Class 12th Introductory Microeconomics CBSE Solution
Exercises- What do you mean by the budget set of a consumer?
- What is budget line?
- A consumer wants to consume two goods. The prices of the two goods are Rs 4 and Rs 5…
- How does the budget line change if the consumer’s income increases to Rs 40 but the prices…
- How does the budget line change if the price of good 2 decreases by a rupee but the price…
- What happens to the budget set if both the prices as well as the income double?…
- Suppose a consumer can afford to buy 6 units of good 1 and 8 units of good 2 if she spends…
- Suppose a consumer wants to consume two goods which are available only in integer units.…
- What do you mean by ‘monotonic preferences’?
- If a consumer has monotonic preferences, can she be indifferent between the bundles (10,…
- Suppose a consumer’s preferences are monotonic. What can you say about her preference…
- Suppose your friend is indifferent to the bundles (5, 6) and (6, 6). Are the preferences…
- Suppose there are two consumers in the market for a good and their demand functions are as…
- Suppose there are 20 consumers for a good and they have identical demand functions: d(p) =…
- Consider a market where there are just two consumers and suppose their demands for the…
- What do you mean by a normal good?
- What do you mean by an ‘inferior good’? Give some examples.
- What do you mean by substitutes? Give examples of two goods which are substitutes of each…
- What do you mean by complements? Give examples of two goods which are complements of each…
- Explain price elasticity of demand.
- Consider the demand for a good. At price Rs 4, the demand for the good is 25 units.…
- Consider the demand curve D (p) = 10 - 3p. What is the elasticity at price 5/3?…
- Suppose the price elasticity of demand for a good is - 0.2. If there is a 5 % increase in…
- Suppose the price elasticity of demand for a good is - 0.2. How will the expenditure on…
- Suppose there was a 4 % decrease in the price of a good, and as a result, the expenditure…
- What do you mean by the budget set of a consumer?
- What is budget line?
- A consumer wants to consume two goods. The prices of the two goods are Rs 4 and Rs 5…
- How does the budget line change if the consumer’s income increases to Rs 40 but the prices…
- How does the budget line change if the price of good 2 decreases by a rupee but the price…
- What happens to the budget set if both the prices as well as the income double?…
- Suppose a consumer can afford to buy 6 units of good 1 and 8 units of good 2 if she spends…
- Suppose a consumer wants to consume two goods which are available only in integer units.…
- What do you mean by ‘monotonic preferences’?
- If a consumer has monotonic preferences, can she be indifferent between the bundles (10,…
- Suppose a consumer’s preferences are monotonic. What can you say about her preference…
- Suppose your friend is indifferent to the bundles (5, 6) and (6, 6). Are the preferences…
- Suppose there are two consumers in the market for a good and their demand functions are as…
- Suppose there are 20 consumers for a good and they have identical demand functions: d(p) =…
- Consider a market where there are just two consumers and suppose their demands for the…
- What do you mean by a normal good?
- What do you mean by an ‘inferior good’? Give some examples.
- What do you mean by substitutes? Give examples of two goods which are substitutes of each…
- What do you mean by complements? Give examples of two goods which are complements of each…
- Explain price elasticity of demand.
- Consider the demand for a good. At price Rs 4, the demand for the good is 25 units.…
- Consider the demand curve D (p) = 10 - 3p. What is the elasticity at price 5/3?…
- Suppose the price elasticity of demand for a good is - 0.2. If there is a 5 % increase in…
- Suppose the price elasticity of demand for a good is - 0.2. How will the expenditure on…
- Suppose there was a 4 % decrease in the price of a good, and as a result, the expenditure…
Exercises
Question 1.What do you mean by the budget set of a consumer ?.
Answer:Budget set is a set of all possible combinations of the two goods the consumer can buy from his income at given prices; the cost of these combinations is exactly equal to the income of the consumer or less than it .
Now, let’s say the income of a consumer is Rs 1000 and he has to buy apples and oranges. The price per kg apple is Rs 50 and apple is Rs 20. The possible outcomes could be
![](data:image/png;base64,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)
These set of combinations will be called budget set.
The right angle triangle AOB as shown in the following figure is called budget set, it is formed between the budget line and the two axis
![](data:image/png;base64,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)
Question 2.What is budget line?
Answer:Budget line represents the different possible combinations of two goods which can be purchased by consumer with the given income and at prevailing prices and the cost of each of these combinations is equal to the income of consumer.
Now, let’s say the income of a consumer is Rs 1000 and he has to buy apples and oranges. The price per kg apple is Rs 50 and apple is Rs 20. The possible outcomes could be –
![](data:image/png;base64,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)
The combinations A, B, C, D, E will be called budgets lines.
Question 3.A consumer wants to consume two goods. The prices of the two goods are Rs 4 and Rs 5 respectively. The consumer’s income is Rs 20.
(i) Write down the equation of the budget line.
(ii) How much of good 1 can the consumer consume if she spends her entire income on that good?
(iii) How much of good 2 can she consume if she spends her entire income on that good?
(iv) What is the slope of the budget line?
Answer:Let the units purchased two goods be
Goods 1 X and
Goods 2 Y
(i) Equation of the budget line – P1X + P2Y = M
Where
P1 – Price of Good 1 = 4
P2 – Price of Good 2 = 5
M – Income of consumer = 20
X – Units of Good 1
Y - Units of Good 2
Therefore, here the budget line will be expressed as
4X + 5Y = 20
(ii) How much of good 1 can the consumer consume if she spends her entire income on that good?
4X + 5(0) = 20
X = 5
(iii) How much of good 2 can she consume if she spends her entire income on that good?
4(0) + 5(Y) = 20
Y = 4
(iv) What is the slope of the budget line?
The slope of budget line is
![](data:image/png;base64,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)
- 4/5 = X/Y
X/Y = - 0.8
Question 4.How does the budget line change if the consumer’s income increases to Rs 40 but the prices remain unchanged?
Answer:The budget line will be expressed as
4X + 5Y = 40
As income has increased so the consumer can purchase more of both the commodities and the budget line will shift parallelly outwards to A’B’ from AB
The slope of new budget line will be
![](data:image/png;base64,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)
- 4/5 = X/Y
X/Y = - 0.8
![](data:image/png;base64,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)
Question 5.How does the budget line change if the price of good 2 decreases by a rupee but the price of good 1 and the consumer’s income remain unchanged?
Answer:The budget line will be expressed as
4X + 4Y = 20
The slope of new budget line will be
![](data:image/png;base64,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)
- 4/4 = X/Y
X/Y = - 1
The new budget line will also pivot outwards around the same horizontal intercept –
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/wAALCACjARQBAREA/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/9oACAEBAAA/APV9Q1B7O90u3WMML66aBiT90CGWTI/GMD8av0UUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUVi67/yF/Dn/YSf/wBJLitqiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiisXXf+Qv4c/7CT/+klxW1RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRWLrv8AyF/Dn/YSf/0kuK2qKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKwPEtzDa6l4bknkEaHVfLBP95radVH4kgfjW/RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRXN+MNPi1WTRLGYlUnv5F3L1U/ZLjDD3BwR7itLQdQl1DS0a6AW8gYwXSjoJUOGx7H7w9iK0qKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKxdd/5C/hz/ALCT/wDpJcUyX/iU+K0m6WurqI39FuEX5T/wJAR/2zUd63aKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKxdd/5C/hz/sJP/wCklxVvWtOOq6VNapJ5Uxw8Ev8AzzlU7kb8GANLo2ojVdKgvCnlyMCssXeORTtdT9GBH4VeooooooooooooooooooooooooooooooorF13/AJC/hz/sJP8A+klxW1WFB/xKfFM1v0ttWBni9FnQAOv/AAJQrfVXPet2iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiub8YJevNoP9nSKl0upM8W/wC6xFtOdp9A2NpPbOa2NK1KLVbBLqNWjYkrJE/3onHDI3uDxUHiCwmvtLb7LgXtswuLUn/nqvIB9m5U+zGrOm38Oqabb38GfLuIw4DDBXPUEdiOhHqKtUUUUVU1S9gsNNnuLi8js0VCBPIMhCehx3Oe3evJfC+u/ELxF45/sfUNRltbWzImugtosRMfVRyu4bsjGecE+ldx4Z0C11DwrpF7dXmryXFzYwyyv/bF2NzMgJOBJgcntWn/AMIpp3/Pzq//AIObv/47R/wimnf8/Or/APg5u/8A47R/wimnf8/Or/8Ag5u//jtH/CKad/z86v8A+Dm7/wDjtH/CKad/z86v/wCDm7/+O0f8Ipp3/Pzq/wD4Obv/AOO0f8Ipp3/Pzq//AIObv/47R/wimnf8/Or/APg5u/8A47R/wimnf8/Or/8Ag5u//jtH/CKad/z86v8A+Dm7/wDjtH/CKad/z86v/wCDm7/+O0f8Ipp3/Pzq/wD4Obv/AOO0f8Ipp3/Pzq//AIObv/47R/wimnf8/Or/APg5u/8A47R/wimnf8/Or/8Ag5u//jtQ6PajT/FWp2UNxeSW4sbWVUubuWfazPcBiDIzEZCL09K6CiiiiiisXXf+Qv4c/wCwk/8A6SXFRamp0DUW1yFcWU+BqaD+EAYWce69G9Vwf4a3lYMoZSCpGQQetYmm/wDEq1+70o/LBd7r209ASf3yD6MQ/wD20PpW5RRRWPfa8Eu207S7f+0NQXG+NWxHBnoZX/h+nLHsKSx0E/ak1HV7j+0L9eUJXbFb+0adv945Y+uOK1hDEszzLGoldQrOBywGcAn2yfzNZHgz/kSNB/7Btv8A+i1pt7qOpXOuvpGkvawNb26T3FxcwtKAHLBEVFZeTsYk7uMDg54zF8Sak2qWGn3BihuIdWazvfKX5Jk+zPKrLuyVB+Q4zkEEZI5MieK5tR1vQ47O1u7exvpZts8saeXdRrE5DKQSyjIVhuCkg9DzifUdevNP8VvZx2V5fwjT1nFvaom4NvYFsuVHQAYzk9geas2/izTbu3u7i386SG1sIr8uFA3xyByu3JzuxGcg47fhneIfF5t9E1N9LtLySe2043BuI40KWrNGzR7gzZJ4BIUNgYJ4NT3fjOGxfyf7Nv70xPBBPNbiIIksu3Yp3upyd6nIGBuHNWP+ErtTd+UtldtbG5Not6BH5LTDI2DLbvvArnbt3cZo8J67ea9pslzeabJZsk8sasxTa4WV0wNrscgKA2cAnpkVn6T4muDBam+mMrSvqLNiAZZIJiqgEMAuFwPunPqO9208ZWE6+bc2t5p8DWbX0U10ihZYV27mG1iRjcvBAPPANWtL19NRuzaS6feafcGETxx3QTMkecbhsZuhIyDgjI4rWoorFtf+R31T/sG2f/oy6raoooooorF13/kL+HP+wk//AKSXFbLKrqVZQysMEEZBFYOmM2haiNDnb/RJstpjn+FQMtCT6r1X1Xj+E1P4ktpmsE1CzjL3mmyfaYlXrIACHT/gSFh9SD2rTtbmG8tYbq3cSQzoskbjoykZB/Kpar31/aabaPd3twlvAn3nc4H09z7Vj51bxD93ztI0w9yNt1cD2/55L/49/u1r2Gn2mmWi2tlbpBCnRVHU9yT1JPcnk1ZorF8Gf8iRoP8A2Dbf/wBFrS32i3bawdW0q+itLqSAQTrPbmaOVFJKnaHQhgWbnPQnIPGK0PhPbNZ3M18ZrmO+a9upDFtE7tC0W0AH5FCkY68LzknNRab4TvbG40gTaws9po25bWEWuxihjZAHfcdxAK4ICjg5ByCLepaJqU2tHVdM1WKzma1FsUmtPOXG5m3cOp3ZIxzjrkHIxQk8FSwWzWulaqLSCfTY9PuPNt/Od0TeFZW3AK37xs5BHTgYpb3wdeT2t9Z2msrbW+pWaW10rWvmNlYzHuQ7gFyuAQQ3Tgg81g3mm3lt4ourmOzmnnF3A0FvLaXUkVwESNVfzEcQJjDY3qxUjOegG9aeCLex1t76GHSJI3umud1xpYkuUZm3HbPvGPmJIJUkDjnFa2haTPo0NxbNdxz2z3Ek0CiEo8fmSM7Bm3ENy3BwvA71nQ+D/JS3X7fnyVvl/wBT1+0yb/738PT39qdc+D4L22sLW5umaC10ybT5AqbTIsixqWBz8pHl9Oevty/w54YGhTNIYdGDGIR+ZY6ULWRun3mDtnOOgA5roKKKxbX/AJHfVP8AsG2f/oy6raoooooorF13/kL+HP8AsJP/AOklxW1VLVtNj1awe1d2ibIaKZPvwyDlXX3B/wAO9Q6Jqcl7FLbXiCPULNhHcoOhOOHX/ZYcj8R1Bqtof/Et1C80JuI4j9ps/wDri5OVH+6+4ewK1Jf6+Eu207Srf+0NRXG+NW2xwZ7yv0X6csewpLHQT9qTUdXuBqF+vMZK7Yrf2jTnH+8csfXtWzRRRXH+E/Fnhu28HaLBP4h0uKWLT4Ekje9jVkYRqCCCeCD2rW/4TPwr/wBDNpH/AIHRf/FUf8Jn4V/6GbSP/A6L/wCKo/4TPwr/ANDNpH/gdF/8VR/wmfhX/oZtI/8AA6L/AOKo/wCEz8K/9DNpH/gdF/8AFUf8Jn4V/wChm0j/AMDov/iqP+Ez8K/9DNpH/gdF/wDFUf8ACZ+Ff+hm0j/wOi/+Ko/4TPwr/wBDNpH/AIHRf/FUf8Jn4V/6GbSP/A6L/wCKo/4TPwr/ANDNpH/gdF/8VR/wmfhX/oZtI/8AA6L/AOKo/wCEz8K/9DNpH/gdF/8AFUf8Jn4V/wChm0j/AMDov/iqP+Ez8K/9DNpH/gdF/wDFVW0bU9P1Xxjq0+nX1texLp9mhkt5VkUN5lycZUnnBHHvXR0UUUUUVi67/wAhfw5/2En/APSS4raorG1uzuIpY9a06NpL20Uq0KnH2qI8tH9e6nseOhNc5rVzqGvWcPiCzWSx02xyxkjf/SbiAkCbGM7BtGcfeJQfdrstNsbLT7GO30+GOK3A3KI+Q2e+e5PqeTVqiiiiiiiiiiiiiiiiiiiiiiiiiiiisXXf+Qv4c/7CT/8ApJcVtUUVz0qjw9qrOVH9kalJ++B6W9wxxn/cc8H0bB/iNTeHGNl9p0GRiW05h5BJ5a3bJjP4YZP+AVt0UUUUUUUUUUUUUUUUUUUUUUUUUUUVi67/AMhfw5/2En/9JLitqiiobq1gvrWW1uollgmQpIjDhgeorjpbqbQtWtTfTF5rAGNpmPNzYuwG8+rRvs3e2T/HXb0UUUUUUUUUUUUUUUUUUUUUUUUUUUVi67/yF/Dn/YSf/wBJLitqiiisrxDoq63pzRKyR3MeWgkYZAJBBVvVWBKsPQ+uKoeB9Wk1DRGs7tXS+0yU2lwkn3ht+6T65XHPQnOK6SiiiiiiisjxNcXVto6mzuXtZZbu1g85FVmRZLiNGIDAjO1j1Bpn9haj/wBDZq//AH6tP/jFH9haj/0Nmr/9+rT/AOMUf2FqP/Q2av8A9+rT/wCMUf2FqP8A0Nmr/wDfq0/+MUf2FqP/AENmr/8Afq0/+MUf2FqP/Q2av/36tP8A4xR/YWo/9DZq/wD36tP/AIxR/YWo/wDQ2av/AN+rT/4xR/YWo/8AQ2av/wB+rT/4xR/YWo/9DZq//fq0/wDjFH9haj/0Nmr/APfq0/8AjFH9haj/ANDZq/8A36tP/jFH9haj/wBDZq//AH6tP/jFH9haj/0Nmr/9+rT/AOMUf2FqP/Q2av8A9+rT/wCMUf2FqP8A0Nmr/wDfq0/+MUf2FqP/AENmr/8Afq0/+MVDbJqGn+KrSym1q8v7e5sbiVkuY4BtZHgCkGONT0kbrmugrF13/kL+HP8AsJP/AOklxW1RRRRXJ+JH/wCEZ1mDxTDGxtpttpqiIOqE/u5cdyrHHckNj0rqo5EljWSN1dHAZWU5DA9CDTqKKKKKKxfFf/IIg/7CVh/6VxVtVg2/jDTbmTWYljuEk0YO0yOgBkVd2Wj5+YZVh2564yKvNr2lRfZFudQtrWW9VWghnmVHk3YwApPJ5A471Y/tCyAB+2QYM3kA+YP9ZnGzr97PbrSm8hMdw0MscrWxKyKjglGChtp9Dgg49CKzdF8UaXrOmQXQvbSKdrOO6uLYXKs1urIGO7oQBnqQK0xeWrSJELiIySRmVFDjLIMZYDuPmHPTketZVt4r0y+1VrWzu7S5tktXuJLuG5V0TaygqccDhgc54qzb+I9Cu4Z5rbWtPnitl3TPHdIyxL6sQeBwetVr7xj4fsLayuZNVtHt72byYpkuIymRncxbdjaMYJHQkVa1HVlsf7PKRidL66SBWV8ABlY7hwc/d/WmDxFpcdkl3eXttYo5fH2i5iHCPsJyGIxkjvxuAODxU11rek2NrDdXmqWVtbzgGGWa4REkBGRtJODxzxV0EEAg5B6GloorFuv+R30v/sG3n/oy1rarF13/AJC/hz/sJP8A+klxW1RRRRVe/sodS0+4sbgExXEZjfHUAjqPQ+hrk/B97PpO3Rr44iErwRv2jnXlovZWXEiD0Yr2FdpRRRRRRXJ+LfEOlJPBocl4keom+sJVgfguv2qPlT0P3TkdeK6yuD1Twtqsmkalc2Fuo1T7XdmFDIoFxbzHDIWzgZGGGehUdMmo77wzqnnXkckeqzWmoWUEEiaa9nkbEKsrGfkckkFD/Eeh5NnVPDOqS6rfJawhrQL/AGjaTNIuRfKgjVSM5/h3E9MtW7oun3NvoU/2mHy7y9ea4mjLAlXkJIXI4O0bVzn+HrXNWHhzVbvSdH0u40gac2m6ZLby3DSxssjvEEwmwk4J+ZiQOVGN3WluNG1/WovKbS307b4fuLAPNcRtmZjFgfIxOw7D83XrkDjNbxLaX93Be6jNon9lRPpiWKCR4ndpDNHtTajEEZOFyQCc52jmnNYajqq6lGyXUWtLeWl/cQrFBFujUbU8sGSVN37skb2PKjoMEXho2oR2q38dlq1xdDVYryeC8ktBLKFj8slPKYRjjHUgnb9K39csrq/bSHghJ8i/jnlBYAogVgT155I6ZrG0Xw/f22paJPdWahbJdR3sWVvLaWZWjI57pu6dOQcZrOg8Oa5YGxuFivlWO0mtXh082heMGYsoxOCmwrtztIPyrkHt2miWS6dodjZILhVt7dI1W5ZWkUBQMMV+UkdDjj0q9RRWLdf8jvpf/YNvP/RlrW1WLrv/ACF/Dn/YSf8A9JLitqiiiiiuY1zTrf8AthPtIIs9XC28rKcGK4T5oZAezcEZ9QlTWi/21G+l6zLcR6jYEeb9kupbfzVP3ZR5bKSrAHjsQR2qf/hFNO/5+dX/APBzd/8Ax2j/AIRTTv8An51f/wAHN3/8do/4RTTv+fnV/wDwc3f/AMdo/wCEU07/AJ+dX/8ABzd//HaP+EU07/n51f8A8HN3/wDHaP8AhFNO/wCfnV//AAc3f/x2vO/HXwvN/wCIIdU+2yppu+0tWWW5knnYyTrGcNIWwAHz16jpzXqOk6XDo2mQ6fbyTyxwrtDXEpkc/Un+XSrtFFFFFR3FvDd28lvcwxzQyKVeORQysD1BB4IqGw0vT9KhaHTbC2sombcyW8KxqT0yQoHPAq1RRRRRRRWLdf8AI76X/wBg28/9GWtbVUtS0mz1eOFLtZv3EnmxNDPJC6NtZchkIP3WYde9Uv8AhFNO/wCfnV//AAc3f/x2j/hFNO/5+dX/APBzd/8Ax2j/AIRTTv8An51f/wAHN3/8do/4RTTv+fnV/wDwc3f/AMdo/wCEU07/AJ+dX/8ABzd//HaP+EU07/n51f8A8HN3/wDHax/F3hqwtvCOrXUc+qGW2tJJ4i+rXThZEG5Gw0hBIYAj3FaaeDtIaRLppNUM4j2CX+17vcFOCRnzOmQDj2qX/hFNO/5+dX/8HN3/APHaP+EU07/n51f/AMHN3/8AHaP+EU07/n51f/wc3f8A8do/4RTTv+fnV/8Awc3f/wAdo/4RTTv+fnV//Bzd/wDx2j/hFNO/5+dX/wDBzd//AB2mS+DtJnQJNJqkihlcK+r3ZAZSGU8ydQQCD2IFP/4RTTv+fnV//Bzd/wDx2j/hFNO/5+dX/wDBzd//AB2j/hFNO/5+dX/8HN3/APHaP+EU07/n51f/AMHN3/8AHaP+EU07/n51f/wc3f8A8do/4RTTv+fnV/8Awc3f/wAdo/4RTTv+fnV//Bzd/wDx2j/hFNO/5+dX/wDBzd//AB2j/hFNO/5+dX/8HN3/APHaP+EU07/n51f/AMHN3/8AHaP+EU07/n51f/wc3f8A8do/4RTTv+fnV/8Awc3f/wAdo/4RTTv+fnV//Bzd/wDx2j/hFNO/5+dX/wDBzd//AB2j/hFNO/5+dX/8HN3/APHaP+EU07/n51f/AMHN3/8AHaP+EU07/n51f/wc3f8A8dqex8Pafp98L2E3klwImiV7m+nn2qxUsAJHYDJRenpWnX//2Q==)
Question 6.What happens to the budget set if both the prices as well as the income double?
Answer:The budget line will be expressed as
8X + 10Y = 40
The new budget line will be same as old one with same slope.
Question 7.Suppose a consumer can afford to buy 6 units of good 1 and 8 units of good 2 if she spends her entire income. The prices of the two goods are Rs 6 and Rs 8 respectively. How much is the consumer’s income?
Answer:Budget line – P1X + P2Y = M
Where,
P1 – Price of Good 1 = 6
P2 – Price of Good 1 = 8
M – Income of consumer = ?
X – Units of Good 1 = 6
Y - Units of Good 2 = 8
M = (6 × 6) + (8 × 8) = 36 + 64 = 100
Therefore, the income of consumer is Rs 100
Question 8.Suppose a consumer wants to consume two goods which are available only in integer units. The two goods are equally priced at Rs 10 and the consumer’s income is Rs 40.
(i) Write down all the bundles that are available to the consumer.
(ii) Among the bundles that are available to the consumer, identify those which cost her exactly Rs 40.
Answer:(i) Here, M = 40
P1 = 10
P2 = 10
The bundles available to the consumer are –
(0,0) (0,1) (0,2) (0,3) (0,4)
(1,0) (1,1) (1,2) (1,3) (2,0)
(2,1) (2,2) (3,0) (3,1) (4,0)
(ii) The bundles available in this case are
![](data:image/png;base64,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)
![](data:image/jpeg;base64,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)
Question 9.What do you mean by ‘monotonic preferences’?
Answer:Monotonic preference means that rational consumer always prefers to have more of a commodity because it will give him a higher level of satisfaction.
More is preferred to less. When preferences are monotone, the consumer prefers more of both the goods. When preferences are strictly monotone the consumer preferes more of one good but not less of the other.
Therefore, a consumer will prefer a particular bundle if it will have at least more of one good but not less of the other good
If we say that bundle A has 3 units of community X and 5 units of commodity Y, where bundle B has 3 units of community X but only 2 units of commodity Y, then the consumer will prefer bundle A, because he is getting the same quantity of commodity B in both bundles but more of commodity Y in bundle A.
Question 10.If a consumer has monotonic preferences, can she be indifferent between the bundles (10, 8) and (8, 6)?
Answer:A consumer having monotonic preference cannot be indifferent between two given bundle because bundle 1 contains more of goods as compared to bundle 2.
So she should prefer bundle 1.
Question 11.Suppose a consumer’s preferences are monotonic. What can you say about her preference ranking over the bundles (10, 10), (10, 9) and (9, 9)?
Answer:As per monotonic preference, the bundles should be ranked as below –
![](data:image/png;base64,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)
Question 12.Suppose your friend is indifferent to the bundles (5, 6) and (6, 6). Are the preferences of your friend monotonic?
Answer:In the given case it shows that the preference of my friend is not monotonic. As he is indifferent towards both the bundles means both the bundles give him same level of satisfaction and so he has assigned them the same rank.
According to the monotonic preference second bundle would have been preferred as it contains more of both the goods.
Question 13.Suppose there are two consumers in the market for a good and their demand functions are as follows:
d1(p) = 20 – p for any price less than or equal to 20, and d1(p) = 0 at any price greater than 20.
d2(p) = 30 – 2p for any price less than or equal to 15 and d1(p) = 0 at any price greater than 15.
Find out the market demand function.
Answer:d1(p) = 20 – p for any price less than or equal to 20, and d1(p) = 0 at any price greater than 20.
For Price ≤ 20
Market Demand = 2 (20 – p)
= 40 – 2p
For Price > 20
Market Demand = 2 (0)
= 0
Therefore, market demand function is
40 – 2p if Price ≤ 20
0 if Price > 20
d2(p) = 30 – 2p for any price less than or equal to 15 and d1(p) = 0 at any price greater than 15.
For Price ≤ 15
Market Demand = 2 (30 – 2p)
= 60 – 4p
For Price > 15
Market Demand = 2 (0)
= 0
Therefore, market demand function is
60 – 4p if Price ≤ 15
0 if Price > 15
Question 14.Suppose there are 20 consumers for a good and they have identical demand functions:
d(p) = 10 – 3p for any price less than or equal to 10/3 and d1(p) = 0 at any price greater than 10/3.
What is the market demand function?
Answer:d(p) = 10 – 3p if Price ≤ 10/3
d1(p) = 0 if Price > 10/3
Market Demand is total demand of all consumers
For Price ≤ 10/3
Market Demand = 20 (10 – 3p)
= 200 – 60p
For Price > 10/3
Market Demand = 20 (0)
= 0
Therefore, market demand function is
200 – 60p if Price ≤ 10/3
0 if Price > 10/3
Question 15.Consider a market where there are just two consumers and suppose their demands for the good are given as follows:
Calculate the market demand for the good.
![](data:image/png;base64,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)
Answer:Market Demand is total demand i.e d1 + d2
![](data:image/png;base64,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)
Question 16.What do you mean by a normal good?
Answer:A good having inverse relationship with price but direct relationship with income is called Normal goods. The demand for normal good increases with increase in income and decreases with rise in price.
