT2dDGrtdY7N8Ykz6be9xnwKuAIbj9IQhycewfgz3J/pWb0S7oP4G6etWwwiuuQm23rgCGAzaKTfPvgV8GW6EC4ON2MHaH6p8sSHNbmUP1hkKnn65BhimFJxqGE4eRvCQwPbEAoXlgahSwDXAcHIwnLLzUe2gvS7wFCBln8OGcEizHd+aJYGneVx9g2uA4RDImiLBxSr4k6iY/sUXX5iix9T6iOoZqcE1EtsbNyjgGmA40RG7erkxrVF/B/OBI5oqYhyrYOcn6rRLiFe6BhjOBiyrYQQfm2XNmtWEvN0oKxh8o7c9ig4FXAMMOpUQtrZHh/jBci21NGj4MmyeTLDMSnD2w1XAcA7YCU5SJNxeAeRU2+KnBYyEywdRGblrgEHuhU3YisqUuH/NoUOHTHlBnJ7Wh+E+/ePSG10DDKdsHcSxTBlcLIJJgsOTE9Osjym45ibYeuMaYDhHAMKQVtMILjagDimVzm0CV3DNSzD2xjXAcGpi2BUs+NiAuQnkmSnBN2Lbo5hSwDXAwIdBNiFFcG0LLgqQrk+EhExPm7QVXHMTbL1xDTAACg7ciesHGQXbBPraH8zDv/76S3788Ufj9OTMVqtt+ErV+Hu/a4ABCTFHrMMz+JiJoxRHjRpliug0btw4+DpoexQ0FHANMFi1qB1pK24FzdybjgDgVNzKlClT+EnwwdVD25tgooBrgIF24Rz+G0wEsH0Rs0MVU5ESBLZZCtyKAq4BBrayrYURnMwIULABzZboC875CaZeuQoYVNvi/E5/hVaJvBw6fMicK5pCzxe1LWYUcCqG27TwmNEvId3lGmAEgqhnz5yVgYMGysMtH5E7ihQLxCvi/TMBCfxLZHrmy5fPOqXj/Yz7NkDXAMNJDkLD8FcLSR4idevWkwJ58vvrkQnuOcwLh0VjllSvXt0cNWCbpcDNKOAaYNABf6ceE3GpWrmKnV0fKcAu1YYNG/r4FHt7QqCAq4CBz8Ge3RmcbEVVd3uQUXDOTTD1yjXAwFYm29OG7oJp+sP6cvDgQRk5cqTUq1dP2Ihmk+uCb46CpUeuAQYDdgDD7lYNlukXs3N46tSp0r9/fzl79qxxflo/RvDMT7D1xDXAcJyedvNZcLEA85ItWzbjX7J5GME1N8HYG9cAg1WLfAli/vgx/BktCUbCxqU+lS1bVlKlSuW3/Ji4NHbb1+hRwDXAACTYQm3t4+hNkBtX79+/3xxlaXepukHtuP0O1wADU4SPc9xA3CZb/Oo9gAFYoAVa0Ihfc+vv0bgGGClTpjS2Mg2zxGFMAMQpEIwDzvk44VfPhC/+BuhwDTY3z3DSzK/yYP172I/rP4nK8K9E5ptEen3Yb04Luz/sCu3K9SuvXXY9XfrG+7wngn46fY/oO89+eX4fscYV1v+w5vzu+f7rv/uqsXE/85E/f34D5vzOJkGnBmtkafxmzPTRs8vXyOjQPHwoTre9r/UYrUNHbxre7N/e6eze9HD+7VmEmr/FlG7e9/Fc7+d58kHk73J4lZ3D/x1lGCtf1e+0tCU/4VAjM1djJQzuCmA4TLB+/XrjkadKtad5grONjxM9Qcjx2PM3GDZLlizmw+Y1QoAnT540Njfb5VMpcydSoioLGKa9dPmiXLx00TwrSeIk5vczmkJ+4eIF9ZsklVQpUyihk4cBliadXrioACRhk544SWK9Rj8GVMJm76J+z0ya/zwBhWk0kwnghCWlwTzOrk/+TWKZ46/h+Y6WxfX4cPj+uoCEARsPpT9hr9ffrl4Oezd/UKYxX1y59lP/5UQ0vPNbnNojThjbEXzv67h/z549cvToUVm2bJkMGjQofL+PMyc3F96rGiZXWmt/w4Qk7EroZASLj/kbtNXPNYm4ohdeuQzI6M8rYcLrqXlGtHCEPff6tU6fGJ/nmMw8Ku35QGPGx5xQ7Y1rHbrfSPtbjFD7yLUOPZ3nOnONKcdiyHvgad7hyQvOezz7HzbNEAa6Ke/pdBpSQRIFAmeBS6R8GBKSTM6dPS8ZQjPIiZOnzPXwbmiGUHnooZaSOlXqm3c+AN+4Bhg5cuQQPmvWrDETuGPHDjPRjsbA2CA2xIeY7J4EGBzBS58+vQEJJujEiROGAbg/jRIviVI7edIUklyBAMA4f+m8uS9DGgWUDGnl0IFDcvTYEUM+ACZZsuT6HgWa5Ill1579ohu7wwRUZypxMhVmZFJl1kxp+I7vRKJ449FUWBRLrl6rOOg4cT01IwcwmGAYGQF0vud6xsqYw4T6ggBdly9dkzrzrrDfDX5dvb78XLkAY8FkifUskRBDL88cF57taF/ODmFHo/POheHvuXPnNoCxaNEiWbVqlbBJEHrTZ/5+801prHIqxDfN9r+qgIzmpTTV8SQNw1a5pH2HdkaIFDDMGK9pjEYjNECiF11r3u9nfA4QIqgOH3nOjvM8tCXoDt84zRH667T3vPPG33k3z2AuHc2W+1nQ4FHoy2JGtix04xrmFbrCv55RQWdeeMNlJcBVFgOdQ2VHSaz0uaI0uXBRAYOhK1mSJkskWTJlkIOHTqjsZJVdu/brd5dYTqRyhQrS7L4H4idgQGBKv2GScHp74cKFr5sSSmBnld27d6/wgUmdyeAIPybbyUTk3zyP75m0zIq0TA4TmlInLfG1vSopdZJTK8Bs3blTThw/IecvhDEMqA2KX1YkuKKfpHofKsoVZslo1mErpVkA2JiVTKXh2ip5Telw2DhMo7km4I6q6qxEzpi8VfqIVNqwB+pqYzoAO+hvqE3md9Nr/f2atOnvYf1D0Pibs7qHmXPmao+VOCJh9zTZECYEwjnEyNGQoGnk+TLXol3XsOw/FoejctxcHnXFV/rfSNgbTEpuvdUuWm8TxlM7cfrvAAQ/+ZujlQA0kZlcngLP745pw+/QDm2Z6B8FiAAKB1jgV/jT0TgiMk3oC4BvFC9j0obN5XUTOZECq75HteSkytfnzulCyHV6RYb0GWKl/qorGgaTDiGrVLn1vg/OxeDjz5ancCF/Ps4+y1IgQVPANcBI0FS2g7cUiCcU8CtgOL4F1CrUNMwH2ywFLAXiDwX8AhgAxYoVK2TChAmyefNmQ53bb79dnnvuOcmePbux7WyzFAg2CrCwwbv4a3CoRxZqda7HjwFPJ8QzXHwGDOL2b7/9tkyaNMl41osUKWIcaF9//bUJob744ovyxBNP2A1NwSYttj8mgvHDDz+Yqun169e/JY8S8YDHZ8yYYfxx+NooOFSmTBlTRDmytm3bNqN1h4aGRgpMt3rW4cOHjYM1tppPgAHizp8/X7777jupVKmStG/fXqpVq2Y8vVWrVpXXXntNvvzyS/nf//4nJUqUiK0x2vdaCkRIATQKonYI8q20C6J27OYFXLiWUoZz586VDz/8UDq8+LK88torkk4Xy5s1hLxFswfkkVaPSodXOsQYMHgOMtW7d2/JkydPrMyqT4BBWGnmzJmm448//rgBCxrEb9mypaxdu1ZGjBghS5culTvuuCPSEFasUMC+NMFSAFPkgQceuOX4MT8+//xzw8cvvfSSvPHGG0aD5rQ4NI6Rw4dLoUKFpNG9jU0IlcOgyA0hHHpQQ678/tMPP8qxI0dk25atsnvXbkmZKqXJ3yDR68CBA8bXxzMwcUhMZMHNnDmzkRdyO9CEMIHox7hx40zNkqeeesokLrrdfAIMCMSpWY5G4dl5JoOj96ZNm2aStBi0rbPg9vTa9/lKAUxufHNoyR06dAj3W1TQxCn8c99+NVq17D/l2IljsmzpMnm5/UtSqlxpOXboiDzfpo2Ur1jJAMWhQ4dl6ZK/jEmzdcsWWbJ4scnj2LZzh0lC7Nixo7Ru3dqY8IDFO++8Y4BkzJgxsnLlSmmjz/rpp58M0EyePFnKly9v0hQiyyPxdfze9/sEGE6GoZOB6f1wkBCwQJW6VfKNvwdln2cp4C8KbNq0SbaogLP4eTs5Eey0GdLJseNH5MjhIzJrxm/yWKtW5tXnzp6TFctXSAHVHB57/DGZPn2qNGzSSFo82EJeVjNmlX73wovt5f7mDxhQ+OCDD4x5hDZerly58O4jO7Nnz5YePXpI165dpW3btqYyGoDlNljQKZ8AAy2iVKlSBhCmT59uzBKngZpDhw413udGjRoZNc42S4G4RgE0Y1K64WPvnbwI7Plre5QyhmaULJmzSg7VOmhHT53QbMxQSZcmnRQrfoe5/6677jKgc+L4MSldtpy81OFl4wR99NFHjWk/a9YsEzTAieossJgtzmbN4sWLm8AC2kVsyZNPgEGn8RSPHj1avvjiC2OHFSxY0NhyRElweDZt2tRcY5ulQFykAM76nDlzyrp16+T48eNGC3Aaqd/Zs+UwWxAS6Qako2qWJEoWJlI5c+U0WwvY/Og07if9P0/ePMY34WgsBQoUMNshtm7darZAIEeO+U5EBpCgoa0DHrFZGc0nwGAQdevWlX79+kmnTp2MTdWgQQPjzJkzZ47kzZvXAEZsoWFcZFDb5+CiAILLuS1jx441O3nxJaAt4Evg3/+sWS3PPves2ViZKiSlTJ0y1eyZmjPrd9m9d4+k0E2OVy7rnhXdYYy2cvECu3tFNm74Vx2guySvRlzGjx9v9p3cd999snz5crN7+Ig6SdE0MIfYX8UiTM6Is0s2tqjkM2AQEXnsscdMbBovLsgJYDzyyCPy4IMPSp06dWJrbPa9lgI+UwAzhHQBIn7vvvuu+cmKj0D/8ccfcv/9D0jTZvdppQTdIZwsRL779lvVBLbLtq3b5eL5C3L61Gk5r+UVUqvwf/PNt5Irp+6VUplZvnyp8UuU0fKI+C+IeDz55JMGEACi9957z4AETlIWXOSLTZuA0ahRo4wrgFyQyJLNfCaA1wN8BgzneQ8//LDwgZDEqm3lJn9PlX1ebFGA4kKdO3c2WjPlGXBCYk4QNXnllVeMQCPoHTq9oqDwjfymQo7Dv+F9TSRfgfyS6bYs8kSb1vLVV1/Jjt07w0ovaPLVZtUe/lInJ0DgREcI82KeLFy40JgfaOzkXBCuJUkMGfv1119lyZIlRqtxuzau3wDDmUxPGy+2Jti+11LA3xTAD8cHZySLIhqBp7ACAmQ0N27SxPgukAPP1R8t5YUXXjBmCeBQsmRJeeutt4x/hHokTsQDpych1Q0bNgi+De9UBCIl5IM4ZR78Pc7Inud3wIjshfZ7S4G4TAFA4Fap2Zk8nKLe43QAhoI7VJ8DHAjNejfeUbRo0ZuSCW0jtpoFjNiivH1vgqQAoEFq92JN3IqLu7ktYCRItrWDjk0KABqVK1eOzS7E+N0WMGJMOnujpUDCo4AFjIQ353bElgIxpoAFjBiTzt5oKZDwKGABI+HNuR2xpUCMKWABI8akszdaCiQ8CljASHhzbkdsKRBjCvwHMNgEk0x33HFoCse00S5dumw23Jw5c1rz26+YNFVfGtlupI6zgSfs+WHFdW6V5srBReTTx7QID+/iftssBeIbBc6rrLLvJKnKbUzlI6o0CQcMDlzav3+fbmz5yoAD+ewIWNg5p+d0k829snr1Wtm4caPu2HtWd6Lmi9HGF3bi/fLLL2YTzS7drefsOWFDD5vVvHe27tu3T37//XdTdYisOHLrqUgeVeEnlXennn7GPoD7778/SgVbo0q8YLru33/Xm41R1arV0BoL17dgB1MfA90X6rLMmzfPFLvxzMaEB+AjUrqpP0GlLCdtm52jh7QsHt+TgUlBYH9s6EJu/vlnmaaIZ9P071wxKnZDv5EXFtKsWbP+5xnsNVm6cInMmTdHN7md0XFlk3oqH3nz5fWJz2+1uIYDBptnJk6coFlob+kxhBe0qG852bZtp9EuEGKEdfPmTVoIdYwR2EcfzROuEXgeqedoDxExB++gknivXr3Mdl428LC7lV13VGWmcjOT5jTqG7788sum+CoTzbOpu8G/PasS3YoRGfzAgQNNeTOqFN0q5TYqR+cFmulj8nwE5bnnn1VQnC/DtGjRk0+2dn1TUkz67e97WFRef/11sxeDreKO4CO8H330keEDyi1Qn5NF0TRFjJ493pSvRoyU59u1l7f79ffLsRjUrOjcuatUqVxVOnZ6I0ZHErDrmwpb7DdhTJ6aPRo3O1pHfznKnG2bLnU6YwEMGTxEWj/9lLzaqaOExECjRgaoAMaWfjbdebdwwOB8x8R67uhlPVW7WLGCWg6su67+YadWI6g1atSUTz/9xBxkfM89tQxDsj8fLYFDfNmhSvEcNBAQ3hPFPV9aunRpAxgIMgjJ5G3fvt0UCfbUGphkCp6yM5DNOewK5OyT/fv3m0KpnsINYFFMlQ+bgiCwZ/kyGIfCJAhWRI3zMTdv2izLtLBr2fLlpIgCIgBFwRPuo5/cmyplKsmVO1d4QZOjR47Klq1bTH9Y0Vid0JQ8q1DTN7Q1Jh868kxoQ/9JDebj9B9tizMzDx85bIqknDHnx54zzJ05S2YzNu/Vj3u/HDlY1m9YIclSJJJZv0+XVq0eM/OzU+tF0pf0+kwaoMx5svz79OlTSvdtcur0Gcmsfc+YMVN4UVn6y3WMO3XqsBL6u3bv0vGn1OelN6sX/aYvzOOePXvl4K49kjVXdkmmpiXf8V7a/v0HlEd0h6YeOkxRGVbKiBr03bVrux6oncJU4M6aNYvyX4jS/ZCc1H5w/Cj0TpM2jWTLnkPSXDskiwUnrL9hZ4UwbwgT//Y0cZ1ykuwChUfZHk7/D+zfK/NnTpakujCeP3PK3Hf+/DnVRo7KPq1DEZoxVAU17OxU2nGtluWcq5pR35U8RUo96PuoOb/3khbL4doQXWDpH6erl7mrlI4pJKxPenbqce0vZj009NSCHA0IUGDjmsMXq1evNmaGd4nL3377zZSTqF+3nnTv1l0K5i8g07REYLcub8pnH38m9yow3qGVvngvtGVcLPqeRyIcU7odVxmGx1mooR3yRaFjtHHklPny5LkbfBh8kSxZYkWWIqpFFDOMiuDSeYi/W7fmnjx5VvfyL1PhyKaFc/rqfv2ZaqqsDj99G2F4/vnnzY46b7MBIWaLLh8aVZfRVphoagI4lYX4DkYEIBhksWLFzIABArb3YpZ4Nvr42WefSd++fU25s2HDhoWvEk4pebYIR+QjoThJ9ze7ypQJUySJnuZ+5eJlub/FA9Klazf58acfZaUWdt2nRFy1aqWk13JrzdVserNbV7mop8R3052DX2ttguQpkhuNiRJs1DSgyIrTHMRmggFXJodVkDL11Aqhujpg0kHrOxa5vajWe3xJunbuItu3bVXmOiGHDx6W1CokDz/6iJazf/U/KxUCNezLwTqxOeX2Ihll1eoVcuDgfsmaJas83aaV1KnVQMG2kxn7t9+OkdX//COvvvKaFmeeKO+8/7Yy1FUpVDCfpipXkT69+prrunXvqkJ4RMe9SwoVKKQnil+Qqdr/iuXKm1Pv2brd8bUuqnmmkG9GjVbaDzQAdLtumEqqx7TfU7u20XiWLFqi8/qezNbSc8mTppA69evK2/37SW6tOBV+cLMC3oa1y+TjjwfKgj/nSJasWogmVRp5VUv3V6laS0YMGyoTxv2o5EwkG9b/q9WqcmldzIe0XH8nLbx7Qvr0edsUoobOfJhP752kzEXYwcfJjYr//fffm2MvAOhvx46Rgzq/HHudTg/2hpe+GjZE5s+ba/pfpkJ5IzR9+w8wcjBAz+DZu2e3ztkpeVl5PH/hO3Slf9cUutm3b6/ky5NXsufKrfz/spxToEvCIqzgO/TzQbJfF7RtO7aZgjrpFVC79+xthBQQo0//6NxgqqM9s0AiP2jh3uNBNjDrAb1PPvs0vApYI60ZCtAPHzZc1ql5yrOHDhlsihMn01odRYvp4WK6YxZZAKA+/fhj2b5jp2xSywGZhC8x6eABjg+ZMmWKLj6tbpBjDw0j0bUS6an1wqlKgK06ccl1lTmhW3FLG6ZYuXK5DgBn5SUFj92mBB/VkKl2DFGp4YnW4TgzI1xKrv0RwaF2AEVIunfvrlrLPTcgGSiO5sKuPoQegWPCYIqyWnTEE/n4HqDCtAFgvFdhVkqYyrtGB33opww377eZ0rVHV52AO2XJX0vk808+0QPd1e5VRlo4Z660UKFu0+YZmTRhkvw8eqzc16ih/L1+nfz84w/y8CMPm6pj+EhGjhxptCtWPYjuvA+a4IcBxZkUQJLiKawmDykAMqZVOqlJEieV87pK/TVPq1DrM1o9/aRqNHnkh7FKp5mz5YV2bf8DGPPnz9MycBzr8KTkQRPTcysGDx4kr736uq4We2Ta9Elq1r1m+jJ12iSZv2CJYYAFC+ZKhXKVpfVTbXSl+ljGjf9O6ta5R7KqljR+4jg5deK0rlKNZMu2jTrXO6TDSx2kSOEi0rP3G/LHvJny/HMvmlW1f5++qj1clbYdXpJN6zfKzKnThZV369Zt0kvn9d+NG1TN7ycXz56Xjwa8I1204tTg4UO1eG5Y2Tk0qf7935M1y5dI334fGI2kd7du8s3ob+SuMpVkvwLAtrX/SJ4CBaWdbhFf9Oc8GfbR+1JFhWqwVuyePmOWAWkWG+pN4KeA/zzNZH7nbyyAAAUL0QnVtlIq0P+uYJY6dXotf3PCaNjwxJe64GTOHCr9FewWKw/+MmasnivSVIoVLSQ/jBkl589dkFr1a8nZ8xd1sekiK5Rn6jZqIjmzZZc5M6bJTJWfEroT9SNdULdubSkdFPxGDhqogHFIHlcgpf7nmOEj5LP0H8h9LR7UcffTUn/ZzLZ3KoJ/rIJcsWJFw0toF/QJHnEaGgPygM8v3LS69mWTpvcKH1rXNzrL6JFaJlNrbORUEBumoLVNge09PU/lcy3SM/7XCdLi4Qel6B3FZIyW2QSYkC223kMjR1HwlOMbTBKInlcR/NKls0aVSZMmuaqWacyR9ghh4cLFFBBOqi+gojLcn6pSpVPBvc1UIkKNwrmIugdDRuY4okYipcmwkyCUtzBDIAQNgoF+2J4IJMRE0FCbHA0G4eRYRpATwPDUbOiHcxSet4ZBZeffdXLz6wnvrds8bYhfvvL/ZL6u/t+q5lCwSFEV/MTytNqExUvfpTUKNsrfy1ZoafidMleBpKCuvghSiTtLGBD4+eefDWNy6A0gBUDUqlUr/P3YhhzwhGkAE0Pjy5c1QqToX0FXeN5vTC3tc8W7q0p3VQlZFQ/qyjR68HA5r/2VDNen7zQl8MePk4K6qqVKGaJMl1OZMbkK/PfSru2L8uwzL8kHH/dT4NsrKZKnlGUrl8ozTz+hZe63yt//rJfmzR+UTGqKFChQ1Ky806bN1HqShSWfagCl7rxLPnj/I/37TgWTCdKoQWNZt2GVFMhfVPvzl5w9d1Z+0FUxsfb3259/lFJqyl3QylIP71BHtkbXxikt1v2zWipXqy5363k1R3bvVVU9RBbPnSenVd13AIM5qVmztq6sOSRjpqwKELslNENa2bJpg4LJeSPE6dQs6Na7vzS89z75+ssR0kcFYab6a0zFq/uamRKR8AmrMWo6Zp+nSeKo81Tb5rgA/AHLli2VNKlSyNpVf0uzhx6Tyb+MlZMnjht6P/HM02pSpFF+yi9LFiyU0MzpZI3OfeECeSU0bQqpqgL4waeD5Iouau2fa6dC30L66Jwzlk/VV/Ll55/JGdU4E4cklyQK1JvWrtexXJQ6jRtJn34DTD8PqdCv/HuldFRtsrbyCH+j/gX1PFl80JQYA/9G6/EEDGp/Ml40ds+/ewo2Mjv399lSv3ETeVcBAi2eue7VpYvMUD8i5u5RBdcQ1QhbPPSQ0fgACBZu6vHee++9RpP3rkx+Q5TksJZK//ffTYoy5YxDpVy5iuF9YCVAxTlw4LAe4rJEwSJUV8HjOqDsZrB0HNUatap58+bXoitnjRB4CypC9a2WMuM+OuYZGXHsQwaIcFGiDGF88803je346aefmvNb+d0TGACFJhQviaDxfL739mFQbzGtguSGf9aJGpjmTgDmpK6cRe4ooba02qNJk0ieggXCnqqXXFU79KSWXduj5gWqeoFCYd9RvxQgAygWLFhgVjqnUjQMi73qOFwdBghXNfXdvJM+XtFrz148L5kyZwqfrBRqJycNYarC+ui0tVpP8rdpWkMy120yeOhnygBn9atzkiJViKxdt1qruLeWT9XR9+57AwyDpUuTSUsnPqSOsWHGrv5j7h/y5VdD5cjRM6pRnZYMoRmUadIqfbeotsHRgcmV0dLK33+vkD/mzJa9+3eqMB7VcnNJTV8RTKrD51FGN01ptXXTRsmUNbMcP3lC0qbLoBrBfHm1/YtqWh2Sc0qvCv+rJCmVd5xmzGAVNDSRx3W1y5Uto/pVzknhTFmUb/TMU2ViPv+rcjezY3hJS2fK9p3bJH1oCilYuGD4YoOGSX/gU2//BX+HP1l48I19o1pbqVIl5I4SxaS8mh3zZk8zvoVT2u+rklg1zaXyvmpEV5TvL14+o+B+Ro6dPKN8HqL9SWME7KICWuZMGRTsrkdWMqjmlDV7TvP+9Po7BYKT6AKaVhfeImqywbPww2X1maA9wi/8jYORKM2HNsEH+sInLMD4Bj0b2jQaNvzsLdAssnOm/2YWNbSJxk3vCw+1opEMfPc9ozm3bPmomtmrjPmycMliSaTAjKWArCB7vCMiE/4GHwYXJE581bygePE7b+gkncdeBij4vWzZCvrAFGp/LVIVeLBZ2fFlMFAcKxQzRW1CraJSkefLWWFZjRF6IhfOd4ASZg72FUcWoH3AlDgVAQmqJvN8nKDeDMHZlSAz5c5YRTy/B8xAXDQgHKM0B53LVq0sUydNls1qspRULQJH1z71G5QsqTZusiThzj3uyaiOx0uqEWS9LatU0vu+GvGV7Nq5S3LnyW2AEmLjZwEMeQ+MQWFkVgS+83RcMQ6EJUniJOo0O2ImP6eu7Pw9cbIUxuZ0rlfrXE6ew2l2HTAY019LV4iuPdL03uaqEZTWFTypnmuxTD78pJ8e+zBLKpSvKlV1G/Xw4UMkqZo7nTp1lrx5ish+pW+qFCHqwb9bVeoeslgZ5qOPPpTy5SpItbtryGcDB+jz7jTmQo8e3VTtnyztXnhVzanv1G/TW77RozEvqDqeL19+Oatgt0tt+tBMGU148tTZM3Je7yuoK+P+Y4dVo3laTZv71JF7RIZohGvfnv1y6Vr+DTRFy3r1tY5yp6rBA9UUuD1/PtUmeurKp6uzrqCYvKlC1VGqv9MAsfNKtxQpU6tGcM6sxCxA0BcNk58809MkMSXxVN1mHqAvq2g3NXtWriwhzz7bRmo3aCSfq8mdKk1amac81Lt3H2mi2sAwTTFYo4tJ/7699f1J5JJWBs+lC0Qune+wg5mPmjHv148juDuVHw6fPK68m0+OnVZNXbXCoiVKyrkLl9Vhm9ZcB1iYquGpU2m5vXFGfoiG4Lf4888/TRQQnxhyhoyw2HjyM8LMYouM4TshYEDD+TtA/Xjfjf1W/VfPqGaWRWUpjA9pf8yfK1dUxvMqwMPL/fu/I4mTJpZFWpuDKBIaP4s0NERGbwkYhnkV0c+evaxCesp01LPBoAdVkPbohBM9YfXEwfiJ2vuc2gRKMnEMDjTHKUMYC0FHgD1PcMf558SXa9asGU5siMSzmHAAqFmzZqbgKQ4hiLNs2TKjoqFaeiao8F76AUJTJg07zPN9jI3xYM5w/gPEoL/Yag0aNpTZ6l9op2ZRtx7dZZxO4LlL5+XJ1k/KZF29T2p825FTwlZ7DxyUlGlSS2UFwnETJ8pbPd8y58qiHgN09IsJ5Nk0Jh3Qcyo/8zcnrs6YOM+FPv25eKEUKFokLDpy4Yzs0MgCjCUhIidOnZTT+ndPwOG6+bp6J0+eVku/cVpWmBe/WrWaSrMxansvMSp906bN1JE1V8F2t/arpIn0VKlSQ/+2WKtWq9qrvHThAol0KdRHcbuh/ZFDpxWU85p+7t9/ULJkzCX16jbQg3nWK0MvVG3kiikAQ7QsV/7cxgSrX6eerlSL5IrG+EJUc2uoZ9EM1wjYZhXSRGrWEeVZos7yWhptS67M7jQEKJ2qyik1+pIuXahMnzPPaJW5cxdUmu1TQU0ma9Zt1lX3grnliGpip88n0eK55SVdaGZT3xITGe0CHoC3mGtvHwbjchIEn1YQe//9941/rHjxEmbO9igwHT95Wp99QUK0fznU5k+ePLWaYRsESdiqC9LW7Ttlp9KMftLvzOqgrVa3oSzTQ4lYHJn/SZOnqGNzt2S+LYdqGtnlksoNkYgzykQhqinCiwZsVGM5o3N4XueIxiILzwIA8DMLIHOMTNA8NQkEmvJ+lPyj9B/mOS4BfIi/6kLcSotyd3j1NdmteVXjFARKlysjuTUX5Mcff5SMuthxpGnPHj1l7YZ1JlCAkxWZIEKCnMOvyC1lAjkLxRM4PEySqyYsSDiFVdIbXRAwR7gRAr4HCBAUpwgqp0QRTuODPUQIFeH19k9wP5XGIYKnWcHvVBuHUDiniI6AuqAfk4HKRHwYh5Bnoy8UJGFVJ1LhHVLFpCEuj98EZy2EoaG6AlCEj7Br6RME6tmzp1StXk0ReZ6aLGmNukbDIVhdHYNUegYwuZ6wMNoBws9Eo+F4+m8YK/ShuKvjoOInUSQiO7yf72tpxARfDUxNSIyxk7lHYyWvpsDqKWio12heME26dNczb3kW5hsrFf1prDbs7Nm/m9UV2kHjZs3uN5m8rGysZg0VNClyi82+Zs0/uhpnUVqGrZot1D4ngkU+DCCP2ZUmTXrj2W/cuLG0a9fOMGr3Xj3krPowEEwYHwGg/iTMjNmJf+weHcPjCuieJ4hxLTQYMGCA3KfVt1kMWjz4qDkBbPmK5ZJPV+r69euF3wMYczDW3aq1tn76GRX6dQYoCM3Dc8wf4OHNAyxA+AjgFbQNhAbAANiZjwb6TPiECBCRgckaIfhVTRe02UzqW5k5a7YUUqdvKjVTmQeEHr5+s3s3U0Hr2WefNf9mlef5mVUwkSP6An/U1Ryj3KoBcV9iBdDSZUobwaxfr74sUi0d0MXM4B7mjSgF0Ua0czQK74YsAhr4byhG7PhtOrz6qqEhfOuY8W90fkPNqFRSVKNwnbq8oZGorFKjVk1ZumKZ4Uv4Fa0LXkImeDYLPmDMAu3pWL0hSoI6wieiBqMhvEwujQ5y5iQTgI0FITAZEFqAB1uRDkTUAJIhQ4b85ys6RkjUs4GgABOCh0BFVI2cPmCf1dZwnncRYr4DBAlhAhYm10EnFKZFOGFshALGAd2ZNBCX8aBB0SeHYPybMCiNqAco7JxTgUBgEtFXT2blfTh1PZNu6BMml+dJcc6YGSdggjnmPId38G5PrYl+c3o4AuQJ7vyOloWp5xzoi2bl2Th9vIs6v+grzAzIISg0gNrx0vMsQBGmYW5hZu7hd7RIzDyySxFgroHJh+vhxIyZe3GaAXx///23EQIWD97t2RyHNf4d5gfeoNYlVbG5ntWfhcgpZ4eJSz/wGfEeeJDze+FHTgRjhfROOOIdgADXMO/MLWDGM5k3/o1wMgaeyfwjNIyRhYa/oVFBG/4OKJlTz9TX4Bzghf+M6xk/fgnmimCAk5fjmWiIgD7zzDMmhMrvaNCEM2kILtoFH3iZCCLv8U75Rh7hH/rCYoAmwkIN+DuLMDRiQUODpW+AH6FY+g4fIy9oczybcTn1RZFz/g19vI+HjPLmszCTRVPKrjU6QMdgHtAd4eMFRCtY5f3ZYJyotFtVLEdgb5XlyXee3zNexzb0fLejUsJ8JJWx6jJR/BstxzMxhvuYnOjsvXEA2Hu83uEzmNgxe7yvvVnfva9D4/BuzKn3SXWABB+nOQLJ+HHWEQ2CB3DQIez4bRxgByC8QSKiuYzonc51CLLTGJu3E5AM4Vs15oB+eTYnF8j5mzdvIHiezdFqPe8DnFg44Hs0YHgBOrBAsCjd7AAv+uOpNTC3aAVOA8D50LzH6j1OZCMy+QAYImosjixEEbWbyfD/Afr1Cn1eD/8/AAAAAElFTkSuQmCC)
The important factors determining the shape of LAC and LMC are that whether there is increasing, constant, or decreasing returns to scale.
• At constant returns to scale AC will be same for all levels of output
• At increasing returns to scale the average cost with fall will fall with every unit of output
• At decreasing returns to scale the average cost will increase with every unit of output
Question 22.The following table gives the total product schedule of labour. Find the corresponding average product and marginal product schedules of labour.
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
MP – Marginal Product = TPN+1 - TPN
AP – Average Product = TP / L
Question 23.The following table gives the average product schedule of labour. Find the total product and marginal product schedules. It is given that the total product is zero at zero level of labour employment.
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
Given – Total product of labour is zero at zero level of employment
This means that labour is variable factor.
MP – Marginal Product = TPN+1 - TPN
TP – Total Product = AP X L
Question 24.The following table gives the marginal product schedule of labour. It is also given that total product of labour is zero at zero level of employment. Calculate the total and average product schedules of labour.
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)
Answer:![](data:image/png;base64,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)
Given – Total product of labour is zero at zero level of employment
This means that labour is variable factor.
TP – Total Product = MPN+1 + MPN
AP – Average Product = TP / L
Question 25.The following table shows the total cost schedule of a firm. What is the total fixed cost schedule of this firm? Calculate the TVC, AFC, AVC, SAC and SMC schedules of the firm.
