Dr. Shishkin ECON 2106 Assignment #8 Fall 2010 ANSWERS Allocative Efficiency and Consumer Surplus 1. Explain the difference between production efficiency and allocative efficiency. Answer: Production efficiency means that we are operating at a point on the production possibilities frontier and so we cannot produce more of a good or service without producing less of some other good or service. Production efficiency occurs at all points on the PPF. At any point inside the frontier, production is inefficient because we have unemployed resources. Allocative efficiency takes one’s preferences into account. When one achieved allocative efficiency that person can not do any better than this because if he would try to produce more of one good and less of another good, he will lose more that he would gain in terms of his benefit. This is why that person should stay where MB=MC (see The Most Important Diagram). 2. Explain why does the marginal benefit curve have a negative slope. Answer: Each successive increase in the consumption of any good provides a lower level of satisfaction, or benefit, than the preceding unit of consumption. For a specific example, think of drinking water on a hot day. What is the first glass worth? How about the second and third? The marginal benefit is the benefit from each additional glass of water and, as the example indicates, the marginal benefit decreases as the amount of the good increases. Email me at [email protected], and text at (678) 524-5535 if I don’t respond 1 Dr. Shishkin ECON 2106 Fall 2010 3. Based on the marginal analysis approach, when less than the efficient amount of a good is produced, how does the marginal benefit of the last unit produced compare to its marginal cost? Answer: When less than the efficient amount of a good is produced, the marginal benefit of the last unit produced exceeds its marginal cost. The fact that the marginal benefit exceeds the marginal cost indicates that producing additional units of the good will move the amount of production closer to the efficient quantity. 4. At the current production point on a nation’s production possibilities frontier, the marginal benefit of a slice of pizza is 500 tacos while the marginal cost of producing a slice of pizza is 750 tacos. For the nation to produce at the point of allocative efficiency, what should be done? Answer: The marginal benefit of a slice of pizza is less than its marginal cost. Therefore to produce at the point of allocative efficiency, less pizza and hence more tacos should be produced. 5. Jason needs help getting ready for the next test in his economics course and would like to hire Maria, an economics tutor to help him. Jason is willing to pay $30 for the first hour of tutoring, $25 for the second, $20 for the third, $15 for the fourth, and $10 for the fifth. Maria charges $12 per hour for tutoring. For how many hours of tutoring will Jason hire Maria? Why this amount of hours? What is Jason’s consumer surplus from the tutoring? Answer: Jason will hire Maria for 4 hours of tutoring. At $12 per hour, the marginal benefit to Jason of the first, second, third, and fourth hour exceeds the price. But the marginal benefit from the fifth hour is less than the price and so Jason will not hire Maria Email me at [email protected], and text at (678) 524-5535 if I don’t respond 2 Dr. Shishkin ECON 2106 Fall 2010 for the fifth hour. Jason’s total consumer surplus is $42, the sum of $18 from the first hour plus $13 from the second plus $8 from the third plus $3 from the fourth. 6. The figure above shows Cindy’s demand for CDs per year. a. What is Cindy's consumer surplus on all the CDs consumed if the price of a CD is $12? Answer: Her consumer surplus when the price of a CD is $12 equals $15, the area of the triangle under the demand curve and above the price. b. What is Cindy's consumer surplus on all the CDs consumed if the price of a CD is $9? Answer: Her consumer surplus when the price of a CD is $9 equals $60, the area of the triangle under the demand curve and above the price c. What happens to Cindy's consumer surplus when the price of a CD falls? Does it increase or decrease? By how much? Answer: As the price of a CD falls, Cindy's consumer surplus increases by $45. This result reflects the observation that consumers are better off when prices are lower. Email me at [email protected], and text at (678) 524-5535 if I don’t respond 3
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