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAnAAAAEtCAYAAACI610XAAAACXBIWXMAAAsTAAALEwEAmpwYAAAgAElEQVR4Xu2dB9wcVd39V6UpXaxIeYSgKEhRQEFKwJJYAUUJohDUlyavEFEiTR7408JrAUVALAmKJCgKiEpRIJIIiEoRFdGErIBgAekKiuz/fJe58WYyuzvbZ3fP7/M5mZnb77mTnfP87p07pZLNDJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGesnAM3JUVsmRxknMgBkwA2bADJgBM2AGCsSABVyBBsNNMQNmoCcM+HevJzS7EjNgBlpkoPLMFjM6mxkwA2bADJgBM2AGzECfGLCA6xPxrtYMmAEzYAbMgBkwA60yYAHXKnPOZwbMgBkwA2bADJiBPjFgAdcn4l2tGTADZsAMmAEzYAZaZcACrlXmnM8MmAEzYAbMgBkwA31iwAKuT8S7WjNgBsyAGTADZsAMtMqABVyrzDmfGTADZsAMmAEzYAb6xIAFXJ+Id7VmwAyYATNgBsyAGWiVAQu4VplzPjNgBsyAGTADZsAM9IkBC7g+Ee9qzYAZMANmwAyYATPQKgMWcK0y53xmwAyYATNgBsyAGegTAxZwfSLe1ZoBM2AGzIAZMANmoFUGLOBaZc75zIAZMANmwAyYATPQJwYs4PpEvKs1A2bADJgBM2AGzECrDFjAtcqc85kBM2AGzIAZMANmoE8MWMD1iXhXawbMgBkwA2bADJiBVhmwgGuVOeczA2bADJgBM2AGzECfGLCA6xPxrtYMmAEzYAbMgBkwA60yYAHXKnPOZwbMgBkwA2bADJiBPjFgAdcn4l2tGTADZsAMmAEzYAZaZcACrlXmnM8MmAEzYAbMgBkwA31iwAKuT8S7WjNgBsyAGTADZsAMtMqABVyrzDmfGTADZsAMmAEzYAb6xIAFXJ+Id7VmwAyYATNgBsyAGWiVAQu4VplzPjNgBsyAGTADZsAM9IkBC7g+Ee9qzYAZMANmwAyYATPQKgMWcK0y53xmwAyYATNgBsyAGegTAxZwfSLe1ZoBM2AGzIAZMANmoFUGLOBaZc75zIAZMANmwAyYATPQJwYs4PpEvKs1A2bADJgBM2AGzECrDFjAtcqc85kBM2AGzIAZMANmoE8MWMD1iXhXawbMgBkwA2bADJiBVhmwgGuVOeczA2bADJgBM2AGzECfGLCA6xPxrtYMmAEzYAbMgBkwA60ysEyrGUO+iqzdMpzfDJiB0WHgGbLR6a17agbMgBnoDgP2wHWHV5dqBsyAGTADZsAMmIGuMWAB1zVqXbAZMANmwAwUkIGfq00PCX8uYNvcJDOQmwELuNxUOaEZMANmoCYDL1LMv4Uv10xRKo0r7nV14uOoI3WxUFguZ/phSjZXnfm7wPKcvwp3C/cJZeFLwvOFPDamROMCYxPblro4MxU2ipcT1elPZnR8R4XB/6apuHFd571/M4p1UKcZsIATo+Pj3Jc2M2AGzEDLDLw/yfleHZ9do5RjFJ73AXi/0v5ReKpGWcMcPFGd+2jSwXfquJbwPGE3YRdhvrBCEl/vMKZIOE8LuHp5RiluojqbJeAeVTj33j9TZDRz/44Sj33rqwWcqD/uuONKTz01ir+TfbvvXLEZGDYG9lCHpgurCLt2oHNnqYydhCc7UNawFPELdeR04WXCO4alUwXsB1PMmwu/L2Db3KSIAQs4kcFLcX6Z1v8vzIAZaJGB1ygf051fFJjqm5oqZ1tdMw2IjSfnXI89HbTUv5TzN4EpxA2T2DnJNWF48S4SHhN+J7wtSRMf3qSL64QFwq3ClcIHU+niNHcq7lxhzShNus6LFUedNwn0eXXhewIem5sFpiZj423jQ4XbBdqJIDhcaOct5HJSAV65evYJRX47SXC5jvCNMEkb04QIQ/owT9gglaCdPmynsm4U8GQxDh8W8B7+Q6A9eBU5PiEwnsFo7yNCOQrjdC/hGoH2wvePhS2iNNwr3B+AsZsilIUHBMZ2JSHYd3XyMYE/OGgD+LyAJ5lzythfwGrdv6cojnaSljxveDp5iXCmYIljHGx9ZIDBqWlsIzLotswyy1T+9a9/DXo33H4zMBAM1PwxKVZE3d+9VFO/oGu8Zdj/Cf8RsgQGZR6SpGt0mKwEpA8C7vk63zsJu0JHphI3E34o8IBeWQj2Fp08KfDAxxAh/094PLnmENJ8IAljrd2FAkJ01SQsrvNShSEUEQyIkjuErwhMcSLmfikg0mJxNkPXDwu0E3u5gDA9Mbmud0BI0H/EamzHJuH0v5FNTNKG+uP0J+sCkfEtYWthe4E+IXRja7UP66gQhNr5AkIXfFOAjwviCnQ+V4gFHNGnCuVUOoRb7N3dWdeM/QuTdMvqOCYgsBHtrBek7+8TEIlHC7GN6+LBVBiXKwixgAtJsu7fPZO0eOxiO0MXe6TCfNlZBnL9RtVNNBBPjAaNXHbZZStPPPFEg1SOLjID+n9RmTRpUpGb6LYlDHT2N6xrpdX93YtqRfj8NLqeoHPWY+BpSlvWAzCdJlynBRzhIeygKNNrdU65CJBgv9YJD/vYltfFvVEAadIeqfUVRlm8QBEs1HlgFIboIx0enGDhQR48eC9WBC91nBal4fR4AY/Uaqnw9GVawDFbtIPA2sCbBcRKI5uoBLSzloAjbuOokMN0TpvDzFQ7fcCL+i8BERyMPiPqWhVw60VlhdO7dBLfD4RfL/xZWCZKjwC/KrrmdFxoV8A9R2UgShGcwbjXFgm11oJGSX3aBgMVT6GKvWc+85leA5fjLrrjjjuq081pTJjAM8tmBkaSgber19+Jer5A53hx9u4iG7HwYuoKC16YF+l8IyEtzvDAIEiwWmnwviGQ3pikiw942ILdk5zEYel2ILYQENfGhegc7xAentenwmtd4hUsC5TPFB9eP8QqQqtdwyOJkA32J53Q5jWSgHb6sLXK4F7A4xgMsYSXr1Xjj4XZwu3CH4WywFhmCTt4xgsbDP7CPRIFt30aBCneNrjD8MryfwChbusiAxZwItdr4BrfYZMnTy6tv/76pRkzZlTXC8Z485vfXLKIa8yhUwwlA3upV9OEcgQ8Pi8XeIh3wx6KCv1Pcv6s5Mi6KozpwVoW0jD9ljbyhfg4LqvOrLB0O/DAlSNwTb4XpCuucb2rwscEPHubCtMFPD6dsLj9lFeLy1b6gFjO4jfL45WnL4zJXGFVYRthXWFMQMgh7NKW1bcwNum07V5/XQUwnkzLY/zxck5y7kMXGQiKuYtVFL9oe+DqjxHi7fLLLy/NmzevtO222y6V+IwzWO5gMwMjxwAPLR6ea6d6vpKu7xN4kF3XY1aoF1u9Tr0hzXMz0hDG+ql2LdSxrwr6XruF9Sl/O324V23O4pdpVKY3Y0M4xmsHieMeio0XBPCgsSYPL2mR7CdqDEKSP2ZuEHgRZH6RGjisbbEHTiNrD1zt23v+/PlV8YbnLUu8ZeUMU62nnHJKac6cOYunXCkrGKIwnorlOm149UI45yF9I29fXO6BB8ZLd9I1+NoMtMUA675+mFHCowq7WthdYLowGFNa4UG9oc5fEcV16hRx8Bthi1SBK+oaMcmarJBmy1QapuKYPvxxKryVy7nKxDTnJqnMrF1jMX/8tmsr5efJE6ZZA+dM2+b1/FH+XKHVPsA1awrjNXB4z7KmO9msOO31fCUNiCxrzR8etXamRelb4AYtwHKAel66WvdvRfm+IbxD+F9htkCYrcsMWMCJYHvgat9l5513XjVyt912q52oRszZZ59dOuqooxZPtwYBiMCaOnXq4nA8e4jELBG3YMGCqnA7/vjjF6dfuHBh5pQtZQQxzhTv7NmzS2eeeWYJIWkzA11gAA/bxTXKxeuEt2WXKB4vxVrJ9Yk67lQjb7vBn1ABrxYQmBi/88cJ9whhTRZpmOrFa4IhEPiPskg4PQlr54BIxFt0kLBxUhAzPicIrNuiLa3ajsqIQNiuQQF3JvFwjqf0AiEWVA2yV4Vuq32ASwQPbygj3FYWPi1kTaFeo3De5GXtIvYuIdwnSVD1D4LHhMMEXhxAeB0tpD11IX2eI/cj+WkfY/Q1IUwjZ+Wvd/9+XRmWF5ji5txWEAbqKulheLVulVVWqTz44IPD0JWO90Hr3hj/psqVwKrmARJnufLyBmm6nlC3hNgSZXBN2jg81JeujDKArTgMFOR3rVEz6v3uMT1ZFp5Kjq9KFXaorplCowzWIp2bxPNgZhH7r4TvC3jFsoyH/l8E8rOwnvKOTYUhzvB43JWkQ5ghEIK9WSd4gRYItwisc0BExBbSLFQgYgfP2EuiBFl1HqJ4hA1tQ4R9UECkhf4SRppgxN2WgHYgDhEM9exKRdIf6qDcsoA4CEadLJBvVA7pEYwID7ySiGbscoFxQayUBTxlpAt1wmn8F2srfVARVYHJix609bcC4880xAVERkbfzhbwxPGCwpHCqQICsCwEb+obdE55rFP8uYAoXyQ8LMwVwn35hM4Re6TB4PMRAY9bWQjikLdEuQ+5R34t0GfuK/iC+/uFbwvBGt2/1yrhvCi9T7vLQL3fqMU1101UnMdC6y1ZbbXVKn//+99bL2CIc2YJoCCgdIdwb1QRb+ERBNwBBxyQmxnSUg55g2XVTVxW+ek2hDKyhGHuRjlhVxjo7m9ax0qv+7vXsVpcULMM4Hn6qdAJL2GzdXcifZaA60S5RSjjTDXiw0VoyIi0wduIMNCeQm3udp8yZcoSb6HydipTnb2y9dZbr1dVuR4zYAaKxcB+ag7eJaaAbcVhgLVzk4RvFadJw9+SZw5/Fxv30C8x1OaIFwZYc8aLCZ20+KUE+Getms0MmAEz0ICBryie7SqYlrT1nwGWA7C2kanXuQLTubYeMWABJ6Ltgat9t/GyAXbBBellG7Xz1IsJb6iSRvNzi6Ep1HrZlogLYnJsbCx3Hic0A2ZgKBhgXVi9hfZF7STrzu4WthTempzzMsKgG+KNNYMHCqzds/WQAQs4kW0PXO07julSpkinT5/eES/cDTfcUK1s1qxZtSuNYvD+sRVJbEFMbrMN+1nazIAZMAOFZwDxhojjhQWEG+f/KHyrGzfwlUrCpsV8s/bexsmdopMMWMCJTXvg6t9SYX0bQi4tptjbrda2HlmlrrXW0y9Ahe1JSMM2H/WmUPfYY49S2EMO7xtiUi8n5N6XLqsdDjMDZsAMmAEzMMgMWMBp9OyBa3wLM93Jfm2IqXij3O222666ye9ll13WuBClYC+4sD9bKOeqq66qhmUZopG6qYf0XDPdmre+rDIdZga6xADbMJQF3mBl64lhMt6eZA+z+zrQKf6KKwt8i7QzazM60KgeF8HWJXDAlh9LTjH0uCENqou3tGHzaVuBGOCV7EbGj1HNdOwz0KiAosfjFbr++utLwTtU9PaOSvvCFxd6+YbrqHDbz35KiNf8Pelnu1J11/3dq9NO1gSx3xY70g/qVhe1une8IvYXnlcrQZPhiEL2lEP41rMrFMkebSyU74QhRNhwdqLABsaMNfurfU74idBLu16VlYUpvay0Rl3jCucvcdoU22RdXCrw5ZDfpeI6ddnpMe5Uu4pcjrcRYXTsgSvyPeq2mQEzMOIMsJlxp9ZX7ayyfiEgRPjMF97ACcKFwg+EUV6If4z6z1q2flgnx7gf7e9Lnfy1OPLmNXAjfwuYADNgBorLwD4datrLVA5rNU4W+ERWMKYxzxHwnPI1iluF7/032mc9YKBTY9yDphanCq+B01jYA1ecG9ItMQMDxgBTimWBzWWZEuStvCxj7zI+bfQHoSx8WeDTR8GYSmQqj+OmAlN6jwp4hdYQNk/C+CTSD4X0R9n5puk1At6lm4UfC1sIwZg2pHwwR2DKriw8IJwrrCTEtrYuLhF4UxLvyKeErKlvwvjUF5+Awqv1e+HwjLR8VupGgf3bbhN2FfIYedhbDF5i20kXfJGB+PBpsren0qQvj1AATgvWdWUZ4u5uYTwrskYY4xI+wcXnz+g7xtQsn+t6X3LNgbL/JcBn2hqNxyrKwOfQygIc0+93RoVwH4bxZU+mkwTGlrqOitJlnW6rQNqGjSfnXI89HbT439V0dpHAvc5Yvy0Vz2Wj+zwjS7Uv6THmHg39wSvYqN43Kc11wgIBAc7nwz4oxBanuVMR3PdrRgna/T+Y9/9CqlndvYTEmtaVb+30uNCXvvSlS3zCqcfVuzozMFIM1PwxKVZE3d+9pKnv0ZF0CJgVhA0EPDeExS8x8KBj77LwQOGbpOG7keGPaAQTu1n/XThP2ErgYchDmN3tvyvwIJsskOZLQmwIt1gUMVVI3hcmiRAUY8JNAg848m8mIDDwQB0tBKNNiCK+30mf6NvBwiIh/RIDniwevpSFvVxA0ITvjhK2joAQPF9AtIJZAuIiz0sMJytdLODoEyICLjDa+2nhsuS61uGvirilVmQSzrc/Gb/AW4Pk1WjGjjyI6GCIBcIQhcGW1wniNbbrddFoPPjKwU8FhDncYe8WuKcCB9xTcE+d3AvThFcJjANhCOhGRrpDMhJRB3GsU9tFYKz5I4L7i3qD5bnPo+RLnKbH+PmK3VvIUy//T54UAv8Iqf8nPB7VENJ8IAlbTscLhYXCqklYu/8H8/xfiJrU9incNLS6iYbhyaNPM1W0UH4YuuI+mIHCM9DwF6cYCer+7iVN/I2OCKLYJumCvLGAI11aOLwxSRcewJTBQ4y8sRfvq0nYq0mQGN47vDCxrZe65pINVuN2EIZg+LOwTJSeBepXRddBmCICY8PDEQu4F+uaacfTUumO1zWettWS8C/qiOeJh3Iw4hB1rQi4wB1TosFepJP9ouv0KXuvBTGQjouv8c6RDgHdjHEfxH2hnF8LiJzA9Vt1jhctNsbj3igNcYijrPGIBTrp5gvkD7aCTmh73A7EH55cPKiNjLz1BFx8L8EP6bePCs17n2e1Iy3gSMP/jfT/pddm1AvPiNbYEMvwGow0eMBj401gyo/XPbb6fzDv/4VUE9q69EsM0Oc1cG3dRM5sBkaRAaa0EFqImtiY+owNYUE6PG6xBeH3hlQ4wgfPV7B7dIKnBe9LMKa30h4iPAqzBaYy/yiUBerOEnbUjcciWLq8rZOIRn3bQekQJ1l9Q0y8PimH8pjawjMX7EGd3BFdN3OKGH5IuFL4hLCugChNeyWzyuSBnceypovr5cPz+maBccB2Ej4uIFSDyGHKk3RpY2zj8cAzGY9vuEeyeEZIxV4wyo6FCvcOQiZ9v6TbkOc6Lpc2YqHcZu/zPPWFNHG93KvpejdSQFqc4VVGVGG0LSsN3rf7Bf4giK2V/4N5/y+kqmrvMvxl0F4pA57ba+AGfADdfDPQewbCwwEPS2wIk9iel1zsoSPTOLEhQp6bCmM6MjYewHhQnooCCcOzEow65gqsJdpG4KGEIZqCoEiCqgfqjS1dXrN9wwPH9FEwnivU8YIkgPKyxFqaq6iIuqcIQYTLEcIxwinCNcJHBcRdlv1DgfDCw7yeBUGyqF6ijDiEGV6uHQXEJB7SHwvcH+8QrhYmCgcLaWs0HuEe+lkqIyKZ+4U+PRLFNSovXX/e67hc7hks3IfN3ud56yRdnnpZVlDLQtvS/1dJT74QH/K3+n+Q/I3+L9RqY0vhFnCizR64lu4dZzIDo8xAmJ5JCzA8LrGFKcevKfBjXSIMDw3CAxEVxFs7VcV9+0tUUK2+7as0WZ6lkJXy0jwRR3mInVYMgTRVYFpvd+F44XJhHYHp2iy7TIHvFag3SzziddtawIvKerlmjDx4pfCy0Sf4wKvGdCgC7jzh1wKeoWYt3EObKGNaXDRbVrfS9+I+z2p7qHf1rMgkLKTJugcJYw1iuxbqaPR/od16lsgfFtB2tNBBK8weuEEbMbfXDPSdAR6kTHXywI9t89Q1D3Me3Dx80zauABa7t2vLZhSAZ6TVabMwddqob3NVB2vg0n2jPd8U1kzaRXmsN4rXwK2q66zp3SRL3QNTs/+TpMA7+VWBdUz0N64jXQjrm/BkIvqyDHG3ljCeFZkj7BKlebvwNuH7SXqEHH3/pFBP5NYr/kdJZJpnpubPrpexyTgEZ5g63lDnr2gify/u86zmUC9r77ZIRa6oa+477oeQZstUGu6/NQQ8pe3aXBWQ5/9Cu/Uskd8CTnTYA9fRe8qFmYFRYWBcHd1UmCYwVclarHhBdODhUJ2wRgaBEOxdOvmwENbCRVFNnzI995hwmMBifR7CRwsrNV3S0xm+owNeiRMEHnIIsv2FjVPl8WDE64cgCnHM6pCPab17kvRMcSIOWNiPcFtZODUJS5I0dWBKlunTIBARq4i624U/1SkJIT1VOFz4mABXGP3bU/iygNAK4ou4nwhXcpLDEGh4AOkr07wYXj8e7DsLP0jCmj1cpAy04yQheJrwIsLnXc0WVic9aycRsNiJAuv4mrFu3+e12sI6yFcLjCGGrjlO4P4L40CazYS9qimeHnPuS6bKT0/C2jnk/b/QTh0t5a3Uy1X4V95yNHCjjTaq3HrrrTlSOokZMAPtMlDv96RAcXV/96J27qfzsoAniGm0iQJ5mcqMPS5Mc14r8MC4UeChHHs4mP5jrQ9ri8oCXps5AlN9eI0Iw+NyrsBanhD2Op1jlE/9rOlhQTcPMOrCUzhX4MFfFpjCQ+yFRd+Ik0cERAbx4QHOkfazduxe4fMCYi20L364I+BuS3CLjjwQEWqxbacL2scC8QUCvM0XaEtZCGJKp0sY7Yx5QajRNupAkN0s/Eb4toDYzGPwjteOadjA0fk6T3scKetO4aQ8hSrN8gJcTk+l/5Gur0mFNTseiHFEb1n4lcA9hAgNHrO36BwBFu49xN3zhbLA2NIu+K5n71LkHQLlI2LxYh0rMI1OuYhjRBJTwghHwhBInxaCNbrPo6SLT7PGuNl636zSrhO4t7gHzxD4QyG2kGahAhlXvMQviRK0+3+QovL8X1iiUW1cVMLg1yuDQaqZjh/zepkHIW6TTTYpnXvuuSWONjMwzAw8+OCDpWOPPbb0uc99rm/dHPJvofaNV1fcEgOIFATgeQKiB09KeKZN0jneSLyLZcFmBorEgLcRYTS8Bq5I96Tb0i0GEG/77LNP6eabcVrYzIAZEAN4AJne3Ftgyi38ZbOczvF4vU8oCzYzUDgGnlm4FvWhQV4D1wfSXWVPGQjibWxsrHThhRf2tG5XZgYKzgBTbhOEKUKY9uZN1s2j64J3wc0bRQYs4DTq9sCN4q0/On3G47b55puXNt100+rU6Wqrsf7ZZgbMQMQAa/NYB3dVFPa4GTIDRWaAN4ZG3uyBG/lbYGgJmDt3bnXa9JhjjilNnTp1aPvpjpkBM2AGRo0BCziNuAXcqN32o9HfU089tXTaaadVvW677LLLaHTavTQDZsAMjAgDFnAaaE+hjsjdPkLdDOJt5syZpYkTJ45Qz91VM9BXBtgS42UCU7LshWczA11jwGvgRK09cF27v1xwjxkILyucc845pauvvtrirbv876ji2Xdt0+5WM/SlT1QP2UC3U8b+Z3cLvGHKliCcA8aKr2ewTxtvmbZjY8o8LqRF2pYKO7Odgock70T1I2tMa/2fgcuwp+GQUND9bljAiWN74Lp/o7mG7jMQxFu5XK6KN944tXWVATbv/aOAt8XWOgMTlTXrYd9qiWwuy2a/swU2LuYcrCGcKJwsfFlox8aU+RghLeDaKXOY8k5UZ7LGtNb/Gbi0gGvyDrCAE2H2wDV51zh54RhAvO26665V0cY2IX7TtCdDxHQZW02wo7+t+AzgjTtX4E3TDwgvKH6Th66F/j/TwSG1gBOZ9sB18I5yUT1nIGwTsvPOO3ubkN6x/35VxbQcooDvhGIcuQYHCCcJfPaKTxAdJaRtggK+K+DFY3flXwhHCqsIGwqhLD6p9R7hDwKfsrpPCMYnlHgoElcW8CzxmaZgeJ744Dl7nfH5JeoZF5YPCZLjejqyQSDpbhJ+KvCpptga1UXajwjUQRl8kmmm8Kq4kNQ5/ace+hymOj8fpYk54jNPiK92PTVllcHXheLPKEVVNjz9hFJ8O0nF55doN2OQNqbWGVO8TvOEDVIJaAPfD+Ubrr8T+EOA77QS3sj4NBnjGT5N9mGdzxf49BnteV5yxAN5kRCM9vJZrXIUxinfCL1GoL2M34+FLVJpwlcqONbrW60xzfo/s63Kor3YeHLO9RSB+5z/A38Vwv+fXXV+r8A+fdRja8AABNa0dr+LWIT822+/fUXbLRShKW6DGWiKAU2VVuR1q+hlhaby9TNxzR+TYkXU/d1LmrqCjrGA49uLL0/CeBBOExAvTNuRjoduMMQDDyYEV/hDepLOnxQQKHxgfUxACN0qIOJ4oOI5YooQe5uAoPtgck391wqIhVDm25OwFZM0CKW5wsnJdTjQXgRnsJ11Ek8N560LwRqmFVfSOaIgayotqqr64H4wDkjOA0cI0NCfj+v8cYG1Zo3sK0nadLqfKADemFJt1SYqI2O6WUYBcPt34VsC31fdXkB8XplKO0PXDwuhDO4dxpb7pZ6to0iEGvvWIdYB3/WkrAtSGefqOhZwRJ8qlFPpGH/EUTDGn7F8YRS2ts5Z35enb+NKlzWm6f8zoXi4PCSqi1PqY5z4fxTbe3XxpVTYKF7m+Y2q3qQ1rZ8Pgk7VvcMOO1R4ENrMwCAxoO1BquJNU6aD1Oy6vyc1f2h6H5GnnVkPoxAWP0ifpebjhflU1I3TdY53JC0iLlPYVlG663XOQ51yg+EtwfiGJx6z2N6oC9o+OQlE1LGoP7YP6QLvRjDE4lPCvnEinR8TXeep63ilv1Ogv8HwsPCB83o2rsish33g6LlRZoRcWfhRvQKTuLSA48WF/QX4+WKO/BvKktUAACAASURBVPWSTEzKqSXgqGPjqIDDdP5vIQjRFyfXp6UqgUOE82qp8PiStuOBiseV9Ii6VgXcehn13aWwg1LhiNN033gpJO4bWcaFrDHN+j9DespMCzjC8QTezElkP9D561Nho3jpb6Ey6l4DN4r3/mD3eXx8vBTeNPUeb4Ucy3hKDS8C0z6xNwOhhVfm/lTrEV43pMKYKsPrFOzrOsHL9UoBj1tseOywIJoe0/nuws8ExFVZ4CGMcMQbh/HwRSh+Tvis8Jqng0vHJse8deH5W0ugTYhMRMV8Ie15SopteICjhQIen2AITbxFOwjLROG1TpdXRDkC7WJ6+39TGfCUMYX56VR4q5eM16+jzEyj094g2EP7s8YPkVNPoNDWBULwxFINYon7qVVD3M4WbheY0i8LjHuWsEv37W6li/umy44Z9zrTtZskJdKm9QWm+Efewl8DI02E18CN9PAPVOfDm6YXX3yx3zQt9sg9lGoeIi72TLFGKRYm9XrDVFbayI/tIZQj/FLn1B28VkfoHGF2nLCuMCaEKSke2sFY33aqMEVAICFmmKrC8tZ1udK+WUBMzBT+InxDSHsZKTOPUW9W3+ENr+GqOQrByzmWYE0dtxHOEhCCwT6iE5AesyhJ06fpshh/LNwDgVM8cOUIXJO33gsWeO+yeMnyeFFnI6MtcwX4hJ9wnyDk4nsklNOob43qayb+O0rMHyF7J5neryPTxTYxMFACbsKECdUXDtI45ZRT2hpMe+Daos+Ze8RAEG8c2SbEb5r2iPjuVMMU5uptFB2mQL+mMsZSwPP1oaTsPXXEC8a0E9NUtYyH8pEC644Qc1zPETYT8tZF2Ux5TRLWEVjjhffvy0S0YNQbT5+GIgjDa5gWEi1UUc3yQwFh0Kny8rQjcLqvEo9FwIPJ+CGAa9m9isjihXxpQzg+IxW4Uuoaby3eYcYr7RFOl9fra8QbIu59AuIXDyp/FNjEwEAJOEZs9uzZJS34WQLTp08vzZnDb01rZg9ca7w5V+8YYG83PkjPNiF8XcHirXfcd6kmhA7TU2kRd47C8GI1sj8rAVN0YWopTj+uizclAXiq0oYnKjamUsObnzzwLxMQXjz4NxLy1rW/0r4uKZgpw08J/DC/KgmrdUCMBZHBM+ntAg/rwFHswSMdU7w/EZ6sVWCT4YuaTE9y2oyFdjPlWc9rliRffJirM8pIjx/jhYcpPUZx/ut0sb4Qr4HDe5Y13cmLMsHbF8pg6j22rHsE/uMp/1SWhpe1xrRWRsYycLmhzl8RJWQalalTvMl4X8tR3EifDpyAyxqtGTNmlGbNmpUVlSvMHrhcNDlRnxhgmxD2eDv44IO9TUifxqAL1Z6kMnlrkGP4HX6XzrcX0uuialV/qCJYSxWmOklHGR8WbkoyXaLjdgLrybAxgenC2JgmY10YdQfjnLVOiAUsT10bK90nhWcneRCGePAarYH7o9LgFUKEUAZeRYQk3OAVO1kIHE3TOVOIPMz7aXcmleMxg78LhFhQNWobohiP10ECfcZYR3aCgFi5JwnLOjDlhOD5ggBnvKjyaSFrCvUahSN4EeIY9wdtju1qXeDp4kWL5wgIqaMFxqRVqzWmtcojfWjXiTrfKUpI++4SjhHOqVWAw7MZqOd2xxPWM1t//fUr8sAtVZ8EXGXSpElLhJM2r02ePLnywx/+MG9ypzMDPWNgELcJaURO9s9M4ULr/u6ptXsKPHRIx7TTtwWmHuMwHrA81MsCHolHBKYzg22gkwsFxACCC7FFGIZnriywhouHK+eUnzamvxB8eJFuFC4SYu/Firo+Q0Aw/F5gndpnBNpNvbsIeGB4YLN+7mbhV8I8YUchtkZ14X1j64zfCJTzW+GzAqKgniH4vi8sEPAq7hYljjmijzzMt65XmOIC5/BNP8sCPDcyPH4IobyG2GK86S+iA4NfRCcCtCzgKSMdLxzQFoRI3D8E3G0JbtHxdAFR1sgQ5YzXPwV4RphxbyEkY1teF2cLeOJuF44UThUQgGVhCwFjbCkPD9fPheME+OaPjLkC1kzfssY06/9MUnS1/XcI3HvcC9y3scEv/w8Qq7anGeB+amh1EzX6se5kfJaAW7hwIe1bLOzCNWF57a1vfWvl+9//ft7kTmcGesLAoG4T0oichr84xUhQ93evGE10KzrMQLMCrsPVt11cloBru9CCFMCU/rkFaUtRmlHBZTtQtscee5RAbKyLmzJlSjXoggsuqK6P44WHvOY1cHmZcrpeMTBt2rSSNpf2m6a9Itz1mAEzUGQG8FriSbRFDAycgIvFWtZIHnYY0/jNmdfANceXU3ePAd4wRbyFD9L7ZYXuce2SzYAZKDQD31PrPpa0kDV8jdZSFroz3WjcwAm4bpBgD1w3WHWZzTIQtgnxB+mbZc7pzUBbDLD+i5c4eFt2bWFM+LhQFgbBWPx/vcDaP9be3S28TPjHIDS+ThtZt/kzgfWDjM9TddKOZJQFnIbdHriRvPcL1enwpilfVdDat0K1zY0xA0POAJ6dQfbuINjSb5YOw5Dtq04AWw0GLOBEjD1wNe4OB/eEgXibkEMOOaQndboSM2AGzIAZGGwGnpGj+byNVTMdb5zlKKPQSV7wgheU/vY3vLQ2M9A7BrbbbrvSMsssU1q0aFHV6zYq3zTVH0w1f096x37Dmur+7jXM7QRmwAyYge4yMHhvoXaDjx122KH0nve8p/Te98b7YXajJpdpBv7LwKmnnlp9YYHPYk2cONHUmAEzYAbMgBnIzYCnUEUVa+CGwJGYe9CdsL8M8LLCscceW90mBLN46+94uHYzYAbMwCAyYAGnUfNLDIN46w5mm9MfpH/uc59b/eNhMGYVB5Nzt9oMmAEzMIwMhO/LDWPfcvfJLzHkpsoJ22DA24S0Qd5gZGWz0bLA+jk+kTRMNl+d4Vub93WgU7wxWRb41mr6008dKN5FtMEAnxJj+w7u4Y3bKMdZe8CABZxItgeuB3faiFfBm6abb755adNNN/UH6Yf3XkCMTBjS7m2rfvGdzk4Y216MCb/IWdgVSvfNnGnrJePbrnzrc9N6iUY8jv3v3p+TgzGlGxdelDN9M8k2VOKZwiKB+4VvyPKd3x2aKWTY01rAaYTtgRv227y//WOt26677lo65phjSuPj4/1tjGs3A4PHwJ/U5Hs70OxHVQYfn+cD8Lb2GRhTEccInRZwO6tMxP3vhE0EPLb8YXSh8APhSMEmBrwGTiTYA+f/C91igDdNTzvttJHaJqRbXLrckWVgnw71/OcqZ/MOleViusMAX5CYLZwszIiqeELn5wj/FvDG3irwqa2RNnvgNPz2wI30/4GudT6It5kzZ9bc4833Xtfo71XB+6uisvCYwDqxV9ao+C0KR0D8IUn/ZR1Xj9KGdUccmeL7pYDHCI/DGgLCg7BHhB8KLxBi20sX1wh4Lm4WfixsESVgSop1TWCOMEUoCw8I5worCbHxSalLBD7HhAfsU0LW/n2EHSrcLuAx+b1weEba7RR2o4D36zZhVyGPkedhAV5i20kXPxWI/5XwfeHtSyZZ4oppQabi6D9jhnEMnPCpppME+KC/R1VTLGlw9HmhLFAnIuILAt6hNL/vURhjzaet7hOCNboPcKocLzDW4Bbh60Lay7WewvBIEX+TABfhu6E6rdrLBUROWWAq8lKBb4rGtrwu6NP9AmscEUerLJkk8+oTCv12EnO5jnDL/R0s5op7Aq72juJrnR6hCDiA1yxD3FHXeFbkqIVBVMftS1/6Uumhhx7KVe6qq65a2m+//XKl7VYie+C6xexolhtvE8Ieb3zb1DaUDPCQPlNg3dAXBUTPZzJ6+jaF8SD9H+FrwsoCDz3CWNPDNx63FHh47S5MFxAUCLfzBOrgt/ojwmpJ2P/TMf7h/KiuTxB4qGNMQ/1IQFj8RVgovFQgnoc4P9C7CAjOmQICjDIx/rBHOFInYpL1R9SV9ZmQkxVOW7cXEI6IhvkCfaQ/2DoC/UUQ8t1R7HMC7UkLsyR68eHVOqOOqVHEC3VOWe8WLhNo7ynCQQJCLsvOVeAFAgIyGGLlagHh+SGBa/qxhwAXPxHmCdizBITzigJiGqG3rnCtgOBj3GN+dVkt5xXCZ7mQ5bkPVlC6AwXE9x0C9dL/7wqvFxCc2LcExjcIYcZ7jhDqYtoRUQdPiD3ynSbQp1cJ9woY6RH/cHmVMFH4NBEN7P8Uj2CDv0kCYx8scPUcBQSuEPCsZUQc1hJn5H+rgMCH3yyjH9cLuwncB9zbtjoMhBsmMwlfYkibEpInN9L5e339wQ9+sPKVr3yl19W6viFk4IEHHqjoiwoV7e1W4byR6Y+Hyn/+859GyYYqPvOHpHiBdX/3kub+RsebUk3nYUZexEQw0uEpie2NuiDd5CiQBzVhsRfvq0kYQiYY3ju8GrHxkE7bXQqI20E8D78/C/Ef75fqmod3MIQp7UAUxHadLmJv0ot1zZQWwiC243WBUEJsYojbfwnPT645EId3D1HVyOCFNgcL3DHdFgwPVSNPwApKQ7/2j/KFsLgdCBC8n5+K0iEYyPv2KIxTRCoCPhj8/k2g3GAIJCzPfYAYHQsZk+P6OlL3xsn1sjo+JaS/E3pMlA/OGZuYc0Q1nMMn9hKBcUFMx3aSLuL6UtGLLycm6TZLJQhcIVhjw5PIHw4IuywjnHoRevUMAUi6reolGoG47nyJgTfuHnnkkVz8rbwy91R/zR64/vI/LLXjeeNlhc0226z6wsJqq4Xn17D00P2IGMCTgNDCOxbbL1PXCAvSnZUKD8LvDQrHixQM4fPb6PoenTMNF3s47tY13ofYltPFbAGhF0QJdWcJO+p+MspMedtE11sn5wi22OjbBlHADjpHCOKFio3yaQMeox8IlLdAQNgEe1AneJhaMcQwQuBKgek/vFF/FL7USmFJHrxJweAbD1XMMaIRi9NxfWISHh9u1MXjUQDCJe99gDB7uYBID1wjKDHG8tcCwgyhiPDaUMBzyNgcKwTjvkpzzkMZTyxx2GsExGDWOCdJWjrU4uoGlfYBYUsBT2AtQ5zlsWdEibjfThAOEVYVEOBDb/FfYR3rLFslDJJ5HdIgjVYx2xo+SL/33nv7TdNiDlGnW4X3CXsgVTDCJLbnJRdMp7H+KTZEyHNTYQ+nrhETPIx4sAcjLDzUCaOOuQLCASF2P4EyHuAIu7RRb2zp8prtGx64GVGBPFeoI6zTo7wssZbmaslW1b5CCOJ9wfuF1+kU4RrhowLirhVrxEkYx7/nKDx9T5Al732AKGaqFjGCBwsPGdOheFPjseReOkzYR5gm/EFg3R5iFqO+lYRych0OhIX7I+84p4poeBn6muYhcBfi0wXhHaRtiN16FoT1oiTR6jpeKCAQ8WCOjI1UZ2uNqj1wtZhxeB4G2tkmxH885GG4kGnw0GBpAZZ2u4Ypx68p7VgKpP3Q08W09S8eFR5qiKjwcG6nwGb7xlTeWAQEB32bmTSC8tI8EZXmKkme6/B7pZoq8LD/sPAy4XIhS7DmKrBBojCOiIVWLO99MEWFI6iPExBvtQzBeaSwtoCY43qOsFmSgfrw5I6lgHjCw4flHeckee5D6Gt6zMN1iM8qEG806wZr3Rt43fDo4nH8a1IA3uTdhO8l1yNz6IqAmzx5cqkRisSwH6JFGo3Bagtvmu6zzz7VbUKmTp06WI13a9thAE8ZD0geJrFtnrr+s65/LWySCudyXHhTRnizQUyDpQ0PXXqaNZ2m1nWYUmvUt7kqgOm8dN9oD9N6ayYVUN76Qrwei2murOndJEvdA1Oz/5OkeFTHrwqIGfob11G3kCYjf5yk3yKVD6/f4TnKynsfZI1l4DFUs4pOPp9cIPYQPbsLiJuNkvAf6Qjnz0muw+E9OjkkuUAEMX6NxjlVxOJL8mJhKpNxwesauGKqNDauEZrpaeg4zcm6wNt80JJZF1+9V2f8gTAexTM1XE8UkpT7jbYNlXVFwNVi6IYbbiiBnXbaqVaSvoTbA9cX2ge+UjblPeecc0q8aaoXFwa+P+5A0wyMKwfrRZjCwvOzroCQSNuhCmBqjIdPsHfpBM/RTVFYq6dXK+NjAlNqPLB5oB4trNRigd9RvlsFpvEQWYiK/YWNU+UhSvD68bANcUyfkg/P2D1JeqY48ZKw+JwH6crCqUlYkqSpA1N/TJ8GYYNYRTzcLvypqZLyJ2aKbp4wLgTvEF4/OL8iZzF57oNLVBZ8cx8xjisK46nyudcOELaPwjln3V0Q3yfpnPWUCCL4wTYUPiPcnFzD1ZeFDwpvENADlLNnEt/ocGeSAEFFmy4QENAxV8Fjua3CEY/cl/9I8mUd+GNnqoAo/pgQBCic0C7a+0nh+0IzBi+/E9KCtpkyBjJt3QWFzbwed99991XWX3/9yllnndVMtq6n/chHPlL5whe+0PV6XMFwMMDbpfK2VfSyQmXRokVtdepZz3pW5cknn2yrjEHLPCC/gnV/96I+7KfzsoAnCI/GRIG8TGXGUzo8IK8VWLfDWrWLBKaKgl2uE7wTeFTKAt4TpsQeFPBIEPZK4VzhgSjsdTrHKJ/6WWeEh+M4gbrwFM4VeJCWhScExF7wglypczwY/07ieRhjHGk/D9t7BTw+iLXQvvivcATcbQlu0fF0AaEW23a6oH2IigUCvM0XaEtZqPVgpZ0xLwg12kYdPOwRI78Rvi0gNmsZD/8/CmFsSM/UYxyGwESAlAX4gBfaGAzhCQ9lgX4ynpOSyDS/pKH8tDW6D0iPV2+hgACmDoQf7WbKEEGGmEEIwSf9/5WAuNxRiI176DvCXQL3HGneumSS0vK6Pk3gvuFeQ0DuLVAfAg+hXM8Q63DIGJwYJYy5Yrr7VmFqvYJScfzf+KpA3nAfn6/ztLcwzoZIpN1Zf7hcqnDaAHfDYpXg+qzXIQipmY6HR73M6bg5c+aUjjrqqNKCBfwfLoZ99KMfLU2YMKHE0WYG6jEQPkhPGjbobfdN02WWWab0xBNPlCTk6lU7VHFaslDz96RAHa37u1egdropZmDYGcALiUA8T0Bk4/nN0h0IOEQq4pE/qIbdKrhMe2qrrLJKaeFC/rgojnkNXHHGosgtKZfL1W1C2Ji3E+KNvvreK/KIu21mwAwUgAG8tDsLeAbxSn6uAG0qRBNYr9Bxu+WWWzL3gXv44YerXq4ttkivA+14E5oq0GvgmqJrJBOHbUIOPvjg0iGHHDKSHLjTZsAMmIE+McCU9QThncLf+tSGwlXbFQHHRqa1bPXVVy995ztMyxfH7AUpzlgUsSVsE8KbpmzO6zdNizhCbpMZMAMjwADrJ1kHl2VfUuDLkohv6HidwMszQ21dEXDz5jENnW2veMUrSmussUZ2ZJ9C7YHrE/EDUG34ID3bhPhN0wEYMDfRDJiBUWSAl2JGzroi4LbdlrWEg2P2wA3OWPWypdOmTSvhffMH6XvJuusyA2bADJiBPAx0RcCFilkLd9ttt5XuvPPO0sYbb1zacMMNS+utV+9N7zxN7nwae+A6z+kgl8ibpog3XlpAvLX7pmk9LvzHQz12HGcGzIAZMAO1GOiKgLv//vtLe+65Z+nyy9naaEk74ogjSiecwNYxxTELuOKMRb9bErYJQbRdeOGFXRVv/e6r6zcDZsAMmIHBZaArAu7oo4+uijfE2lve8t+9DC+99NLSiSeeWFp11VVLhx3GBtbFMHtBijEO/W5FeNOUtW68sNBNz1u/++r6zYAZMANmYLAZ6IqAY7PeGTNmLCXSWBuHeDv77LOXiusnjfbA9ZP9YtTtbUKKMQ5uhRkwA2bADORjoCsb+epTQ6VtttkmswWEeyPfTGoc2CcGLrroouoGvbxp6j3e+jQIo1ctnzkqC3zaik9mFdXiT1DxPVRbbxiYr2r4tFWjj7T3pjWupZAMdEXA6Xunpd/8hi9fLG3XXnttifgimT1wRRqN3raFbUJ4YaFf24R4+r63493B2vi2JB8P59ugdwu7RmW/XOd86udDqfr4UWRXeTYi5dugY0InPmafqqbly6nKOSWV+5u6pj/dtiNVAZ/oWa7bFQ1I+WzlwPdebe0xMFHZP9leEUvkZiNh/r8/KfD/n3PAt2R/JsS/A7rsrnVFwO27776lww8/vMTLDLHdcccdpZNPPrlEfCvG90p54KVxyint7dfnh2grozHYecKbpuecc071TVPv8TbY49mH1r9adfKxbWxT4cKoDW9OzsMxRG2kEz5AvokwK0pflNOpakhawPWqbTws+Cj6U72q0PWMBAMT1ctOCrjvqby1hLIwNznnek3hF8J3hX2EnlhX1sDxggJTpekNe9lC5Be/+EVbW4nMnj27NGXKkr8xCLB11llnqfC8DOKBe/JJBLVtFBjo5TYho8DnCPfxCvX9QOFNQjwNinD7g/AGgT+SgyhZRed8mPtewbYkA2fpEtjMwCAygDfuY8JU4ePCzF50oiseOBoeNvPF6zZ//vzF3rhu7APHCxOzZs1qmS974FqmbuAyepuQgRuyIjf4KjXu30LsaVtW13jaPiPwyZn4w8876frqGh3ir9Ky8IBwrrBSKh3i74wkze91ZAqX6ZxgrE9j2hYcIJwkUNafhKNCohrHZymcaaCthUnJOdd7pNI/Q9eNymW6FS9FWVgkXCrARz37oiKZVqbtGyYJEcShP6/T+UUC08+/E96WpIkPE3SB9wMv3s0C3hCmZeEtGEL7OmGBcKcAz3hOgqXrvFgR1Mk092uE1QX69qhAHVsKaWPbhZ8LCPiy8GWBfI1sbSW4RPiHwJh9SoDvtBF2qHC7ABfcC4cL6bT1+EjfK8cp/18F+L5AwPLUg+fpbIHvlHI/wsm4sLwQG/f9TwXS/Er4vvD2JZOU8vD2EeWhDsaDchBJr0qVE19yPyCquAe4n8HnowSN7oc6RWdGsZ71zwK8FMYY1JpWqWHylFW01i38B6we9RH7ij6zVSNH42DKo9y0ScBVJk2alA7OfX388cdXtOVJ7vROOJgM3HTTTZWxsbGKtggpTAeWW265yhNPPFGY9vSiITV/TIoVUfd3L2rqT3R+V3S9g87PE9blN0+IxRMCLD2ter3CbhX4liMfkX6fwIPgaCEYAosHIA+vIAberXPW301OEq2sI+KJOhEv0wQebicmYay5a2RzlQChlLYVFJCnXB5cLLqfKeAcQATwwCTsxUI9ox/UsWGS6Pk67p2E4encRYCfHwoIU/ob7CU6QYAgloJTAiHKtAriD0MgcP2B5Ho5HZn2Zt3dqklYXCfCE6GIAEd43CF8RUA0I+aYCkdAxcKJ9IzJBwWMNl4rzBPqOUuIQ5D8VthAgO+DhUUC3MU2QxcPC3CBMeaIX8Y5WCM+4nuFvh0jcK8wVkHA5akHEUb/VkwqRijNFU5Orjm8UEAEh/uUvn5auCxKk4c36mLcX5TkW0nHa4RPRuVknY4r8MGMiDz3Q0a2xUH8ERD3gYjnCHyvlf+nvTD+vzS0uomyfvB/8IMfkKcq4BBXAUHQtSrisgSc3mit1pUl7LLalhX20pe+tFqGMfwcbLTRRpV3v/vdWbdBX8KWX375yuOPP96XuvtVacNfnGIkqPu7FzURLw9pN0rCTtBxanKOl4SHdzCEGg/n2K7Xxb3CMlEgIgXvXrD36IQ60guk5yuM/MEom3ThIUw44g+PER6dRjZXCeoJuLhcHsSPpMrFk4ZHEiEUDLGAVyl+qEfRi095wNP2DaPIEHZQFPbaJN32URiL/RG9a0RhnPKA3SoJ+7WOeMZiW18X1MkYBgt1MjUeDNFHOrw5wfZMwmIP3m8Uhjcqtjcm6Si3loXx3TmVAG/hfVEYIhh+T0ulO17XCIfVkvA8fIR7BW9YMMaNduath7GNx5pyPiTEbQ79f9niWp4WYftF13l4o493CtzPwbbVyRui66zTcQVmCbi890NWmYSlBRzczxS4T95bK1OHw6mrodVNlPUQwNO2++67Z0VVw2vFZWaIAtMevYSstsQbxZ900kmV6dOnN6re8QPKwMyZM6ueN31ZodoD7puimAVcw9+ffiWo+7sXNQoPDWnxeGG8iRYe6l/QOQ9cHnSIBTxJabteAXh7YsOTxEMt2Fk6oQ68GbFRPuvrgjcqPJSnp9L9QdeIq0Y2VwnqCbhG5eKRui2jEoRrWjylkwXhtGEUEcIQbcFeohO4QPQEq1VviMdrQx48oGlDbFwdBWbViUgg/w5ROs4J2zwJC3WcGaXhFFFJuv9LhceXn03SvCCVBiEWi6EpSbrdU+nenYTjycIa8UGacK8cnuSJD3nrQcQjrrnnEVdlAW8g/cUbhyHwEFB3CZ8Q1n06ePG/eXnDo8q9Tl17CUGspopb6nJcIWkB18z9sFSBSQAC7p9COQH9v1zYKcqwic5nC+cnxyt13DqKb/e0wgB03HhR4aCD4j+a/lvFXnvtVTr/fPrTmvESA8/gGOmXGpot2WvgmmVscNKzTcixxx5bkojzm6aDM2yD1FKmoO4XmBp9rsCD8Z6kAwg2PGv8qBPPD3yWPZQKZBou9jQ8L4nn4VWOgIhhOo0HUmyNykslz33ZqFza+VKhnAIenfBAz11ZlDCuF26wND9/r1Nw4I8puLSRL8THcVl1ZoWFdoQy9lAh5Qi/1Dn5uDdqGfxg6falhUeo4zSlLUfgmjqCACRdPT6oK1i6TsLz1nOE0n5OOE5AmI0J0yhAtlxyRNDhBUW8HCOUBZYdbJrE5+WN/zv8H4KTmcJfhG8Iaa9rUmzdQyv3Q1aB9GMswTo6IjJjzznLIRYJCG7uC/6IwrueFuoKas1it31rJdTI9fDD/K4sbaus0s7/46XL60SI94HrBIvFKoOXFRBuc+fOrW4TIg/c4gYGwc7RZgbaZACvwI+Edwp4QH4clXe1zvHA8cPOQzrPNGaUffFp8MLwF332D2tWrt6H0U48Ea/ucdXUu3qdAR74oQAAIABJREFUOgN/WSKKMDyE7Vqo42sq6GNNFnZvkp62IEyCpb1MoY59leB7depoxEedrNWovPUwjcw0/g8aFPh7xU8VDhIQM0yHIsgQPc3wxv8tgBd2P+