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)
Answer:![](data:image/png;base64,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)
The total cost given for 0 output is Rs 10, it means the fixed cost is Rs 10
SAC = TC / Q
TFC = 10
TVC = TC – TFC
AVC = TVC / Q
AFC = TFC / Q
SMC = TVCN+1 - TVCN
Question 26.The following table gives the total cost schedule of a firm. It is also given that the average fixed cost at 4 units of output is Rs 5. Find the TVC, TFC, AVC, AFC, SAC and SMC schedules of the firm for the corresponding values of output.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAKHCAYAAAAfXm9pAAAACXBIWXMAAAsTAAALEwEAmpwYAAAYTUlEQVR4Xu2dDdBuVVXHtcAEs5RU8ANuKDAlpBSihIwMOk2ZhGGDKBA0pDOSX2WNBmnZRPkFGo1jzoTTm9JUo5jh92gOXvkYRflIMg31Xi6gSGBlfqAi9P9fz5F9N+c8a+3z/p/neZ/X/55ZvOfsvc7a6/zOOvucZ4Zz//e6l5sJmIAJmIAJmIAJmIAJLJ7AvRNT3pXwsUsDgWUAXcacDUhGXe/6kdEhD0wiYKCTsI0fZKDjbCaNGOgkbOMHGeg4m0kjBjoJ2/hBBjrOZtKIgU7CNn6QgY6zmTRioJOwjR9koONsJo0Y6CRs4wcZ6DibSSMGOgnb+EEGOs5m0oiBTsI2fpCBjrOZNGKgk7CNH2Sg42wmjRjoJGzjBxnoOJtJIwY6Cdv4QQY6zmbSiIFOwjZ+kIGOs5k0YqCTsI0fZKDjbCaNGOgkbOMHGeg4m0kjBjoJ2/hBBjrOZtKIgU7CNn6QgY6zmTRioJOwjR9koONsJo0Y6CRs4wcZ6DibSSNqoD+DLP4Wtg12I+wG2LtgR0/KbvygazF0R2Hfwza/HKn7Xl2E2B3bvwO7HLYDdivsOtjfwZ4O2w22kJb9xIVJfR32Mtj9u8x+DH9P6/r/qCHbaE4CPaCI97vY5jFl3wuw3wNlPh+FXQE7tDjuQGz/S3fsWUX/1M0o751xM04Hwe+bsD8eyeSkLs5xI+N1dzTnRThgv+KgIaAnY/wlnc9b8fe/YHvVE2GfF/0/YC8fGGvtivLeGS/jtAa/78AeOJIBv9jj7X/lyHjdnZmzPGYIaD/Oqr0T9rp6kmL/VGyfOGM8O5TKO+N0C2a8Jpj17RhnrL0DPw5n5izDzALKdZPxnpGYd70uki/p9kQWD4Z9Jcjm5m58S+CnHv7pLmA/vzr+LvGUT/lsVWU+2J3HSWfzW9fcCqB8GN0G2yfIpL/VtwV+6uHru4BRfpJ5FUCZyAdgPwt7wEhWrMpfhH0KxvV2ke2DmIwPJc4/1h6PgSeMDar7M7fKIZj0dtjYqwefoIxzbDK5zJxlqFkPJfq9BcY1/icH5n8Q+r4GO2NgrLUrlXfKCTM/C/YNGN/9+KBi468Tvg8yYb7wZ1t2zj5eBHQPOH4Edhns4CKJx2CbL/vvhd2n6J+6mco75dRlwNue1fCfsG0wgvwn2KzbbSj5ljn5bvtVGI/hz903DAVEH39a8tcTAXJdpXEJehFMARNhcq97LSfHoH27Hza2w/4C9lBYy9N96px3z76crVTeKaeR/B+L/ptgjPGXIz5D3euZcyjeovpSeaecZmTM9YsPpSfP8KmH1jtnHW9R+6m8U07ijJcxp+IUJD89FYlsmhiqF/tNA2S9J2Kg6yVYHW+gBiomIA7nCjVQMQFxOFeogYoJiMO5Qg1UTEAczhVqoGIC4nCuUAMVExCHc4UaqJiAOJwr1EDFBMThXKEGKiYgDucKNVAxAXE4V6iBigmIw7lCDVRMQBzOFWqgYgLicK5QAxUTEIdzhRqomIA4nCvUQMUExOEyn7qs6v/vLkalC7cMoMuYU0HMHy0oKJYx/FASEzVQAxUTEIdzhRqomIA4nCvUQMUExOFcoQYqJiAO5wo1UDEBcThXqIGKCYjDuUINVExAHM4VaqBiAuJwrlADFRMQh3OFGqiYgDicK9RAxQTE4VyhBiomIA7nCjVQMQFxOFeogYoJiMO5Qg1UTEAczhVqoGIC4nCuUAMVExCHU1foFuT3MRhVY34omxIo9ZQ+CnvYgkg+AvPwa5Ehq5XHuP83sM/BqOFJ/SSKpMqbSr6WYqPPgz0J9nrYEfJMhwP+G7qH9DoplNU3fot1EYyquBSkov4oFWkvhh0Ko4DqQlvmmyEm3Vf7O7C93ls+MycrlFp4UTseDoxHmbe+3Rcb/wt7TdGn2JR9p8SEKaS3EdtvIClWIfWU+0b9PMqpcUzalGuoNLFksIfD7x9glEXj+vg22KOrY3mbbxuIx75HwqhMJmurDJQS6GznwA7vjHfKJ2BUGutbr4pYdO3cpF4el6q96oH17K8y0C/jxH8ORqE+NgLig/HbsLO7voX/WWWgQ7Cogsu1snzLuBX7vd59ecxPYIcVTcVFWVtloBQ9HZKP5FLwowUhvlpxrazb/uj4Iqx8xap9mvdXGeh5OFvqwpeN78N8PaLWZ9/eiQ2qix9c9NGPWqMXFn0L28y8E5bJLOo9dA2TUpB1Szc5q5KQvwvjD4y+8cGzFVaqy74K+1+CEbSypVilnJAVFWe3w3gL3dFtl5XSknhmTj6Q3gj7NIy39Q0wCksfNTARf3qeD+MF4E/P98EOGvBbb1cm75w87XozqY5PJSaeUxFO9ktJkcymiLHKD6UNeQEMVHxZDNRAxQTE4VyhBiomIA7nCjVQMQFxOFeogYoJiMO5Qg1UTEAczhVqoGIC4nCuUAMVExCHc4UaqJiAOJwr1EDFBMThXKEGKiYgDucKNVAxAXE4V6iBigmIw7lCDVRMQBzOFWqgYgLicK5QAxUTEIdzhRqomIA4nCvUQMUExOFcoWKgVp4VA82EW8Y3Q8uYM8Mi8vF3ShGh1nGvoa3EAn8DDQC1DhtoK7HA30ADQK3DBtpKLPA30ABQ67CBthIL/A00ANQ6bKCtxAJ/Aw0AtQ4baCuxwN9AA0CtwwbaSizwN9AAUOuwgbYSC/wNNADUOmygrcQCfwMNALUOG2grscDfQANArcMG2kos8DfQAFDrsIG2Egv8DTQA1DpsoK3EAn8DDQC1DhtoK7HA30ADQK3DBtpKLPA30ABQ67CBthIL/A00ANQ6bKCtxAJ/Aw0AtQ4baCuxwN9AA0CtwyqgFIX6axildSjH8xnYm2D7tCY0wf/ZOOYSGLXpqOD1cdgJRZwWhdoJ0+96iEp59gKEpeDTE2AU26PwE0VML4dR94iqr/NoZyIotTmfDrsJRkk1ylIeDXt7MWFGobZwn+9m5puhq5ECZXHLxhPlsSdPSC8zJwWmqO5Vz7tv1ZdVqJ2Q5j0OuUtVoY9HaGoOl40Vy/bAXbtle6ch0s0wXsyyUfmLtpSmWkNrmDyZXqKMit7zaEci6OdhvAMuhX0WxrWUa2rdMgq19TFz28/cfvXk/IaUJ8e1dUrLzEmYXJu3wh4CY3GcBKNG8/OLSR+KbT4oD+v6qOf5VhiPLRVqi0Mmb2bynqRJ93tIiYKl1N6c0jKJ3YjA9HtcNQHVESmOWmp71jnsiY7bYO+uB9a5n8m7GegzkdR1MD4MprZMYnxFYzXWYqlno4/HHxBMzqVIrS0v/3iWT/Y/gz0FxgqaZ+OayaWl/kS9F6Hunw9Zhdp55rpL7Ey18IBnwChJvl9xNNVd/2RCppk5T0fcoVuearK8nftbfg3bz6lyoPLsLbAPV/3r3c3knbrlCfNbsLNgpxT2WmyvTcgyk9juiMtXpg/BuCay8c7gu2n5UFrDfkah9vsR1vffTN4poDuQB4MNGU+otaUSQ1D+ImN8zs+74yoYL2jZWhRqq0Obd1N5p5yap559wDLmnJ1RblT+UMpNu4m9VL+UNjGitlMz0DZeobeBhojaHAy0jVfobaAhojYHA23jFXobaIiozcFA23iF3gYaImpzMNA2XqG3gYaI2hwMtI1X6G2gIaI2BwNt4xV6G2iIqM3BQNt4hd4GGiJqczDQNl6ht4GGiNocDLSNV+htoCGiNgcDbeMVehtoiKjNwUDbeIXeBhoianMw0DZeobeBhojaHAy0jVfobaAhojYHA23jFXobaIiozcFA23iF3gYaImpzMNA2XqG3gYaI2hwMtI1X6G2gIaI2h/qzvqGjV/UTl6Fz2RB9ywC6jDkVsP2dkoJiGcNrqJiogRqomIA4nCvUQMUExOFcoQYqJiAO5wo1UDEBcThXqIGKCYjDuUINVExAHM4VaqBiAuJwrlADFRMQh3OFGqiYgDicK9RAxQTE4VyhBiomIA7nCjVQMQFxOFeogYoJiMO5Qg1UTEAczhVqoGIC4nCuUAMVExCHc4UaqJiAOJwrdIMCfRTyOhd2ZWfUL/oI7BhxvmU4CggOyQ31fb3G0koqzz4VJ0f5xyfBqGZIta1zYO+HHQ6jauE82usQlKqyZXsadrbAvll0rpzy7PFI/ozqxPrKeGnVn9nNfKf0KgR64kCwT6Lv1KKfeVBWeBEtk3dK8Wso2UejkxOcPjQY9KUSG4jBu4F6dPctxjYF0P1xQhTQo9QjBfVa21Sgb8FEXGrKRqBccihCfQWMUmtvg/GCq1sq75RTl9mB+NsLmL4T23tPzLhlzn6KB2CDarLMoWybQnl2L5wR9eYp9Vgrw1bnO7g7BeiLEYkKipm2Usqz/QnxSc8n/mWZM6x8pgClEi3lMLNtQyvP7oGzqD8VpwIs165fyJ7hOvz4vksR6YsGYixUeVb1S4m32tArzL7o/+rASaq7+Mp2PuyOgcDnoa98jaILH5SHwPhDZOEtc/tdgqy2wihL3rcXYoPHzus9tJ9nH2xQ9ZZP86G2hs6VU549Ckkz8X+HXQP7DIyAT4BNaZmL2Md9OTbeNWMSK88CTgvQGSwXPuR/0UGNXPVQUue1svEMVHzpDNRAxQTE4VyhBiomIA7nCjVQMQFxOFeogYoJiMO5Qg1UTEAczhVqoGIC4nCuUAMVExCHc4UaqJiAOJwr1EDFBMThXKEGKiYgDucKNVAxAXE4V6iBigmIw7lCDVRMQBzOFWqgYgLicK5QAxUTEIdzhRqomIA4nCvUQMUExOFcoWKg9eeEQ+FX9ROXoXPZEH3LALqMORWw/Z2SgmIZw2uomKiBGqiYgDicK9RAxQTE4VyhBiomIA7nCjVQMQFxOFeogYoJiMO5Qg1UTEAczhVqoGIC4nCuUAMVExCHc4UaqJiAOJwr1EDFBMThXKEGKiYgDucKNVAxAXE4V6iBigmIw7lCDVRMQBzOFWqgYgLicK5QAxUTEIdzhRqomIA43Lwq9B+RJz88oGaRW0Wg9YuMIzuY6wGanZOyQ/8K+wJsO4zCrLUaInWWGG/IKAyobHftpoyGWPzu6fWw98COFceuw1FhjHLBr4C9BtbPvRXbPw+7oThg5ZRn+9xP6k7yOfg77wqlbNsOWLls3Q/7X4O9uYDJCl2Y8qxyDaXa65/Dfr84mXluHobgVBa7s5jkG9jm7X/cPCeeFVsJlCAp7XjVrAmFY4RHqcu6ETDFUami2LeHY2MRyrN1LoP7mQcEhfZuhj2si7CIW56Sk1+G7V5k3d/yzLkX/VtJ5VlqEr+yOLFFAD0U830HRi3k+8C45HDt/D8Ygf4UbKzNTXlWccs/Fln/Euy1Y9nPqf9qxH0yjK9JVGu8FHY97HwYl4P/ho01as9fCztizGGe/dEt/weYnBrI2wu7Fds87qau78TGBKM5Z4W7EIMfLhzGlGf5yqUWcU3lnXKqznARt/x+mJN3R9m4hhJSeQHXsM98ykblWRZBCb5ymbSbYpVyqqZfBNBTMCcFpqkUzsZ18QLYP3f7/Z81bKyc8myfPH+9bIfVtzxPtqVlLiJFrFlhXDe5nn4KdiasfOpzTivPAkIGKGFttOZ/0UF9RRSvTeqcVjqegYovn4EaqJiAOJwr1EDFBMThXKEGKiYgDucKNVAxAXE4V6iBigmIw7lCDVRMQBzOFWqgYgLicK5QAxUTEIdzhRqomIA4nCvUQMUExOFcoQYqJiAO5wo1UDEBcThXqIGKCYjDuUINVExAHM4VaqBiAuJwrlADFRMQh3OFGqiYgDicK1QM1MqzYqCZcMv4ZmgZc2ZYRD7+Tiki1DruNbSVWOBvoAGg1mEDbSUW+BtoAKh12EBbiQX+BhoAah020FZigb+BBoBahw20lVjgb6ABoNZhA20lFvgbaACoddhAW4kF/gYaAGodNtBWYoG/gQaAWocNtJVY4G+gAaDWYQNtJRb4G2gAqHXYQFuJBf4GGgBqHTbQVmKBv4EGgFqHDbSVWOBvoAGg1mEDbSUW+BtoAKh12EBbiQX+BhoAah020FZigb+BBoBahw20lVjgb6ABoNZhA20lFvhvBqBbcI4fg90YnOtChlVAF6nuWoJ5Fnao1NiLCw5BexQ6z4Vd2Rm1laj2dcyAM3m8DEZ5S4qrXgH7lQG/dXVlPnEh0GtgFI2qrdY3yiSTmZOqXRfDqPz1DthYhb4AY1+CHdBNTOnKN8Buh1FrqWxnY2cHjLKVbE+DUUjw6G4/+pPJO6VtRKBKdddMYvxorb/DZgE9Hn5nVCT6O+qlRT+lNL8N4wUo2wex8/Gqb2xXro08NtE8+gk9A76WVGMuvYgqlcn6diw2KGfJ5aBs3H81jBdh7C74gb9qDWXADaXuuguSXXf2x+5fwbbC/r4Yeky3va06tt/vx2eE3lWoeaZjMPi9bvwc/D28M1bPJ2C1smEQam7DByIyK+yLMApSPxPGW7xvD8LGHbBvFX3cpC/bLOHVHxyiqlBK6nKBp9AeG5N4HowJc6HfCO06JMHblmC+Avs07HHqxFRAh/JaqrrrUEJdH3U/+eDhReet3zeup7vBKAlctn69va3qH9xVAR1Td+VSMKSwPZjMnDr3QNz6M3bmxQqllGXf+N7J9si7u3Zucc1l68e73eE/KqDnIfyp1RR8TzwExhfqZbYPYXLqjdZtX3SwWvv2HmzwnbN+4ec+nwXhE76INXMz82qyhghKddfMnGXSs95DL4Ejn+gPKQ54IbY5R/keymGu99fD+l9eT8X2Ul7s1equWaCUYd8Oo1o3n9Dcru+Io9C3BqPCN3/N8WclAZ8Aqxvv2D+EUSKYt/gnYYSabam8U07ZGZN+y5gzmdpMN/+LDjPxTBhUPZQmTL05DzFQ8XU1UAMVExCHc4UaqJiAOJwr1EDFBMThXKEGKiYgDucKNVAxAXE4V6iBigmIw7lCDVRMQBzOFWqgYgLicK5QAxUTEIdzhRqomIA4nCvUQMUExOFcoQYqJiAO5wo1UDEBcThXqIGKCYjDuUINVExAHM4VaqBiAuJwrlADFRMQh3OFioHWn+wNhV/VT1yGzmVD9C0D6DLmVMD2d0oKimUMr6FiogZqoGIC4nCuUAMVExCHc4UaqJiAOJwr1EDFBMThXKEGKiYgDucKNVAxAXE4V6iBigmIw7lCDVRMQBzOFWqgYgLicK5QAxUTEIdzhRqomIA4nCvUQMUExOFcoQYqJiAO5wo1UDEBcThXqIGKCYjDuUINVExAHM4VaqBiAuJwm6FCt4DJplOe7a/zs7FB/SJq01FMj3qYQzI7qrrIKM9yriNg1Oek9A+Vvig4NZTX59HPL1Bq+3X0yVr2E5czMSP1h3rVVmpkXgh744RMMnNmlWeplvh12Jtg/R3529jmHMdVuRH4KQNGccBMy+SdEiM9CLN9F3ZoNStlyuo+VWJZ5dmXYEKeaK8t189/CzZKXU/2X5tJboaPTHn2NExyM+zqarIbsE+bR+tvyyg2lcDYqIhYNooP9nqk1dD0XdVD6UikwPXnZNilsM/CuJZyTV12uwAJMLdXwqigyHOmQncvOl3mx7FzYZfDqLFHvedfLR0U25l1gQlzndoKo5geEzsJdifs+ROSyMxZhp0l8kc/KnxfDKOqLPU5KZrKIqjbZejgg475U3WcufMcnls7juyn8s44UaKRfrWS63vRRwHSVm3PzJzlOc0CSilMKuOy8vggIyxKZlLINfP0ZpVSrpKAo5bKO+NElUFeST7Zy0ZZRx5/QNUf7WbmLGPMAnoRHAm0vqjvRx/X/aj9KRyYz8GRI/1UayjXTD5168/F+0VfNU/inO7hQonML8DqBxDXyL0740FcX3/8HkfffVx9QQZcderd7+6iM/my8Xbj7cITWlbj6xHX0Ppib0EfxbD/p0vsRPx980CSh6GPuqG8AJKWuf24vvCVibK5e3azPgV/+W667IfSbyIHngOf7H37ZWzwdaoUm/4t7N8OO+Zut52S6VzKzir6Zm1mWKVe7DnJg2FrsB2wz8GugvFXx5SWSgyBM8qznP/XYHwD4VrPl3fmxgtdvpvy9n8FjL/2qDrLn878CX06LNtSeaecsjMm/ZYxZzK1mW6yh9LMWX6YBpf59N2UnA1UfFkN1EDFBMThXKEGKiYgDucKNVAxAXE4V6iBigmIw7lCDVRMQBzOFWqgYgLicK5QAxUTEIdzhRqomIA4nCvUQMUExOFcoQYqJiAO5wo1UDEBcThXqIGKCYjDuUINVExAHM4VaqBiAuJwrlADFRMQh3OFGqiYgDicK9RAxQTE4VyhYqD112VD4Vf1E5ehc3GfCZiACZiACZiACZiACWxKAv8PFICddnSrtGIAAAAASUVORK5CYII=)
Answer:![](data:image/png;base64,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)
Given – Average fixed cost at 4 units of output is Rs 5
Therefore, Total Fixed Cost for 4 units will be Rs 20
As we know that the FC remains constant so it will be Rs 20 for all levels of output
SAC = TC / Q
TFC = 20
TVC = TC – TFC
AVC = TVC / Q
AFC = TFC / Q
SMC = TVCN+1 - TVCN
Question 27.A firm’s SMC schedule is shown in the following table. The total fixed cost of the firm is Rs 100. Find the TVC, TC, AVC and SAC schedules of the firm.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF0AAALhCAYAAAA95qjkAAAACXBIWXMAAAsTAAALEwEAmpwYAAAfiklEQVR4Xu2dC9BfRXnGacELxmCbRKSAIOEyLeGmg1QsSlFbiUHbwKBWUKeIM0VwxtqOpLZTtV5Sb6VQqnYSx4yC9qZtvQGjZSSlVCWioFAFakIUKrcUokBQ0D5P2B0365789zvn7P/5vs9nZ96cs5ezz+7v/549e76Zk3eXXZxMwARMwARMwARMwARMwARmG4FfqBjQTyrauMnIBBTQFZojY+vs7ie/2FnlimYEDL0Z2u6ODb2bTbMaQ2+GtrtjQ+9m06zG0Juh7e7Y0LvZNKsx9GZouzs29G42zWoMvRna7o4NvZtNsxpDb4a2u2ND72bTrMbQm6Ht7tjQu9k0qzH0Zmi7Ozb0bjbNagy9Gdrujg29m02zGkNvhra7Y0PvZtOsxtCboe3u2NC72TSrMfRmaLs7NvRuNs1qDL0Z2u6ODb2bTbMaQ2+GtrtjQ+9m06zG0Juh7e7Y0LvZNKsx9GZouzs29G42zWoMvRna7o4NvZtNsxpDb4a2u2ND72bTrGZs6L+KkX4IthH2Xdh3YP8KO77RDI4J/W8KWtS9BPbHsF8Kmq/CkWN5CMav9p4eykuHfVD4YDBe86Ks0WLkV8Ouh22GbYF9FfZXsF/P2g7K1n5e+DtQ+QHsXNjCoPgYHF8Zyv90BqOo0Twa/f0Q9jYYdZgWwN4O4/XPCGXxcHMo/5esPM3+dWjzxUKbQ1HGH+LDsF8J9XTaZ8NuCNc9s3BdXlQzt+0TmJQOQYP7YX/e0fBlKGc/ued0NK/SvAAXfx9W+gD5v1Fegv4ZlP8Ytqwg/ESUfRN2LSyHzh/1Rti/w0p6S1HOO+k42KRUw7MKwDoo0et+uUORA+VSc01HfV5cM7ALd6L5ZNTtnnVKT38W7GHYxbkg8u+AvRa2AZZDPwNlHNOKwnWx6N044d0wKdXMrQr6HVCih+ws/RMqKfiknTUKdTUD43LGdv8Few5s0vOJ0PeCfQxGrzwQFhPXf3oyf6gS9H9EObUW/fSS3mejfDH9OMjz1rx9wjC+F+r3n9Cutvrf0PCNsKNgvO1vg30I9jxYaQmI/dKj+QOtigU4ngP7IOyBpCw9fQoyP4LxwTmVNMnrCJ1tLpswmr8J7Wqe8pM0UykuaWfBPgvjzoPXroflXhk9ndfyB2PbfWF8+NLL48O/5OlfDu157dBUNbeaRndhJJOWl3iL7lkx6hrNUjfc0nFt5fXnZw1S6Nxqsg13K38Ie0vStgQ9Lo1dz6xMaqfZqrnVNLoIMnyQxr1xrhofpJxQTarR5O7kqR2dcfdyVVaXQmfV52D3wejl6V1Rgv77aMMxvSDrM82eiMxBO6mPVTVz2y42KR2GBttgf9bR8CUoZz8nddTnxTWab8ZFf5dfGPI34fjJrC6H/puopw7vjDSVoD8aDfhDXpq1jdnn44Rb0anuXij+Uhg95/UwrvNMj4KdBtsK40tTbaqFzruLunHnwt3Hm2EEsDwTy6Gzmm+ne2TtStDZ5GDYZtgaGDcOTLyDXwjj8lr78lcztypPD2PY5ddwwl0Ab9mNMML+B9ixsUHlsWZgT0FfnOiVsE0wvgfcCeOyQc+LiVA2wbj7YJt0/f5pq0f+VMF28c8APD8+bYBzPjPeBeNLFOtpn4fVvvShaR3PGgDsLE/cFWyCcYvG1+adbePya/tq5v3MxnzV3KoadczuSJTfCmMf3CnUpiGatRqqdlVzq2q0kxlwneWDlG+NtWmoZq2Ool3V3KoajTx6hebIU+jsbpQ/A3T27ooygUl/JCpf5dJBBAx9EL5+Fxt6P26DrjL0Qfj6XWzo/bgNusrQB+Hrd7Gh9+M26CpDH4Sv38WG3o/boKsMfRC+fhcbej9ug64y9EH4+l1s6P24DbrK0Afh63exoffjNugqQx+Er9/Fht6P26CrDH0Qvn4XG3o/boOuMvRB+PpdbOj9uA26ytAH4et3saH34zboKkMfhK/fxYbej9ugqwx9EL5+Fxt6P26DrjL0Qfj6XWzo/bgNusrQB+Hrd7Gh9+M26CpDH4Sv38WG3o/boKsMfRC+fhfXfGY4n7//6UdtClcpoCs0p4Byu4Q/9JoW6VTHa7qAuqEbuoCAQNKebugCAgJJe7qhCwgIJO3phi4gIJC0pxu6gIBA0p5u6AICAkl7uqELCAgk7emGLiAgkLSnG7qAgEDSnm7oAgICSXu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7qhCwgIJO3phi4gIJC0pxu6gIBA0p4+x6Ez6i5jdX4LxoCpn4ExhqdTDwI1nxfye9T1MAbXfgyM+XfCGKExBkydiXSN5kz6m01tq+ZW02glZsV2DHsc02Nxci+M8GeaajRn2udsaV81t5pGDOx9R2FWl6CMYYZnmmo0Z9rnbGk/2se7R2BGGwuzYtlSGKPwOgUCY+1elqA/xpPOE8u4vqch4vM2P3f53ebojDnuxydjZ9BuRnKfE2ksT2cI94WFGTM8PNfnLYW6IUXPw8X/l9jHh3Q27WvH8vTrMPDfLgz+AJR9Gza2F34RfT4r0eMPMK9SzU7iZMyY7ZYlM+d+/R6Yt4w7ukMNz+0wJ6X4csS30EeHxqtxvA3ml6Md6dXwrILObvlngLWwG2H8MwDfTg/ZUa86VzWw6t5mV8OquVU1GnleCs2Rp9DZ3WgvR50KrvhZAmNtGX+2Z5d0EjD0TjTtKgy9HdvOng29E027CkNvx7azZ0PvRNOuwtDbse3s2dA70bSrMPR2bDt7NvRONO0qDL0d286eDb0TTbsKQ2/HtrNnQ+9E067C0Nux7ezZ0DvRtKsw9HZsO3s29E407SoMvR3bzp4NvRNNuwpDb8e2s2dD70TTrsLQ27Ht7NnQO9G0qzD0dmw7ezb0TjTtKgy9HdvOng29E027CkNvx7azZ0PvRNOuwtDbse3s2dA70bSrMPR2bDt7NvRONO0qDL0d286eDb0TTbsKQ2/HtrNnfnQ7Kc3nzwsnzV1Wr4Cu0JwWYH9HOi3SqY7XdAF1Qzd0AQGBpD3d0AUEBJL2dEMXEBBI2tMNXUBAIGlPN3QBAYGkPd3QBQQEkvZ0QxcQEEja0w1dQEAgaU83dAEBgaQ93dAFBASS9nRDFxAQSNrTDV1AQCBpTzd0AQGBpD3d0AUEBJL2dEMXEBBI2tMNXUBAIGlPN3QBAYHk2J6+P+bwH7DvCuYyZyTHhP5SzPoK2N5Tmv2+0OFXeCVjmM40Mb8G9i0Yw3YyburBOzbZniOPc2E3wBhN+GrYidtrppxqPi9klN0vwPaD/TNsqKfXaBL6tbDTC/YolMUUA9QyPirHyTyjAd8KywPUvg1lm2H7hItX4PhD2PEhP8ahZm5VQWA5kXjXTBP6pRUUVqINJ3pY0vaxOL8XloZi3gv5B2HnZH1ehvyXsrIh2dG+I+WkfjxkJA2vPQV93wn7RqKxDedXwVgX00k4Yajmy5MynjJ/DIx31ihpzDV9lAHNsBMuAx+Dce3lev0R2KFZH0cgv7HQL8uWwhaEOrZjytvGfKwPzfof5jL0h8O034Pj04Pxjvsy7MgEyRKcby0gYhmXxUWhju0egj2QtY3XLi700atoLkP/X8z4cNhXwswJ5w9gXJf5QJy1aS5DL0G9H4Vcu5+RVN6F84WFxnugjHfGllDHdrvB+JBNE9sx3b1jcf/cXIb+BEybD748cdnZNSnkfptrd54OQMG3YfeFCrZjytuyHVOsD9n+h7kM/XxM+xXZ1LkP59bwmqT8EzjnfnxZUsZ2x8I+npR9Gufck5+QlPGUeT4nhr57ZN3uPMtbcCZpWvv0dRjUjbD9w+Do3fwhfgR7djLg+HLEt9B4Z6zG+W2w0svRLSiPb9XLcT5rX444xw/CNsF4u3IXwPPU45CtTjU/NB+iF8K+DuOt/x0YX2SOK6jwzwBrYfyR+GcAvp0eUmjHO39VaMM+N8AIfsxUM7eqN9IxB8W+qgY2tuiU+hvtjXRK450fMnP5QTpnfwFDF/x0hm7oAgICSXu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7qhCwgIJO3phi4gIJC0pxu6gIBA0p5u6AICAkl7uqELCAgk7emGLiAgkLSnG7qAgEDSnm7oAgICSXu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7oAOj9snZTm8+eFk+Yuq1dAV2hOC7C/I50W6VTHa7qAuqEbuoCAQNKebugCAgJJe7qhCwgIJO3phi4gIJC0pxu6gIBA0p5u6AICAkl7uqELCAgk7emGLiAgkLSnG7qAgEDSnm7oAgICSXu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7qhCwgIJO3phi4gIJC0pxu6gIBA0p4+h6Ez8Or7YQw7yVCVN8DeB9ur4ZwORN/vhTH8Jo1hLxluPg/iyiEwNOYaGCOuc4yMTXowK7JEJzwXxvEzNCajtJ+YN5pGvubzwq9hIIzxGeMxM7gqA25vhD2+xyBrNM9BvwzkelDon0Fgz4NtgzFWaUwxCCzHx4i7zL8TdiusFAR2M8r3CRevwHHWBoEl9KPCQOPhFJwQ3mlZeU22BvpKdHRW1tm+QfMNSTnbsT/ejTExePe9MMKPiXclI7Hzx0wTA8t+KSsbkq2ZW1VA1lKAbcZwpkA+iZoBVw2s0NGhQfOMpO4inN9RaHsJym5Oys8M17KPNHG54Xj4g46RRvt4l7dgnmI44Svyikb5A9DvBbD1sIsTjSNwvrGgybKlsAWhju2Y8rYxH+tDs/6HVrsXrpuvhnHyfLC2THwgMtI5w9Fvhb0YxmUipiWhPCnafsq2HOeiUMF2jI39QMjHA9sxLc7Ke2dbQX8dRsQdw9m9R1Z/4U1oylufUG6H8Uc+uv7y6bdsAZ2e9hoYt1p8WE0rbYEQnx/0TC4zMd2Fk4VJPp5yp8W1mtcxsd1uMD5k0xR3ZHdn5b2zY0PnjuWtsOfCeMu3TLuj8/y/TnkYZfT0pyXC1+Gca3ee+AzgknRfqGA7prwt2zHF+pBte6jdSZyMYfDlY79kONzBvKnH8Go0r0S/xxX63oAy7t9j4rjY37KkjPv1e2ClLWO+JF6KdrNyy8iJ8QH0Rtjpib0L5+tgM0210LlT2TPp/LU457XpPp13A9vxLTRubVfjnD9M6eXoFpTvDWNaDpu1L0ebMThOtmTrHhn/jP6tgU4vZ9/Xw66F8dWdcE8tKPGhvhbGPxXwzwB8O41b2rQ5l9tVoQ2XE941BD9mqplb1cvRmINiX1UDG1t0Sv2N9nI0pfHOD5mxdy/zg0rjWRh6Y8Cl7g29RKVxmaE3Blzq3tBLVBqXGXpjwKXuDb1EpXGZoTcGXOre0EtUGpcZemPApe4NvUSlcZmhNwZc6t7QS1Qalxl6Y8Cl7g29RKVxmaE3Blzq3tBLVBqXGXpjwKXuDb1EpXGZoTcGXOre0EtUGpcZemPApe4NvUSlcZmhNwZc6t7QS1Qalxl6Y8Cl7g29RKVxmaE3Blzq3tBLVBqXGXpjwKXuDb1EpXGZoTcGXOre0EtUGpcZemPApe4NvUSlcZmhNwZc6t7QS1Qal+WfeZfk5vPnhaX5zooyBXSF5rRg+zvSaZFOdbymC6gbuqELCAgk7emGLiAgkLSnG7qAgEDSnm7oAgICSXu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7qhCwgIJO3phi4gIJC0pxu6gIBA0p5u6AICAkl7uqELCAgk7emGLiAgkLSnG7qAgEDSnm7oAgICSXu6oQsICCTt6XMY+oEY+3th1wRjCMrLYSc0nNNh6Pv9MIa6ZLRdhsZ8H2yvgiZDY66BMUgt2zM2KQOC54lOyJD17IuhMa+GMWzz1FPN54WM7cygqgeF0e2K43mwbbDDe4y4RvNr6JdxRWMMaAZ0/QpsI+zxiWYMAsu2jLjLPCPu3gorBYHdjPJ9wvUrcJy1QWBXYnBnhYHGAyOcE14aBTdr0pmthX5U1gNjXPPa05Jyjo1lvDNiYvBuBh0vhTumA6XpMmRmZbjjbJzbs4fCONkzSpUTymqgx9DFaVeMac1rU3AXIX9HQe8SlN2clJ8ZruW408Tlhn3SicZIzT7eZQTyC2DrYRePMdJCH7zt8xRDGF+RVByB8415w1C2FMcFoY7tmPK2MR/rQ7P+h7F3L3w4MXQ9Q8Nvhb0Y9mD/4c3oSq7Vr4bxR+aDNaYlOOFY8sQyXrMoVLDdQzAGKE9TvHZxVt47Ozb0mzAS3oYc4O0wTv7o3qOb2YWvQ3PuUvIQ9DPrZQqtx4Yeh7wFJ1xX6SVcZlon3lGvgXF7xwdkmu5CZmFWxix3PVyrOVYmttsNxodsmuLu6O6svHd2LOi7YwT5f2PyMMro6U/rPbq6C7ljeSvsuTAubXm6DgVcu/PE5w6XwftCBdsx5W3ZjinWh2zbQ81O4koM4bjCMDagjPv3maYaTfZ5MowvPPslAtzBvCnJsw37W5aUcb9+D6y0ZcyXp0vRblZuGQmdO5U9k4m9FuecbKt9OmHyofdG2OmJvQvn62Ax8Q7k2PgWGreZq3FOZyi9HN2C8r3DxctxnLUvR/TydbDrYdfC+BrNiZ4K65NqPH0zOma7kq3LRPmAXQvjnyf4ZwC+ncbtZdqUy+2q0IbLCe9Ugh8z1cxt+6SmnRSa05pjs5ejaU1gTuqMtXuZk5NXDdrQBeQN3dAFBASS9nRDFxAQSNrTDV1AQCBpTzd0AQGBpD3d0AUEBJL2dEMXEBBI2tMNXUBAIGlPN3QBAYGkPd3QBQQEkvZ0QxcQEEja0w1dQEAgaU83dAEBgaQ93dAFBASS9nRDFxAQSNrTDV1AQCBpTzd0AQGBpD3d0AUEBJL2dAH0/NPy0hDm8+eFpfnOijIFdIXmtGD7O9JpkU51vKYLqBu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7qhCwgIJO3phi4gIJC0pxu6gIBA0p5u6AICAkl7uqELCAgk7emGLiAgkLSnG7qAgEDSnm7oAgICSXu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7qhCwgIJFt5+t9jLvxYKw0bL5je3JWc6ZduzwzAh0Cv0TwQOu+FXROMYS8vh51QQM3QmGtgDBjL0JiMTcog5HmiEzJkPUN7MjTm1TCGUB4z1cxtRqEx+V3qF2GfgrWGzhjWDOR6UCCyK47nwbbBDg9lPMQgsIxByoi7zDPi7q2wUhDYzSjfhxcirYDN2iCwYYy7vAwn9LYzYa2hr4TGWVE4HBnJnbpptF+2y8fC4N0MAF4Kd8wfM02XITMrwx1zkJzIRthTYdOAvgOZkDkURwI+I6m8COd3FBpfgrKbk/I4ZvaRJi437JM/6Bhp1I93/wgjugL21TFG1qOPA3DNBbD1sIuT64/AOZ0hTyxbClsQKtiOKW8b87E+NOt/GGv3sheGwEDeDLI97cQHIkPXMxz9VtiLYQ8mg1gSyvNxsS3X90Whgu0egjFYeJrYjmnxjsX9c2NBfzuG8AFYn3D1/Uf/yJU34cBbn1Buh30ddvTQTltePwb0IzHA34IxdLwybYE4H4L0TC4zMd2Fk4VJPp7ugROu1byOie12g/HZlCa2Y7p7x+L+uTGgEzgHyr3tpmB/GYbEJz/LXhLyYx52R2f5f53yMMro6U9LhK7DOdfuPPEZwCXpvlDBdkx5W7ZjivUh2/ZAb5hpmsbu5UoM6rjCwDagLF3mTkaec1iWtOV+/R5Yact4dtbnpcjP2i1jOtZpQedOZc9EmA9zAk736fHliG+hjw5tV+PIH6b0cnQLyvcO7ZbjOOtfjn4Dg9wE4/rIyfOtj/nHwWaSau4uevk62PWwa2Fc3vgjnFoQ4p8B1sL4pwL+GYBvp4cU2nG5XRXacDnhXUPwY6aauW2HN+2k0JzWHEd9OZrWoOe8zhi7lzkPYdoTMPRpE4eeoRu6gIBA0p5u6AICAkl7uqELCAgk7emGLiAgkLSnG7qAgEDSnm7oAgICSXu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7qhCwgIJO3phi4gIJC0pxu6gIBA0p5u6AICAkl7uqELCAgk7emGLiAgkLSnG7qAgEDSni6Ann/mXRrCfP68sDTfWVGmgK7QnBZsf0c6LdKpjtd0AXVDN3QBAYGkPd3QBQQEkvZ0QxcQEEja0w1dQEAgaU83dAEBgaQ93dAFBASS9nRDFxAQSNrTDV1AQCBpTzd0AQGBpD3d0AUEBJL2dEMXEBBI2tMNXUBAIGlPN3QBAYGkPd3QBQQEkvZ0QxcQEEja0w1dQEAgaU83dAEBgaQ9fQ5DZ4xnfhFXMoalbJFmoskxrIF9C8bQmIxNyoDgeaITMmQ9w2wyNObVsBPzRkPzjKk8VuIg313oLIYTLlQNLqrR5Leyn4T9AMYw9AzqynDMX4AdBbsTFtNf4OQVsGNhjKW6AsZrGdL5ithoGseabzrpdQwLPFYaU3MlBsX+DksGx5jY98JK4Y4ZHDxNjJM9arjjn4c1/RRAozd/IyG5DedXwVgX00k4YTjky5MynjJ/DIyONUoaE/o+GNHHYFwHuXZ+BHboKKPs7qRGk0vKxkIXLFsKWxDq2I4pbxvzsT40638YCzpDxzO9B/b0YLylvww78pGq0f+t1VwC5a0FdZZxvV8U6tjuIdgDWdt47eJCH82KatbXkjiDed8N+1SpckLZmJqMmv65gh4fptR5cqj7KI4/KrTj7oXtXl6o61PU9P8GuB8j4jr6jD4j63lNSZOR3RcW+tsDZYS5JdSxHXdzfMimie2Y6ECjpLGWlydgNHwI5YlLwK554Uj5Wk1uK7l25+kAFHwbFre0bMeUt2U7plgfsm0PNbf6OgzhzGwYj0H+DtjnewxvTM2Toc/+liXj4NjugZW2jGdn4+VWeNQtYw2PWgA3orP9Q4f07vNhXCOfXSOStRlTkw/L9TC+hca7cTXOudY/MdN9G/K3wPYO5ctx5MvU8Vm7IdmauW33kknpcDS4EPZ1GG/D78D4UnHcpAs76sfW5J8B1sLoGPwzwGdhhxS0udyuCm04jw0wgh8z1cytCvqYg2JfVQMbW3RK/TXdvUxpDnNPZqzdy9ybuXDEhi6Ab+iGLiAgkLSnG7qAgEDSnm7oAgICSXu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7qhCwgIJO3phi4gIJC0pxu6gIBA0p5u6AICAkl7uqELCAgk7emGLiAgkLSnG7qAgEDSnm7oAgICSXu6oQsICCTt6YYuICCQtKcLoPPD1klpPn9eOGnusnoFdIXmtAD7O9JpkU51vKYLqBu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7qhCwgIJO3phi4gIJC0pxu6gIBA0p5u6AICAkl7uqELCAgk7emGLiAgkLSnG7qAgEDSnm7oAgICSXu6oQsICCTt6YYuICCQtKcbuoCAQNKebugCAgJJe7qhCwgIJO3p8wD672EOV8K+AmNUWwZPPbXhvBhKmSE4b4AxLCcDiZf0GBpzDYxR3hkak7FJD4bliU54Loz9MTQmI8MzxvTUU+3nhX+CkTF+J8PKMzHg6sdhjFM601SjSWg/gL0PFu/YV+Gc174oEYxBYBmDlBF3mWfE3VthpSCwm1Ee57AC57M2CCwDqjLK7lGwNDFSeV6WNSlma6C/HleyXYwBHTtiiOWLk15XhnaHJWUM3n0vrBTu+JykHU95J40a7nisNf2VGNj3YF/LBswIvHlZ1qR39qFwJSOgp4mhlhlQPKZTcHInjJHdY9qGk6tgrIvpJJzw7rw8KeMp88fA9s3Ke2fHgv5MjOBm2Gmw/4R9E8a1nWt8q3QROqbmm2G7w+J6TOjnJaJH4Hxjko+nLFsKWxAK2I4pbxvzsT4063/IvaRvT1xG9oJxwryd74K9FMbbfBHsb2Fjpy3o8LmwD8N4fn84vgDHryZiS3B+fZKPp1txwvWd47sPxna8ex7I2rId0+KsvHd2LE/nGkmP4TrLNfXHsI/CLoG9BcYfY+zENZprLXdK3J3wofhW2Odhvzu22Jj9jQX9+xgUH2rcZqWJHkcPyR92WbNe2XeEq96A44Mw/tD0+itgH0h65F23MMnH0z1wwjHzLmFiO975dKA0sR3T3TsW98+NBZ1rOG9VWpriA20snbTvw5H5H1j60GQ9w9Q/KRjzdASu3XmiI/BdgksLU3SYvG10mNyh8v6q82PB+FRQJIg0cQmgJxHO2InL2H6w/IfeH2X0/HuC4Cdw5NKzLBkA9+vHwvgeEdOnccI9+QlJGU+Z50vXd7PyplnegpPSo9CAW8PPwR4XGvMhx7372ZMuLtTXaL4c17Ed3yBjej5O+DC8ICnjj7IexrdQbgmZVsNug5Vejm5B+d6h3XIcZ+3LEcfICayDbYbxdZvr+ems6JFqoLPbF8IIlK/23IdTkz9yvivjg3YtjEsP2/LtlC90eeKdvyq04XKyAUbwY6aquVU1GnNU6EuhOfIUOrvz/2zUiaZhxVgP0oZDnH9dG7rgNzV0QxcQEEja0w1dQEAgaU83dAEBgaQ93dAFBASS9nRDFxAQSNrTDV1AQCBpTzd0AQGBpD3d0AUEBJL2dEMXEBBI2tMNXUBAIGlPN3QBAYGkPd3QBQQEkvZ0QxcQEEja0w1dQEAgaU83dAEBgaQ93dAFBASS9nRDFxAQSNrTBdDzr41LQ5jPnxeW5usyEzABEzABEzABEzABEzCBn0MC/w8N48Jc0guDnAAAAABJRU5ErkJggg==)
Answer:![](data:image/png;base64,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)
TVC = SMCN + SMCN+1
AVC = TVC / Q
TC = FC + TVC
SAC = TC / Q
Question 28.Let the production function of a firm be
Q = 5L1/2K1/2
Find out the maximum possible output that the firm can produce with 100 units of L and 100 units of K.
Answer:The production function of a firm is
![](data:image/png;base64,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)
Where,
Q – Output
L – Labour
K – Capital
Given,
L = 100
K = 100
Therefore, Q = 5(100) 1/2 + 2 (100)1/2
Q = 5 X 10 X 10
Q = 500
Question 29.Let the production function of a firm be
Q = 2L2K2
Find out the maximum possible output that the firm can produce with 5 units of L and 2 units of K. What is the maximum possible output that the firm can produce with zero unit of L and 10 units of K?
Answer:The production function of a firm is –
Q = 2L2K2
Where,
Q – Output
L – Labour
K – Capital
Given,
L = 5
K = 2
Therefore, Q = 2 (5)2(2)2
Q = 2 X 25 X 4
Q = 200
When,
L = 0
K = 10
