2. Compensating Variation and Equivalent Variation (CV-EV): A consumer has u=: (a) Derive the consumer's demands for good 1 and 2 as a function of income, M, and prices pi and p2 using the MRS and the budget line. (b) Now let M = 10 and initially the prices are both 1, but then pi rises to 2. Solve numeri- cally for the CV and EV associated with this change. Also show these effects on clear complete graphs. (c) Suppose you wanted to estimate the consumer surplus (CS) associated with this change. without computing anything further, what would be your estimate of the CS change? Which of CV, EV and CS are the best measure of welfare change? Why?

2. Compensating Variation and Equivalent Variation (CV-EV): A consumer has u=: (a) Derive the consumer's demands for good 1 and 2 as a function of income, M, and prices pi and p2 using the MRS and the budget line. (b) Now let M = 10 and initially the prices are both 1, but then pi rises to 2. Solve numeri- cally for the CV and EV associated with this change. Also show these effects on clear complete graphs. (c) Suppose you wanted to estimate the consumer surplus (CS) associated with this change. without computing anything further, what would be your estimate of the CS change? Which of CV, EV and CS are the best measure of welfare change? Why?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.13P

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Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate the change in consumer surplus from consuming the expensivemeals considering the price change (Hint: you need to compare his optimalconsumption bundle before and after the price change to get the change in CS).
Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).
Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate for the equivalent variation (EV) for the price change.
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