GTworCu4RmrBf3A+1BzOENDXaJTlYVthGyPN1R0nynXfHAaYq09PWvfz2zBaeffnpJU6yZcf0KtAeuX8x3p97wpimfx0qLt+7U6FJHnAE8bSxgPlqIp0kf1fW1AtNyTA22KhQQiBgCLrZX6uLsVFg7l4jN8FcNU1+sMWrGaCdTxXARG57CQ5opqMm0PNTXE9Ii7hyF4bX5s/AbYctUueTBgxOL7lSS3JfU8WshPUYUMC7wxmMtuy6J2DqVYPPU9VxdM0bpOpZV2DeFNZP0jfhIFbvUZd56qDdtoQ0h/PU6+Z/kgv8PXxWOFF4ocI/l5W1/pX1dUs6fdOSPoTkCL1/Us/ieRu+8XcAr2O37gTbxW8AfNMFW0gn/v3jhpiPWFQHH9CnTpGy8yya7AVwTjmekSGYPXJFGo722IN74LBYeN615K/wH6f3HQ3vjXZDcQbStrfZck2oTcS8Vbmijrfy1/hPhJCGIFLwzXxBYW9Qp+6MKWispjCmfg5ssmPaxLuhkIUwtIlw/I9zcZFnNJKdePJMcwzMNr8z2AgIa+4SwmbBXco34OEVgiuv0JKzdw6EqYAchXsROOz4s3FSn8O8oDnHPCzCIStqGYNk4lQexM0PAkxXimEUjH9Po9yTp8/CRKnqJy7z14FHaTnhjkntMx4+kCsbzfIQQhB33BaLudgEhhuXhjf7icXt2koepPMaTqdl6xj2NcMLzRRl4SJmG78X9kG4X3sfrhXBPpuO7cl2pV2qtxeC8acrLDMq7GFlvkdbK38vwz372sxV9A7OXVbquLjCQd5sQCfbKf/7zny60oPkiV1hhhco///nP5jMOcI56vycFiqv7u5fRTh7AwVMWR78m+Q3cM5UHIVYWnhAeE36exPNAekTAc0B8EFQ8hE5Nwn6l440CU3X8RY+9ReBhRbtZk4e4w8NRFiiLMpnuqmevUCRCA+8EghMPX7Pl4oFDkCAsaeM84a1CPaOtTB3Sdh7qPND5Kz8Og793CJRLOrwonxaCbaCTCwU8HvThEoGw2PDGXScsFEj3TeElUYKsOvEcImioE4H0QQEBdW8UFnsX36BwHtCLBPqP+IbXRsY4My36D4GyPy8g1hAbZWEnIRj135bgFh0RoAiU2OrxkR7TsjKmvZeU1agepi95MQR+fi8wLYpYhyv43UWgX7QP7yQinnvr2wJCNbZGvOF9+1aSn3J+K3xWSHt7lyz1acH3fQUuEGjDblGCRvdDuiyuuQfLAv+nwksM07MSpsKYLka0TsiRNm+SSvjPXy8Dg1EzHc+Repn5nNZtt91WWnPNNdv6AkO9OtqNO+2000psOMzRNpgMsNZtn332KWmPt9LUqVPrduJZz3pW6d///ncJz2u/7dnPfnbpgQceKEnI9bspPatfXseavyc9a0Tjiur+7jXO7hRmwAyYgSoDawj8QTFN+FkHOangfu2q8Tmt8FWGrlbURuGexmqDvAJk5U1TxHe/PkhfAArcBDNgBsyAGSgeA6upSXhh8dIh3pj6JQwPZdvWFQGX5+PyfC+1KOY1cEUZiebbMT4+Xrr44ov9skLz1DmHGTADZsAMdI+BlVU007dM9TKtzzKI1wo7CEd1otquCDhtiluzbauvvnppq622KhVJwNkDV3O4ChsRPkjPm6a8rBBvE9Ko0UUa7yK1pRFvjjcDZsAMmIHcDByvlLywAWLjpZOOWFcWAbEsLgt6saHa6KOO6oj47AgBFGIPXMeo7ElBYZuQcrlsz1tPGHclZsAMmAEz0CQDvMXNet80OiaAuiLganWStXD6bFVp2jTW8hXH7AUpzlg0agmibZC2CWnUH8ebATNgBsyAGWiFgZ4KOBq49tprl/jUVpHMHrgijUbttjBduuOOO5Z23nnn6gsLq63GWtDmzYK9ec6cwwyYATNgBorFQFfWwN1yyy2lRx5h26Eljc9rsc2D9oNLR/X12gKur/TnqryZbUJyFehEZsAMmAEzYAYGmIGuCLjNNtusJiW8xHDuuefWjO9HhD0y/WA9f53DvE2I773894FTmgEzYAbMwH8Z6IqAO+uss0oPPfTQUjzfeOONpYULF5Ze+1repC2O2QNXnLFIt8TbhKQZ8bUZMANmwAyYgVKpKwJuv/32q8ntlClTSvp0VemEEzr2Jm3NuvJG2AuSl6nepQvbhIQ3TVtd75bVYo93FisO6xADrA/hc1h8A5JPO03pULkupn0G5qsIvof5pPC89osrTAl8roq+8T1U9h2LPxfVSiPJz2fK1hX+Vzi9lUKcp/sM9PwlBj50f+KJJ3a/Z03UYA9cE2T1IGnYJoSqBuGD9D2gxFUUk4ExNWtc4MEZjO9sjgls3DnqNlUEZAnYHRX+d2HTiKAxnY8LMZdRdEdOt1UpwyhG7la/4K9TbwdeoLIm5GScb6jyjdjaXpucBTlZ8wz0XMBdeumlzbeyyznskekywU0Uz5umm2++eXVj3nbeNG2iSic1A60yMKaMxwjdFB2ttq0I+aaqEVkC7lGF/1HgY+DBxnRiLiNCBuQUbyafhXpgQNo7VM3syhTq5MmTM0lasGBBdQ3cEUcckRnfr0B74PrF/JL1It74IP3BBx9cOuSQQ7rWqCIJ9iK1pWuEu2AzsCQDP9fl5iZlKBhgu4nXDUVPBrATPfXATZgwocQLDkVa/8aY+SHa/zv3oosuqm7QyzYz3RRv/e+pWzAkDHxC/fh20pfLdWQaC2GSNjxQZQEPxbkC30OMjY9bnyGUhd8LNwrvXCJF7YvtkvR4shYIHxbmC/8QaA/rvDg+IfBB7WC0lwdvOQrjdC/hGoGpuJuFHwtbRGk21HklwRwda/XtWYqj3q2FSck513sI70+uKWd/AavF5eGKo52kJf8bnk5eOkVHpmCJI28tW1sRlwjw8SfhUwK74qeNsEOF24XfCYwDdYe06X7vrrjgdfpMku59Sdh9Op4mwEGwZXRyvPDLBLfo+HUh9tzCReD2AJ2fJHDP0O6snfvjsb9NaXYVsizv/UX9ZeExgXvolVmFpcJY7xnuL+6H2D6iC+4hlhL8SpgpvGrJJL7qBQPcVDVNn8waeJs9e3Zl9913H/h+DGoHNFVa0ZRpRevdetKF5ZZbrvLEE0/0pK5Glay44oqVRx99tFGyoYqv+WNSrIi6v3tJUyfqSLqsfZOuV/itwpeSeB7wCKmjhWA85H8q8KBjLRH2buE/wuTkutZhHUUgTM4XyAu+KTwssIYptrm6iAUccacK5SVSPS3cYiGws+IRES9M0i2r45jAQ7lR38gyV0jXS/gKQizgCJuYhKW53DMJT3vsEL0IwlqGcwLh8FthA4E6DxYWCYis2GboAt5C3S/X+d+EsFg73W/W0W0ifFSgHwi2s4VNBRb9Exa3DdGO4FxPwBj3/xOuFYJI5MPn1EteBPQ0AcFDGwhDsAXLGvtZikTsxWOf9/56j/JRByIWnuDre0nYQTo2Mu71WMC9XdfcN0Gg0n/+MPhko4Ic3xQDjFlDq5toGJ4sc+bMqbz3ve8dhq4MXB/kbato38DKokWLetZ2C7ieUZ1ZUcNfnGIkqPu7lzRxoo6kS4sOonmo3SvgfQn2Q51cFV2HB2fae4IHhPz17IuK/Jfw/CjRajpH1LUq4ILAiOu9Sxfphzht+7MQ943FzXHfKGOu0K6Ae47KQFwhOIMtr5NFwrOjsPRp4BYRGtt1urgvCnixzv8tIMJiw2OGZxNOg9FvFuzH3jVeWqG85aJ0f9A5gi4YYnIsuuYU7xX3zsZROOKJsHj8qIs1g3gPg+Ud+7z3129UMKI8tkm6oC3psU8lq16mBRzc4aGMeeIFkjdkZXZYywxUuLG6YnfccUfpwAMPLLEejilKjkceeWTp/vvv70p97RTqNXDtsNda3vCmKeverr766upLC70yT5n3iumRr+dmMcAi72B4SII3i7DwQMMTExsP060EvDK1bGtFMG2KpyjYgzq5o1aGHOGIkNkCU4m8ZFAW8KJkCTvaGPeNqbS4b7rsiAVBikcrCEammK8UEFi1DH4wBFtsTGPGtoMuKDdrDBBUr0+lv0XXeEiDIejwRiKmg6W5eEoReNd+JJQTzE0SZ3EbT8VT171CzG3esc9zfzHFynRpI56S5uY6zFOqtQQ43UtABPNHCWNm6yADXRFwfEpriy22KMmztbipCDe2D9lggw1KxBfJ/EDv7WgE8cbebqO+TYjvvd7eez2u7aFUfTyMY68Ea9SwnwnlCHhO8DrFa6SqCSPDc8Q0VdoQca0YbZkrrCpsI6wrjAkIudi7pMuqNepbSNeJ49dVyAuEtySF7a3jOQ0Khh8szVGanzAGeODKEbimj9QbW1a/s8LicUYk4n1FJL1MGBOCwGyF27xjn+f+ysvTEiQ0uLhc8W8W4Hqm8BfhG8IaDfI5ukkGuiLgTjrppOr3Tv/whz+ULrvssmqT2BLivvvuq4YTXySzB653o+FtQnrHtWsqPANhKo/1VGMREG54LZiKq2V4ZZ6bERlP+YVohOMzUmlXSl3jrcHLw3qwok2T/ERtQkjizaGNrNHCo1PP4AdLc5TmJ4zBvko7FgEPEmkRIO3aFBXAGBwnxJ66VsvNO/Z57q+8PDXb1h8rwySB9XrcU7sLX262EKevz0BXBNz5559fOvTQQ0trrLGk4Ob62GOPLRFfJLMXpDejwQfpw5umCPp+mce7X8wPXb2sncKCOGK6Le2xqddpptQwBFxsTGnFa6hS0dVLvDnrC/EaOLxnWVNyf1V48MaEstJvGbJQP214kdqZFoWfwA3tZB1ULavHJWux8OC8Q+AlgdkCYfUMfrDg6QppN09lmqtr6k6PAXx8U1gzlb6Vyyxu2yk379jnub/w9P5WaMRTM/3eX4lfl2Rg2QDr95iO46UMWwcZ6IqAo31rrcUfMEvbKqsw5V4ssweu++Mxa9as6h5vCLepU6d2v0LXYAa6z8CdSRX82DEVxuLzWFA1asFFSoB36SRh9SQxXp8vCHc1yMxWGqxBIy3CjfVynxbSU4QUc43wGmEjLmTvEtI/0Fcr7DHhMIEXBxBeRwtpT52Cchtes1DPHjo/uE7ORlx+XXmXF6YLnDey7ygBa9NOEBC1iCiExcapjH/WNR6ig6I41sSRD0/oPan0rVxeokzUf6QArysK460UlOTJGvtTFcf9EFve+4u2bCpME7iPmT6nra0aHPPGaXjJhIf+ZoLXwLXKaBv56v6lk/Wamda/VdiaI5jqrsybN6+iKdTqdh3EF8kuvvjiyjve8Y4iNWmo2sI2IbxpqpcVCtGvFVZYofLPf/6zEG1ZaaWVKo888kgh2tKrRrTxW9TLrHV/96KG8KBHqPAm34kCQqwsPCEgiMKCdB5ejwh4e4gPwgaBxMOXsF8JNwofE4LnSqc1bTvFsCifxfx4URBmTC0iJGND+ODRwxN3u8DDOTzwyzoPe70xjUp5fxdo93HCIgEvzVyh2b69QnluEuDmBgGv354CfMEvU7XfFoKluYyiqqfXCvPSgXWu4fh7Ai9C3Ct8XkCsMZ1ZFnYSgiHgbktwi45sFYIwxmr1u6y4xwXKZ+ywBQLjQVj56aDqvx8VFgoIQvpxqAAHjMnJwluEmBeEOX8MlAXuGe6deNo4Hnvq3C+J554jDyIcy3t/kZ98vPHKPTBRCGMEh1mGB7gshHudc7y2eN++JTDuNwvcm58VQpt0ausAA7l+o+omyvrRnzFjRkVr3RZHqaFV0bb66qtTVlXMFckuueSSytve9rYiNWko2vLAAw9U+rFNSCPyiiTgVl555crDDz/cqMlDFd+BH65eFFH3d68XDWixjiwB12JRhct2plr04cK1yg0yA/1hoIKruON22GGHlVZdddUSW4mst956JXndSrx5uOWWW5Y+/vGPV8OKZF4T1fnRCG+acmSbEN44LYp5vIsyEm6HGcjNAJ6dSQJTqDYzYAbEQFcEHMzutx8e2act3k6kiKx7DVxnRyWIN/Z249NYRRJvne2pSzMDZqDLDDA1+WrhfcJcgelcmxkwA2LgmWZBi0200bDmqExFBxgI24Rsuumm1RcWLN46QKqLMAONGWC9193ClsJbk/NhWHOEk4EXOg4U2llY35hBpzADA8ZA1zxwg8SDPXCdGS22CeFNU7xuRX7T1IK9M+PtUgrFAOIt/WZpoRrYYmN48cFmBsxABgMWcCIFAWcPXMbd0UTQqaeeWjrttNOqXrdddtmliZyjndRicrTH3703A2bADLTKwEBNoU6YMKE63ZnGKaec0mr/q/ko76mn+FydrRUGEG/nnHNO9WUFi7dWGHSeIWFgN/WjLLAeg20pbEsz8GkFsfcaHLFfmM0MmIEuMlB3cVgv9zdga5J4f7lQt/qeGZ63bVqvVd3exGidA7aJ+cAHPpCX8r6me85znlN57LHH+tqGULk2tq489NBDhWhLrxrRxd+qThZd93evTkXMaljA1SFIUW9MOMoj4MaVNuzqX7/U5mKfq+TsO8ceZUw//0lgj7l9hIFybDTXbaceIgYqQ3Gjat+5Ejv9t2p4kHbYYYfqNKqRjwPt8Vb1tk2cOLHE+c9//vPSN77xjYGYiva0Zav/U5zPDPScgWNUY6cF3AYqkw2Gx4Q3C6wdBEcJRwhsXLucYDMDhWZgKARczPCBBx64eIqV8zzmlxjysPTfNOVyufpNU7YJufDCCxe/aWph1ByPTm0GzEDPGeCTVgg0vl7wfgHvG4bX9CcCe83xRQq+jmAzA4VmYOAFHJsFT58+vfrW4/z586ubBwcvGueENTILj0YM/TeebUJ23HHH0s477+xtQvLTVjOl772a1AxKBN/XLAt8wogfm1pvTfKpJD5P9Yck/Zd1DN8/1WnV+OzR54WywP5nfMuTTypNELCwdowjHwbnk0x8xiheT/ZyXSNQysIi4VIhfANVp1XbS7hG+IXAp45+LITPaVUTyPiO5WkCbcBbBVhszNRjML5xeYZQFn4v8Bmwdy6OffpkeR3oE5/NelD4pkC+RratEgRxNZ6ccz2WZIy5om7auXcSV+/Ap7w2FD4nZE2T36Hw7wofEfiUlc0MDDQDWTf54g71at0M9bAGThUvhax1caQ/4IADcn22SyKvss022/SyKwNZF98yldetMnPmzMz2y5NZefLJJzPjihRYpO+P6oslFW18XCR6ut6WAfk1rPu7l/ThPcnvEd+1XEFgag7xRN74JYa36Zrvb35QwPjwfPiuZ/gjmi8NIKr4DmUQduvqnLVZfBgcW1vgc1J8q/QHwk7CNsLfBNaTMQ14nzBToNxnCIgnwl4sBEO47Rpd76zzB4QXRmGf1jntwWOF8d1L6gnTmbT3pwICMLT33Tqnn5OFYF/UCd/xZKpyGeGNAnngiDY3MtIdkkoUuKIfoW6+Dco3SP+3QYHfUjxlpsVznA3xRpr3NijL0Wagnwzk+Y3K/CtlcaO7/msfVVDrJYasNvA9VgRcHvvpT39a2XrrrfMkHdk0fJAe8aYp05ocWMDVpKZmhAVcP3//6tad58eRj3XjmYqNKTjyxgKOdLek0iFkSBfEDm+wcv32VDrWZH08CmNqj3SxxwyBiGcMscSHz2PPEWKRD6uTL9h60Xk4ZbPcuM14E89LpZuq63WTsCBeYyFIFPmuT9K8RMd/CXi7YjtJF/ShVQEXuKLfsX1dFw8J9TYwvkHxtKmeIURp32H1EjnODPSZgeF4iSFNItuNYGecgXe/sXkNXH2OxsfHc20T4unA+jw6dqgYYBqQ6dLrUr3Cgxbbi5J0eNxiC8KP9VYYgg77eXIMhxN1gjcsNqZN8T4FwxuHV46yWNuFpywY3q+FSVwIY4H+bOF24Y9CWaCdsbDD+7aH8G0BkYknbpZAeiy0O6tfWyke4fgagXyNOHq6xPz/1uIKcca4bNmgqDzinCLwYGKbCPB1fnK8Usetn47yv2agfwws07+qu1Mz4o03UrfdliUU+czCI5snvmk6bdq0Ei8t5PkgPTzazMCIMBCmJJl6jI11XrE9L7lADLEOLja8RWFNWUiHEGtk6TpCespYSSinCiCMNWgYaeYKNwpMv4ZwhB/CLhifrUKs8SYY6+hoF9OxxwtMk4b2/kznsTGV/LCAIMzLUaqIhpeh7jT3gbsQn1XQnQpE4DGFms4f0oep5EVJwPt05BxvKPYu4YfCy4W/JmE+mIGeM8A6iaGxOXPmlBYuXFjabrvtFr+JmuclBnvglr4FwgfpiYnfNF065ZIhmitslKTv8UUS7EVqS98HZrAacG/S3CDAQutXS3XjvuT6azqOpUDaDyXxIV29tVmpope6pAz2NUvXg6BBbGB4zhAoM4Qg3pKoJQ78R/6SsKmwuXC5MC6wPgwL7cU7NRYB4Ua/eFkjL0eU14yFutPch+sQn1XmZUlgPQ/a65WGadarkrQcz4oKu0TnqwoIYJsZ6BsDAyXgFixYUJoyZUpNsohDQMTI44nzQ3RJSsMH6dkmpJkP0tsDV/PWdMTwMYCXCbGUFgKIndj+rItfCwidtI0r4E1JIG+CYlskx3D4qE4OT4XVuvyRItYX0mvAWK8WXgQILyXEZfBSQPwCA3Gsp1sxScRLB3ih8F69KgmjLizdL6aVz07imE5mTV4jjpLkmYcnFRpc+xvq/BVC4Co9Vco1Xs30NHRc8Lm64E3TaXFgdP5Sne8qfEEIQvAKndP3YHg0aZO9bxEpPi0mA3VdKjVXZw9QxC9/+cvK5ptvPkAt7l5Tb7rppspmm21W4aWFZm3ZZZetPPHEE81m63n6lVdeufLwww/3vN6sCldbbbWKNkLOihrasGL+zC3Vqrq/e0nqsJAfMcD047rCXIG8B0UlvlnnCJn4rUam4e4WwnQfIop1Z6zjCl68lyVpWEsWjJcREIVZtmYSx1Qn5WGIHsTHxOSaFwseFVg3h9BDiIwLtPl0IRii85PRNcKJlyHCX9CUP1eYJwSvIe1mfdjRQjCEIGIXzx8Og+2FskB9GwuNjKndzySJvqsjHsDA1S90HupmzQzt+99GBSqeeuF+loDHMBiet98JFwpZQjek218n1/03m8/MQF8YyPMbVf2PVtOG4Slz4403VkXLqFvYJqTem6b1OFpuueUqjz/+eL0khYgr0uerLOBq/rT0O6Lu717UuP10XhYQRXicJgrkZXrye0IwBAwL/hcJrD+7SEAUxbayLhBfZeEWgfSTogRMY+JhYg0aaY6N4sLp+jr5jnCXQD0IrLem0tEW2sqaMbxVxwm0C6E1V8D2FJg6vFXAA0d7DqjG/NfwRJ0qlIVfCdT3MSF4zEi5vHCaQF0PCkw/7i3A0Z+EsK5Mp5mG0MVjRvnfF4JXMObq9wqnnVMzS8gOXEPBrOejX7zkQdsQ0Hga4/anc6+jgNuFCekIX5uBHjOQ6zeqbqJCPJHbbISmDCubbLJJm6UMdvY824Q06qEFXCOGlo63gOvxT17+6ur+7uUvxikHhAHetkUg4rHEw5dliD5E9WuzIh1mBnrMQGWZHldYyOpGfQ0cb5rOnTu3+qYp695atVHnsRXezFkrrDmPGeg4A/uqRDymtwl45TZL1cD0MF7T6QJv3q4iEBavjUtl8aUZ6C4DFnDid1TfQm12m5Du3oou3QyYATPQNwbYUoT1eW8U4nVxNIjpWrxznxXYv4+pY7xwOwhHCTYz0BcGLOBE+yh6QcI2IekP0rdzFw4Kj4PSznbGwnnNgBlomgGmzcPbtXFm1srxggOI7YTUtS/NQE8Z4K2gkbdR88C1uk1IoxvF24g0YsjxZsAMDCADB6vNvNiQhr1vAziYw9Rke+D4X6kvCGh5+TCNa92+XHTRRaVjjjmmNHXq1LrpWokcJR5b4cd5zIAZMANmwAx0ggELOLE4ah44vm3aDRsUD1yRBHuR2tKNe8JlmgEzYAbMQHcY8BSqePVDtHM3lz1wnePSJZkBM2AGzIAZqMWABZyYGTUPXK2bod3wQfHAtdtP5zcDZsAMmAEz0G8GLOA0AhZwnbsN7YHrHJcuyQyYATNgBsxALQYs4MSMp1Br3R7NhQ+KB87j3dy4OrUZMANmwAwUjwELOI2JPXCduzHtgWuOS4vJ5vhyajNgBsyAGXiaAQs48eCHaGf+OwyKB64zvXUpZsAMmAEzYAb6x4AFnLi3B64zN+CgCGELzc6Mt0sxA2bADJiB/jFgASfuB0V49O82Gb6aPdU7fGPqHpkBM2AGRokBCziNtj1wnbnlLYQ7w6NLMQNmwAyYATPQiAELODFk4dHoNskfb89Wfq5I6XuvOb6c2gyYATNgBp5mwAJOPNgD15n/DoOytsyiqTPj7VLMgBkwA2agfwxYwIl7P9A7dwPaA9c5Ll2SGTADZsAMmIFaDFjAiRl74GrdHs2FD4oHrrleObUZMANmwAyYgeIxYAGnMbEHrnM3pj1wnePSJZkBM2AGzIAZqMWABZyYsQeu1u3RXPigeOCKJNiL1JbmRtupzYAZMANmoJ8MWMCJfT9EO3MLmsfO8OhSzIAZMANmwAw0YsACTgytssoqpWOPPbYRV443A2bADJgBM2AGzEAhGLCAS4Zh2rRphRiQQW7EoHjgBqWdg3wvuO1mwAyYATPQfwYq9ZqgRetDYRMnTqSfhjnwPdCFe2D77bevXHnlldXfinq/JwWKG5R2FogyN8UMmIEeMlB5Ro7K+CGrmW6AfpBzdNVJzIAZ6DYD8oDW/D3pdt1NlF/3d6+JcpzUDJgBM9ANBiqeQu0GrS7TDJgBM2AGzIAZMANdZMACrovkumgzYAbMgBkwA2bADHSDAQu4brDqMs2AGTADZsAMmAEz0EUGLOC6SK6LNgNT4NReAAALTElEQVRmwAyYATNgBsxANxiwgOsGqy6zkAxMmDChumlzwIEHHljIdrpRZsAMmAEzYAYaMWAB14ghxw88A/Pnz6+Ktn333bfELhYBd9xxRwlRZzMDZsAMmAEzMGgMWMAN2ogVtL1F9m5NnTq1NGPGjNJhhx22BHuXXXZZVcD1yxNXZM4Kepu5WWbADJgBM5AwYAHnW6EtBoru3aJ9CxcuXEq8hU4j7s4888y2OGg2c9E5a7Y/Tm8GzIAZMAPFZKDujuRD8RkGd6JlBtZff/2KvFuZ+SdNmlQ54IADMuN6FTh79uwKbaxlEnfVLy9w7JUVnbNu81DMn7mlWlX3d2+p1A4wA2bADPSWAW/k21u+h6u2ZrxbrDeLXyDgehStGc4CP3PmzCmdcsopo0iX+2wGzIAZMAM1GPAUag1iHNyYgbvvvrskb1LNhFtttVU1DrHGOrN58+ZVXyDg2Kt1Z2uttVZ1CrWW3XPPPdWo9dZbr1aSjoY3wxkVw9Mee+zR0Ta4MDNgBsyAGRh8BizgBn8MB6IHvDCw7bbbVtu65ppr9qzN1InIjD1YeLSCgDz++ONLmubtWXuaqQjhq4/AlzQN3Ew2pzUDZsAMmIERYGCZEeiju9glBlr1biGo6nnFOt3cK664YrGnkDdR8Qxec8011SldrJdtaZYzPIMITpsZMANmwAyYgZgBe+B8P7TMQLPeLYQIoolp1F5NWdI56qLOq666qlo/AjJ+87TeNHDL5NTI2CxnNYpxsBkwA2bADIw4A/bAjfgN0G7383q3EG+zZs2qCql+GdO4WUbbeLkgTPFmpelkWF7OOlmnyzIDZsAMmIHhYuDpOaT6feKJWzMdWw7Uz+7YUWBg8uTJpcsvvzyzq9wibFobT1Vqi5FSLUGVWcgQBjbiLHQZgXnnnXfW3Mtu0KiRF7Tm70mB+lL3d69A7XRTzIAZGE0GKnl+SOv+kFnAjeadk7fXiA/WffXKu5W3XUVON+ycWcAV+e5z28yAGRgQBizgBmSg3EwzMDQMWMANzVC6I2bADPSPAW/k2z/uXbMZMANmwAyYATNgBlpjwG+htsabc5kBM2AGzIAZMANmoG8MWMD1jXpXbAbMgBkwA2bADJiB1hiwgGuNN+cyA2bADJgBM2AGzEDfGLCA6xv1rtgMmAEzYAbMgBkwA60xYAHXGm/OZQbMgBkwA2bADJiBvjFgAdc36l1xswzwtQT2gI0/TN9sGU5vBsyAGTADZmAYGLCAG4ZRbLIPd9xxR1UIpdFkMU5uBsyAGTADZsAM9IkBC7g+Ed+vavFe8fH22bNnV79LGnDAAQdUBR1fAei3BYGZ9rTxNQfae9hhhy1uIu2l3XjnbGbADJgBM2AGRoUBC7hRGWn1E5Ezffr0qnibMmXKEj0/44wzSnyfdI899hghRtxVM2AGzIAZMAPDy0Ddj9XzLVTbYDAggVaR961mY+fNm8dYVyTwFqchD4hNH6WvppsxY8YS4aQjPCAdLy9ftf6QP6SL6yNNXEY4p6J0vZSVTksbKI9w+pOn3Usk8kXXGdDYDILV/d0bhA64jWbADAw1A/6U1lAPb6pzl19+eWnChAk1uxw+OH/NNdfUTFMrYvLkyaWpU6cunpLFy4e3Lz0lKxFWncLlKKVQksirev3CFCieQOIw4kgDsmzBggVVbyImsVZNd9llly32Lp533nlLZLvggguq17vttltWcQ4zA2bADJgBMzAwDHgKdWCGqjMNXW+99TpTUKqUWDgRFaZos8QgAi20I6xnu/baazvaLtb0nXnmmUuUedVVV1WnibvFQUc74MLMgBkwA2bADNRhwAKuDjmOao8BPG1ZlhZQpCuXy1lJWw573/veV80bPIC8GIEHEi+hzQyYATNgBszAoDNgATfoI9jB9iNy2jGmZ+OtScJUaDtltpqX6WCEYfAAhunTrbbaqtUinc8MmAEzYAbMQGEYsIArzFB0vyFMH15xxRU1K7rnnnuqcdtvv33NNLUiEG4IuLBmjWMtD1ytMjodvu+++y6eRvX0aafZdXlmwAyYATPQTwYs4PrJfo/rZvoQr1itPdOOP/74quiKtxhhupOXBWK74YYblrgO5XVqejI9xVqPprXWWqtmdHhZgf3kPH1akyZHmAEzYAbMwAAyYAE3gIPWapMRZnjhtttuu6VEHG+RInLSHjq8cYi+sJYMsZbeK27NNdesNil+YYHy2plCRUjiNWtkoe6slyAQgpTD27BYeu+7RmU73gyYATNgBsxAURmwgCvqyHSpXbwtytYbiLh4vVoQO+lpT0RP2OqD9GGrkLh55GUbD976DGXutNNOVbHYqs2aNasqKMPUbK1yqJv2IdJIe+CBBy6RlGlUjLdSbWbADJgBM2AGhoWBZ+ToCJtw1UzHrp85ynCSAWEgeOLirT4GpOmZzcRziMcQgRn2uctM6MCeMSChXfP3pGeNaFxR3d+9xtmdwgyYATPQVQYqeX5I6/6QWcB1dYD6UngQPcMg4hCkrOFLr+PrC7GutMqABZxvBDNgBsxA2wxYwLVNoQswA2agKQYs4Jqiy4nNgBkwA1kM+FNaWaw4zAyYATNgBsyAGTADRWbALzEUeXTcNjNgBsyAGTADZsAMZDBgAZdBioPMgBkwA2bADJgBM1BkBizgijw6bpsZMANmwAyYATNgBjIYsIDLIMVBZsAMmAEzYAbMgBkYdAa8z9ugj6DbbwbMQLMM+HevWcac3gyYgV4y4LdQe8m26zIDZsAMmAEzYAbMQCcY8BRqJ1h0GWbADJgBM2AGzIAZ6CEDFnA9JNtVmQEzYAbMgBkwA2agEwxYwHWCRZdhBsyAGTADZsAMmIEeMmAB10OyXZUZMANmwAyYATNgBjrBgAVcJ1h0GWbADJgBM2AGzIAZ6CEDFnA9JNtVmQEzYAbMgBkwA2agEwxYwHWCRZdhBsyAGTADZsAMmIEeMmAB10OyXZUZMANmwAyYATNgBjrBgAVcJ1h0GWbADJgBM2AGzIAZ6CEDFnA9JNtVmQEzYAbMgBkwA2agEwxYwHWCRZdhBsyAGTADZsAMmIEeMmAB10OyXZUZMANmwAyYATNgBjrBgAVcJ1h0GWbADJgBM2AGzIAZ6CEDFnA9JNtVmQEzYAbMgBkwA2agEwxYwHWCRZdhBsyAGTADZsAMmIEeMmAB10OyXZUZMANmwAyYATNgBjrBgAVcJ1h0GWbADJgBM2AGzIAZ6CEDFnA9JNtVmQEzYAbMgBkwA2agEwxYwHWCRZdhBsyAGTADZsAMmIEeMmAB10OyXZUZMANmwAyYATNgBjrBgAVcJ1h0GWbADJgBM2AGzIAZ6CEDFnA9JNtVmQEzYAbMgBkwA2agEwxYwHWCRZdhBsyAGTADZsAMmIEeMmAB10OyXZUZMANmwAyYATNgBjrBgAVcJ1h0GWbADJgBM2AGzIAZ6CEDFnA9JNtVmQEzYAbMgBkwA2agEwxYwHWCRZdhBsyAGTADZsAMmIEeMmAB10OyXZUZMANmwAyYATNgBjrBgAVcJ1h0GWbADJgBM2AGzIAZ6CEDFnA9JNtVmQEzYAbMgBkwA2agEwxYwHWCRZdhBsyAGTADZsAMmIEeMmAB10OyXZUZMANmwAyYATNgBjrBgAVcJ1h0GWbADJgBM2AGzIAZ6CEDz8hRVyVHGicxA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATMwlAz8f0YJYPB4YKFNAAAAAElFTkSuQmCC)
Question 17.What do you mean by an ‘inferior good’? Give some examples.