Therefore, Q = 2 (0)2(10)2
Q = 2 X 0 X 100
Q = 0
Question 30.Find out the maximum possible output for a firm with zero unit of L and 10 units of K when its production function is Q = 5L + 2K
Answer:The production function is given by –
Q = 5L + 2K
Where,
Q – Output
L – Labour
K – Capital
Given,
L = 0
K = 10
Therefore, Q = 5(0) + 2 (10)
Q = 0 + 20
Q = 20
Explain the concept of a production function.
Answer:
Production function explains the relationship between factor inputs and output, which means the relation between factors of production, their productivity, and final outcome. It may also be defined as the technological relationship between inputs and outputs.
According to Prof. Watson"Production function is the relation between a firm's physical production (output) and the material factors of production (inputs).”
Production may be defined as the conversion of physical inputs into physical output. As output depends upon input so we can say output is a function of inputs.
There is a direct relationship between the number of inputs and the production of output. The production function is nothing other than a tool used to show this relationship.
The production function is given as -
Q = f (L,K,D...)
Where –
Q stands for - Output of the firm
f stands for function
L, K, D stands for the physical quantity of Labour (L), Capital (K) and Land (D) used.
Suppose we say that a firm uses two inputs - capital and labour, then the production function will indicate the physical relationship between these two inputs and output of the firm. It will be represented as
Q = f (L,K)
Where –
Q stands for - Output of the firm
f stands for function
L, K stands for the physical quantity of labour and capital used.
Question 2.
What is the total product of an input?
Answer:
Total product means the total volume of goods produced during the specified period of time. The total product can be increased only by increasing the quantity of variable input employed in production.
For example, if a firm is producing shirts using labour and capital then as the quantity of labour will increase the total product will also increase but only up to a certain level that is up to the maximum capacity. Suppose the capacity of a firm is to keep 100 machines on which 100 workers can be employed then even if we increase the manpower to 150, it will not increase the total production rather it will reduce the capacity of labour.
Let's go through the following product schedule to understand it –
Now, see that with every increasing unit of labour the total product is increasing but the total product is constant when 5 men and 6 men are employed after that it is decreasing even when input is increasing. This means the maximum capacity of firm is to produce 170 units.
Question 3.
What is the average product of an input?
Answer:
Average product means dividing the total product by total number of units of variable factors, it is also known as per unit product of a variable factor.
The mathematical expression for Average Product (AP) is –
AP = Total Product/Units of Variable Factor
Let's go through the following product schedule to understand it –
The average product can never be zero.
Question 4.
What is the marginal product of an input?
Answer:
Marginal product is the rate at which total product increases or we can define the marginal product as the increase in the total product with every additional unit of the variable factor.
For Example – If a firm produces 10 pieces of shirt by employing 1 labour and 15 pieces of shirt by employing 2 labours, then the marginal product will be 5.
The mathematical expression for Marginal Product (MP) is –
MPn= TPn – TPn-1
Where,
MPn – Marginal Product at ‘n’ units of variable factor
TPn – Total Product at ‘n’ units of variable factor
TPn-1 – Total Product at ‘n-1’ units of variable factor
Let's go through the following product schedule to understand it –
Now, see that with every increasing unit of labour the marginal product is increasing initially but when the total product is constant the marginal product is zero and then after it is negative. This means once the maximum capacity of firm is achieved then the marginal product becomes negative for every additional level of input.
Question 5.
Explain the relationship between the marginal products and the total product of an input.
Answer:
The relation between marginal product and total product is described as below –
a) When Total Product increases at an increasing rate Marginal Product increases.
b) When Total Product increases at a decreasing rate Marginal Product decreases but it is positive.
c) When Total Product is maximum and constant Marginal Product becomes zero.
d) When Total Product falls Marginal Product becomes negative
Let's go through the following product schedule to understand it –
• From point A – B & B – C, The Total Product is increasing at an increasing rate so the Marginal Product is also increasing.
• From point C – D & D – E, The Total Product is increasing at a decreasing rate so the Marginal Product is decreasing.
• From point E – F, The Total Product is constant so the Marginal Product is zero.
• From point F – G & G – H, The Total Product is decreasing so the Marginal Product is negative.
The following graph will make it easier to understand –
Question 6.
Explain the concepts of the short run and the long run.
Answer:
Short run may be defined as a period in which some factors are fixed and some are variable. During short run, it is not possible to increase all the factors of production but only the variable factors can be increased.
The scale of production remains constant in short run. In short run, the output can be increased or decreased only by employing more or less of the variable factors, i.e labour.
It is assumed that in short run the firm doesn't have sufficient time to increase the fixed factors and so the output is dependent only upon the level of the variable factor or we can say the output level can vary only because of the variable factor.
Algebraically, short run production function is expressed as –
Q = f(L, K)
Where –
Q – Output
L- Labour
K – Constant units of Capital
In long run all factors are variable that is all the factors can be changed to increase the output. In long run the scale of production can be changed. In long run a firm can change all its inputs so the output can be increased or decreased by employing more or less of any of the inputs.
It is assumed that in long run the firm have sufficient time to increase the factors of input and so all the factors are variable. In long run “Returns to Scale” phenomenon is in operation.
Algebraically, long run production function is expressed as –
Q = f(L, K)
Where –
Q – Output
L- Labour
K – Capital
Both L & K are variable
Question 7.
What is the law of diminishing marginal product?
Answer:
The law of diminishing marginal product states that if we keep increasing the employment of an input assuming that other inputs are fixed the marginal product will increase only up to a particular level and then will start falling. Law of diminishing returns suggests that the stage where the return to inputs starts diminishing is the ultimate stage.
