» Pauline spends her income in two goods: good x and good y. Her utilityfunction is given by u(x, y) = min{, y}. Initially, the prices are P = 2 and Pthe price of y drops to P = 1, while the price of r remains the same as before; that is, P = 2.%3D2, but then%3DPauline's income is Mº = 12.(a) Compute the compensating variation associated to the drop in the price of y.(b) Compute the equivalent variation associated to the drop in the price of y.

The utility of a combination of two goods will be maximized at the point where the budget constraint…

» Pauline spends her income in two goods: good r and good y. Her utility function is given by u(x, y) = min{5, y}. Initially, the prices are P = 2 and P = 2, but ther the price of y drops to P = 1, while the price of r remains the same as before; that is, P = 2 Pauline's income is M° = 12. (a) Compute the compensating variation associated to the drop in the price of y. (b) Compute the equivalent variation associated to the drop in the price of y. -

» Pauline spends her income in two goods: good r and good y. Her utility function is given by u(x, y) = min{5, y}. Initially, the prices are P = 2 and P = 2, but ther the price of y drops to P = 1, while the price of r remains the same as before; that is, P = 2 Pauline's income is M° = 12. (a) Compute the compensating variation associated to the drop in the price of y. (b) Compute the equivalent variation associated to the drop in the price of y. -

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.2P

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E1 Suppose the Federal Government issues $100 worth of food stamps to everyone in your city. These stamps are coupons that can be exchanged for $100 worth of food at the grocery store and they can be used only by the person to whom they are issued. Draw your budgetline between “food’ and “all other goods” both before and after the food stamps are issued. Assume the price of food = price of “all other goods” = $1.00 and the individual’s initial income is $200.
Eren’s two main hobbies are taking vacations overseas (V) and eating expensive meals (M). His utility function is given as: U(V,M) = V^2MLast year, the average price of taking a vacation overseas was US$200 and the average price of an expensive meal is $50. However, due to supply problems in Onions, the average price of an expensive meal rose to $75. The average price of a vacation did not change. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should be given to Eren to offset his change un utility due to the price increase of an expensive meal. Calculate the compensative variation (CV).
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Tom's income is 32. He consumes a single consumption good, C, which has a price of 2. His utility function depends on his marital status: when happily married, his utility is given byU=C^(1/2) When he is not married, his utility is given by U=0.5C^(1/2) a. Suppose that Tom is not currently married. What is his utility? Now suppose that Tom gets married.What is his utility? Assume Tom can spend all his income on his own consumption when he is married. b. Use compensating variation (CV) and equivalent variation (EV) to calculate the value of marriage to Tom. How do the two figures compare?
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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. 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).
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Columns 1 through 4 of the accompanying table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are $18, $6, $4, and $24, respectively, and that Ricardo has an income of $105. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? How many dollars will Ricardo choose to save? Check your answers by substituting them into the algebraic statement of the utility‑maximizing rule. In other words, show it works when using this rule.
Columns 1 through 4 in the following table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are, respectively, $18, $6, $4, and $24 and that Ricardo has an income of $106. a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many dollars will Ricardo choose to save? c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule.
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.