Answer:A good having direct relationship with price but inverse relationship with income is called inferior goods. The demand for inferior good increases with increase in price and decreases with rise in income.
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Question 18.What do you mean by substitutes? Give examples of two goods which are substitutes of each other.
Answer:Substitute goods means the goods that can replace the other like tea and coffee. If the price for tea will increase (no change in price of coffee), the demand for tea will decrease and people will substitute coffee for tea. Therefore we can say that demand for substitute goods move in the same direction with price. If the price of a commodity increases the demand for it substitute will also increase.
![](data:image/png;base64,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)
Question 19.What do you mean by complements? Give examples of two goods which are complements of each other.
Answer:The goods that are consumed together are called complementary goods like pen and refill, car and petrol etc. In case of complementary goods the rise in price of one commodity affects the demand of another.
Like if the price of petrol will increase the demand for cars will decrease Therefore the demand for complementary goods move in opposite direction to the price so they are inversely related.
![](data:image/png;base64,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)
Question 20.Explain price elasticity of demand.
Answer:Price elasticity of demand is the measure of the degree of responsiveness of the demand for a good to the change in its price. The price elasticity of demand can be defined as the change in the demand of a particular commodity due to the change in its price.
According to Lipsey - "Price elasticity of demand is defined as the percentage of change in quantity demanded divided by the percentage change in price."
Where
Ed – Elasticity of demand
Proportionate change in quantity demanded = (q1-q0)/q0
Proportionate change in price = (p1-p0)/p0
Question 21.Consider the demand for a good. At price Rs 4, the demand for the good is 25 units. Suppose price of the good increases to Rs 5, and as a result, the demand for the good falls to 20 units. Calculate the price elasticity.
Answer:![](data:image/png;base64,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)
= - 0.20/0.25
= - 0.8
Therefore, Ed <1
Proportionate change in quantity demanded = (q1-q0)/q0 = -0.20
Proportionate change in price = (p1-p0)/p0 = 0.25
q0 = 25
q1 = 20
p0 = 4
p1 = 5
Question 22.Consider the demand curve D (p) = 10 – 3p. What is the elasticity at price 5/3?
Answer:D(p) = 10 – 3p
This implies Δq/Δp = -3
At p = 5/3
q will be = 10 – (3x5/3) = 5
Ed = Δq/Δp X p/q
![](data:image/png;base64,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)
= -1
Question 23.Suppose the price elasticity of demand for a good is – 0.2. If there is a 5 % increase in the price of the good, by what percentage will the demand for the good go down?
Answer:Price elasticity of demand = -0.2
Increase in price – 5%
![](data:image/png;base64,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)
![](data:image/png;base64,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)
% Change in Quantity demanded = -0.2 X 5 = -1%
Question 24.Suppose the price elasticity of demand for a good is – 0.2. How will the expenditure on the good be affected if there is a 10 % increase in the price of the good?
Answer:Price elasticity of demand = -0.2
Increase in price – 10%
The price elasticity is less than 1 so demand is inelastic. In this case the increase in price will result in increase in expenditure. In case on inelastic demand the price and expenditure are positively related.
Question 25.Suppose there was a 4 % decrease in the price of a good, and as a result, the expenditure on the good increased by 2 %. What can you say about the elasticity of demand?
Answer:Decrease in price is 4% whereas increase in expenditure is 2%
The percentage change in price is more than the percentage change in expenditure, which means the percentage change in demand is more than the percentage change in price.
This means the elasticity is more than 1, thus demand is elastic.
What do you mean by the budget set of a consumer ?.
Answer:
Budget set is a set of all possible combinations of the two goods the consumer can buy from his income at given prices; the cost of these combinations is exactly equal to the income of the consumer or less than it .
Now, let’s say the income of a consumer is Rs 1000 and he has to buy apples and oranges. The price per kg apple is Rs 50 and apple is Rs 20. The possible outcomes could be
These set of combinations will be called budget set.
The right angle triangle AOB as shown in the following figure is called budget set, it is formed between the budget line and the two axis
Question 2.
What is budget line?
Answer:
Budget line represents the different possible combinations of two goods which can be purchased by consumer with the given income and at prevailing prices and the cost of each of these combinations is equal to the income of consumer.
Now, let’s say the income of a consumer is Rs 1000 and he has to buy apples and oranges. The price per kg apple is Rs 50 and apple is Rs 20. The possible outcomes could be –
The combinations A, B, C, D, E will be called budgets lines.
Question 3.
A consumer wants to consume two goods. The prices of the two goods are Rs 4 and Rs 5 respectively. The consumer’s income is Rs 20.
(i) Write down the equation of the budget line.
(ii) How much of good 1 can the consumer consume if she spends her entire income on that good?
(iii) How much of good 2 can she consume if she spends her entire income on that good?
(iv) What is the slope of the budget line?
Answer:
Let the units purchased two goods be
Goods 1 X and
Goods 2 Y
(i) Equation of the budget line – P1X + P2Y = M
Where
P1 – Price of Good 1 = 4
P2 – Price of Good 2 = 5
M – Income of consumer = 20
X – Units of Good 1
Y - Units of Good 2
Therefore, here the budget line will be expressed as
4X + 5Y = 20
(ii) How much of good 1 can the consumer consume if she spends her entire income on that good?
4X + 5(0) = 20
X = 5
(iii) How much of good 2 can she consume if she spends her entire income on that good?
4(0) + 5(Y) = 20
Y = 4
(iv) What is the slope of the budget line?
The slope of budget line is
- 4/5 = X/Y
X/Y = - 0.8
Question 4.
How does the budget line change if the consumer’s income increases to Rs 40 but the prices remain unchanged?
Answer:
The budget line will be expressed as
4X + 5Y = 40
As income has increased so the consumer can purchase more of both the commodities and the budget line will shift parallelly outwards to A’B’ from AB
The slope of new budget line will be
- 4/5 = X/Y
X/Y = - 0.8
Question 5.
How does the budget line change if the price of good 2 decreases by a rupee but the price of good 1 and the consumer’s income remain unchanged?
Answer:
The budget line will be expressed as
4X + 4Y = 20
The slope of new budget line will be
- 4/4 = X/Y
X/Y = - 1
The new budget line will also pivot outwards around the same horizontal intercept –
Question 6.
What happens to the budget set if both the prices as well as the income double?
Answer:
The budget line will be expressed as
8X + 10Y = 40
The new budget line will be same as old one with same slope.
Question 7.
Suppose a consumer can afford to buy 6 units of good 1 and 8 units of good 2 if she spends her entire income. The prices of the two goods are Rs 6 and Rs 8 respectively. How much is the consumer’s income?
Answer:
Budget line – P1X + P2Y = M
Where,
P1 – Price of Good 1 = 6
P2 – Price of Good 1 = 8
M – Income of consumer = ?
X – Units of Good 1 = 6
Y - Units of Good 2 = 8
M = (6 × 6) + (8 × 8) = 36 + 64 = 100
Therefore, the income of consumer is Rs 100
Question 8.
Suppose a consumer wants to consume two goods which are available only in integer units. The two goods are equally priced at Rs 10 and the consumer’s income is Rs 40.
(i) Write down all the bundles that are available to the consumer.
(ii) Among the bundles that are available to the consumer, identify those which cost her exactly Rs 40.
Answer:
(i) Here, M = 40
P1 = 10
P2 = 10
The bundles available to the consumer are –
(0,0) (0,1) (0,2) (0,3) (0,4)
(1,0) (1,1) (1,2) (1,3) (2,0)
(2,1) (2,2) (3,0) (3,1) (4,0)
(ii) The bundles available in this case are
Question 9.
What do you mean by ‘monotonic preferences’?
Answer:
Monotonic preference means that rational consumer always prefers to have more of a commodity because it will give him a higher level of satisfaction.
More is preferred to less. When preferences are monotone, the consumer prefers more of both the goods. When preferences are strictly monotone the consumer preferes more of one good but not less of the other.
Therefore, a consumer will prefer a particular bundle if it will have at least more of one good but not less of the other good
If we say that bundle A has 3 units of community X and 5 units of commodity Y, where bundle B has 3 units of community X but only 2 units of commodity Y, then the consumer will prefer bundle A, because he is getting the same quantity of commodity B in both bundles but more of commodity Y in bundle A.
Question 10.
If a consumer has monotonic preferences, can she be indifferent between the bundles (10, 8) and (8, 6)?
Answer:
A consumer having monotonic preference cannot be indifferent between two given bundle because bundle 1 contains more of goods as compared to bundle 2.
So she should prefer bundle 1.
Question 11.
Suppose a consumer’s preferences are monotonic. What can you say about her preference ranking over the bundles (10, 10), (10, 9) and (9, 9)?
Answer:
As per monotonic preference, the bundles should be ranked as below –
Question 12.
Suppose your friend is indifferent to the bundles (5, 6) and (6, 6). Are the preferences of your friend monotonic?
Answer:
In the given case it shows that the preference of my friend is not monotonic. As he is indifferent towards both the bundles means both the bundles give him same level of satisfaction and so he has assigned them the same rank.
According to the monotonic preference second bundle would have been preferred as it contains more of both the goods.
Question 13.
Suppose there are two consumers in the market for a good and their demand functions are as follows:
d1(p) = 20 – p for any price less than or equal to 20, and d1(p) = 0 at any price greater than 20.
d2(p) = 30 – 2p for any price less than or equal to 15 and d1(p) = 0 at any price greater than 15.
Find out the market demand function.
Answer:
d1(p) = 20 – p for any price less than or equal to 20, and d1(p) = 0 at any price greater than 20.
For Price ≤ 20
Market Demand = 2 (20 – p)
= 40 – 2p
For Price > 20
Market Demand = 2 (0)
= 0
Therefore, market demand function is
40 – 2p if Price ≤ 20
0 if Price > 20
d2(p) = 30 – 2p for any price less than or equal to 15 and d1(p) = 0 at any price greater than 15.
For Price ≤ 15
Market Demand = 2 (30 – 2p)
= 60 – 4p
For Price > 15
Market Demand = 2 (0)
= 0
Therefore, market demand function is
60 – 4p if Price ≤ 15
0 if Price > 15
Question 14.
Suppose there are 20 consumers for a good and they have identical demand functions:
d(p) = 10 – 3p for any price less than or equal to 10/3 and d1(p) = 0 at any price greater than 10/3.
What is the market demand function?
Answer:
d(p) = 10 – 3p if Price ≤ 10/3
d1(p) = 0 if Price > 10/3
Market Demand is total demand of all consumers
For Price ≤ 10/3
Market Demand = 20 (10 – 3p)
= 200 – 60p
For Price > 10/3
Market Demand = 20 (0)
= 0
Therefore, market demand function is
200 – 60p if Price ≤ 10/3
0 if Price > 10/3
Question 15.
Consider a market where there are just two consumers and suppose their demands for the good are given as follows:
Calculate the market demand for the good.
Answer:
Market Demand is total demand i.e d1 + d2
Question 16.
What do you mean by a normal good?
Answer:
A good having inverse relationship with price but direct relationship with income is called Normal goods. The demand for normal good increases with increase in income and decreases with rise in price.
Question 17.
What do you mean by an ‘inferior good’? Give some examples.
Answer:
A good having direct relationship with price but inverse relationship with income is called inferior goods. The demand for inferior good increases with increase in price and decreases with rise in income.
Question 18.
What do you mean by substitutes? Give examples of two goods which are substitutes of each other.
Answer:
Substitute goods means the goods that can replace the other like tea and coffee. If the price for tea will increase (no change in price of coffee), the demand for tea will decrease and people will substitute coffee for tea. Therefore we can say that demand for substitute goods move in the same direction with price. If the price of a commodity increases the demand for it substitute will also increase.
Question 19.
What do you mean by complements? Give examples of two goods which are complements of each other.
Answer:
The goods that are consumed together are called complementary goods like pen and refill, car and petrol etc. In case of complementary goods the rise in price of one commodity affects the demand of another.
Like if the price of petrol will increase the demand for cars will decrease Therefore the demand for complementary goods move in opposite direction to the price so they are inversely related.
Question 20.
Explain price elasticity of demand.
Answer:
Price elasticity of demand is the measure of the degree of responsiveness of the demand for a good to the change in its price. The price elasticity of demand can be defined as the change in the demand of a particular commodity due to the change in its price.
According to Lipsey - "Price elasticity of demand is defined as the percentage of change in quantity demanded divided by the percentage change in price."
Where
Ed – Elasticity of demand
Proportionate change in quantity demanded = (q1-q0)/q0
Proportionate change in price = (p1-p0)/p0
Question 21.
Consider the demand for a good. At price Rs 4, the demand for the good is 25 units. Suppose price of the good increases to Rs 5, and as a result, the demand for the good falls to 20 units. Calculate the price elasticity.
Answer:
= - 0.20/0.25
= - 0.8
Therefore, Ed <1
Proportionate change in quantity demanded = (q1-q0)/q0 = -0.20
Proportionate change in price = (p1-p0)/p0 = 0.25
q0 = 25
q1 = 20
p0 = 4
p1 = 5
Question 22.
Consider the demand curve D (p) = 10 – 3p. What is the elasticity at price 5/3?
Answer:
D(p) = 10 – 3p
This implies Δq/Δp = -3
At p = 5/3
q will be = 10 – (3x5/3) = 5
Ed = Δq/Δp X p/q
= -1
Question 23.
Suppose the price elasticity of demand for a good is – 0.2. If there is a 5 % increase in the price of the good, by what percentage will the demand for the good go down?
Answer:
Price elasticity of demand = -0.2
Increase in price – 5%
% Change in Quantity demanded = -0.2 X 5 = -1%
Question 24.
Suppose the price elasticity of demand for a good is – 0.2. How will the expenditure on the good be affected if there is a 10 % increase in the price of the good?
Answer:
Price elasticity of demand = -0.2
Increase in price – 10%
The price elasticity is less than 1 so demand is inelastic. In this case the increase in price will result in increase in expenditure. In case on inelastic demand the price and expenditure are positively related.
Question 25.
Suppose there was a 4 % decrease in the price of a good, and as a result, the expenditure on the good increased by 2 %. What can you say about the elasticity of demand?
Answer:
Decrease in price is 4% whereas increase in expenditure is 2%
The percentage change in price is more than the percentage change in expenditure, which means the percentage change in demand is more than the percentage change in price.
This means the elasticity is more than 1, thus demand is elastic.