In the initial stages as we increase the quantity of variable factors the total output will increase at an increasing rate and the marginal product will also increase.
In the next stage as we increase the quantity of variable factors the total output will increase at a decreasing rate but the marginal product will increase.
But once the total output is constant, that is there is no change in the total output with any change in the variable factor, the marginal product will be zero.
When the total output decreases with increase in variable factor the marginal product will be negative.
Let’s understand it with help of following product schedule and the graph –
Now, we will represent this data on graph –
Question 8.
What is the law of variable proportions?
Answer:
Law of variable proportion explains the relation between the proportion of fixed and variable inputs on one hand and output on the other. When the firm increases its output by employing more of the units of the variable factor it changes the ratio between fixed and variable factors. The law speaks about three stages of production
1st Stage - It goes from origin to the point where the average output is maximum. When a firm increases the output by increasing the quantity of variable factors in proportion to fixed factors it moves towards optimum combination factors of production at this stage the marginal input increases that is the total output increases at an increasing rate it is the stage where the law of increasing returns operates. The marginal output begins to fall at this stage and the law of diminishing distance is introduced.
2nd stage - It starts from the point where the average output is maximum and goes to the point where the marginal output is zero. Once the optimum combination of fixed inputs and variable inputs is attained after that if the firm increases the quantity of variable output the per unit output of variable input that is average input will fall. In this stage, the total output rises but at a diminishing rate. This is a crucial stage for a firm because in this stage the firm determines its level of actual production.
3rd stage - It covers the range over which the marginal output is negative. It is also known as the stage of negative returns. In this stage, the total output begins to fall. Thus the total output, average output, and marginal output all fall. No producer operates at this stage even if he can procure the variable factors for zero price.
Let’s understand it with help of following table and graph –
Question 9.
When does a production function satisfy constant returns to scale?
Answer:
Constant returns to scale means when increase in total output is proportional to increase in the quantities of inputs i.e there is equal increase in output and input.
Here, IQ1, IQ2 and IQ3 represent the total output of 1000 units, 2000 units and 3000 units respectively.
As we can see EE1 = E1E2 = E2E3, so it is constant returns to scale.
Therefore, constant returns to scale operate when total output increases exactly in the same proportion as an increase in the quantity of factor inputs.
Question 10.
When does a production function satisfy increasing returns to scale?
Answer:
When the total output increases in a larger proportion than the proportionate increase in the factor input, it is called increasing returns to scale.
Here, IQ1, IQ2 and IQ3 represent the total output of 1000 units, 2000 units and 3000 units respectively.
As we can see EE1 > E1E2 > E2E3, so it is increasing returns to scale.
Question 11.
When does a production function satisfy decreasing returns to scale?
Answer:
Diminishing or decreasing returns to scale where the increase in output is more than proportionate increase in quantities of factor inputs it is called diminishing returns to scale.
Here, IQ1, IQ2 and IQ3 represent the total output of 1000 units, 2000 units and 3000 units respectively.
As we can see EE1 < E1E2 < E2E3, so it is decreasing returns to scale.
Question 12.
Briefly explain the concept of the cost function.
Answer:
Cost function expresses the relationship between cost and its determinants. There are several factors that influence the cost which includes size of plant, price of input, level of output, technology, etc when their relationship is established with cost it is called cost function.
The cost function can be formulated for short run as well as for long run but these two are interrelated. The cost function can be linear or nonlinear depending upon the nature and behaviour of cost.
The cost function depicts the least cost combination of inputs associated with different level of inputs. Therefore, it depicts the output-cost relationship.
Question 13.
What are the total fixed cost, total variable cost and total cost of a firm? How are they related?
Answer:
a) Total fixed cost refers to the cost which remains constant irrespective to the level of output, the total fixed cost will never change. For example, suppose Mr X hired a shop at a dent of rupees 500 per month for selling grocery, during first month he keeps a shop closed even then he will have to pay the rent so rent is fixed cost.
Let’s understand it with help of following cost schedule and graph
Cost Schedule
Graph
b) Total variable cost is the cost of the variable inputs employed by the firm which is directly proportional to the level of change in the output. It becomes zero when the level of output is zero, increases with output, decreases with output.
Let’s understand it with help of following cost schedule and graph
Cost Schedule
c) Total cost is the sum of total fixed cost and total variable cost. At zero level of output total cost will be just the fixed cost.
Let’s understand it with help of following cost schedule and graph
Cost Schedule
Graph
Question 14.
What are the average fixed cost, average variable cost and average cost of a firm? How are they related?
Answer:
Average fixed cost is per unit cost on fixed factors, it decreases with increase in output.
Average fixed cost = Total Fixed Cost / No. of Units Produced
Cost Schedule
Graph
Average variable cost is per unit cost of variable factors it remains constant.
Average variable cost = Total Variable Cost / No. of Units Produced
Cost Schedule
Graph
Average total cost means total cost per unit of output it is a u shaped curve like average variable cost. The average fixed cost is represented by a rectangular hyperbola
Average total cost = Total Cost / No. of Units Produced
Cost Schedule
Graph
Relationship between Average Fixed Cost, Average Variable Cost, and Average Cost -
• Average fixed cost curve is rectangular hyperbola.
• It falls continuously to the right but will never touch the x-axis because average fixed cost can never be zero.
• Average variable cost and average total cost or average cost curve is U shaped.
• Average cost curve lies above average variable cost curve and as output increases the vertical difference between two curves will decrease but they will never intersect.
Question 15.
Can there be some fixed cost in the long run? If not, why?
Answer:
In long run all the cost are variable cost because the firm has sufficient time to change the factors of input. So there is no fixed cost in long run therefore in long run total cost will be equal to total variable cost.
Question 16.
What does the average fixed cost curve look like? Why does it look so?
Answer:
Average fixed cost curve looks like a rectangular hyperbola. The average fixed cost is total fixed cost divided by the output. As we know that total fixed cost remains same so as the output will increase the average fixed cost will decrease.
At low level of output, that is something near 0 the average fixed cost will be very high as compared to the average fixed cost at maximum level of output. However it never become zero because fixed cost is never 0, so it is like a rectangular hyperbola and never intersects the x axis.
The following schedule and graph will help to understand
TFC – Total Fixed Cost
AFC – Average Fixed Cost = Total Fixed Cost / output
Question 17.
What do the short run marginal cost, average variable cost and short run average cost curves look like?
Answer:
The short run marginal cost (SMC), average variable cost (AVC) and short run average cost (SAC) curves are all u shaped.
The reason behind it is the law of variable proportion, which states that in initial stages of production in short run the average and marginal cost fall.
Subsequently with constant returns to labour the cost curve become constant and reach their minimum point, which represents the optimum combination of capital and Labour. Beyond this with every additional unit of labour will increase the cost and as the marginal product of labour starts falling the cost curve starts rising due to decrease in returns to labour.
Let's understand it with help of graph –
Cost Schedule
GRAPH
Question 18.
Why does the SMC curve cut the AVC curve at the minimum point of the AVC curve?
Answer:
The SMC curve always intersects the AVC curve at its minimum, because at the minimum point of AVC the SMC is below AVC.
Both SMC and AVC fall but SMC Falls at a faster rate than AVC. Say the minimum point is K where AVC is equal to SMC beyond this point the AVC and SMC both rises but SMC Rises at a faster rate and is above AVC therefore the only point where SMC and AVC are equal is where is SMC intersects AC that is the minimum point K
Let's understand it with help of graph –
Cost Schedule
GRAPH
Question 19.
At which point does the SMC curve cut the SAC curve? Give reason in support of your answer.
Answer:
Short run marginal cost (SMC) curve cuts the short run average cost (SAC) curve from below at the minimum point of SAC curve, where SAC is constant and at its minimum point.
The reason behind it is -
• When SMC and SAC fall, the SMC falls at a lower rate than SAC
• When SMC and SAC rise, the SMC rises at a greater rate than SAC
Let's understand it with help of graph –
Cost Schedule
GRAPH
Question 20.
Why is the short run marginal cost curve ‘U’-shaped?
Answer:
The short run marginal cost curve is ‘U’ shaped because initially the marginal cost falls but ultimately it rises. It is based upon the law of variable proportions.
Let's understand it with help of graph –
Cost Schedule
GRAPH
Question 21.
What do the long run marginal cost and the average cost curves look like?
Answer:
The long run marginal cost (LMC) curve and long range average cost (LAC) curves are U shaped curves but flatter than short run U shape, because of the law of returns to scale.
The important factors determining the shape of LAC and LMC are that whether there is increasing, constant, or decreasing returns to scale.
• At constant returns to scale AC will be same for all levels of output
• At increasing returns to scale the average cost with fall will fall with every unit of output
• At decreasing returns to scale the average cost will increase with every unit of output
Question 22.
The following table gives the total product schedule of labour. Find the corresponding average product and marginal product schedules of labour.
Answer:
MP – Marginal Product = TPN+1 - TPN
AP – Average Product = TP / L
Question 23.
The following table gives the average product schedule of labour. Find the total product and marginal product schedules. It is given that the total product is zero at zero level of labour employment.
Answer:
Given – Total product of labour is zero at zero level of employment
This means that labour is variable factor.
MP – Marginal Product = TPN+1 - TPN
TP – Total Product = AP X L
Question 24.
The following table gives the marginal product schedule of labour. It is also given that total product of labour is zero at zero level of employment. Calculate the total and average product schedules of labour.
Answer:
Given – Total product of labour is zero at zero level of employment
This means that labour is variable factor.
TP – Total Product = MPN+1 + MPN
AP – Average Product = TP / L
Question 25.
The following table shows the total cost schedule of a firm. What is the total fixed cost schedule of this firm? Calculate the TVC, AFC, AVC, SAC and SMC schedules of the firm.
Answer:
The total cost given for 0 output is Rs 10, it means the fixed cost is Rs 10
SAC = TC / Q
TFC = 10
TVC = TC – TFC
AVC = TVC / Q
AFC = TFC / Q
SMC = TVCN+1 - TVCN
Question 26.
The following table gives the total cost schedule of a firm. It is also given that the average fixed cost at 4 units of output is Rs 5. Find the TVC, TFC, AVC, AFC, SAC and SMC schedules of the firm for the corresponding values of output.
Answer:
Given – Average fixed cost at 4 units of output is Rs 5
Therefore, Total Fixed Cost for 4 units will be Rs 20
As we know that the FC remains constant so it will be Rs 20 for all levels of output
SAC = TC / Q
TFC = 20
TVC = TC – TFC
AVC = TVC / Q
AFC = TFC / Q
SMC = TVCN+1 - TVCN
Question 27.
A firm’s SMC schedule is shown in the following table. The total fixed cost of the firm is Rs 100. Find the TVC, TC, AVC and SAC schedules of the firm.
Answer:
TVC = SMCN + SMCN+1
AVC = TVC / Q
TC = FC + TVC
SAC = TC / Q
Question 28.
Let the production function of a firm be
Q = 5L1/2K1/2
Find out the maximum possible output that the firm can produce with 100 units of L and 100 units of K.
Answer:
The production function of a firm is
Where,
Q – Output
L – Labour
K – Capital
Given,
L = 100
K = 100
Therefore, Q = 5(100) 1/2 + 2 (100)1/2
Q = 5 X 10 X 10
Q = 500
Question 29.
Let the production function of a firm be
Q = 2L2K2
Find out the maximum possible output that the firm can produce with 5 units of L and 2 units of K. What is the maximum possible output that the firm can produce with zero unit of L and 10 units of K?
Answer:
The production function of a firm is –
Q = 2L2K2
Where,
Q – Output
L – Labour
K – Capital
Given,
L = 5
K = 2
Therefore, Q = 2 (5)2(2)2
Q = 2 X 25 X 4
Q = 200
When,
L = 0
K = 10
Therefore, Q = 2 (0)2(10)2
Q = 2 X 0 X 100
Q = 0
Question 30.
Find out the maximum possible output for a firm with zero unit of L and 10 units of K when its production function is Q = 5L + 2K
Answer:
The production function is given by –
Q = 5L + 2K
Where,
Q – Output
L – Labour
K – Capital
Given,
L = 0
K = 10
Therefore, Q = 5(0) + 2 (10)
Q = 0 + 20
Q = 20