Leonidas has a utility function u(x, y) = x + 3y, an income of 12 and works in Sparta, where the prices of x and y are both 2. (a) What is Leonidas’ current utility? (b) Leonidas’ boss is thinking of sending him to Athens where the price of x is 1 and the price of y is 4. Leonidas says this is as bad as a cut in pay of γ. What is γ equal to? (b) He also says that he wouldn’t mind moving if his pay was increased by δ when he moved. What is δ equal to?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.3P
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Leonidas has a utility function u(x, y) = x + 3y, an income of 12 and works in Sparta, where the prices of x and y are both 2.
(a) What is Leonidas’ current utility?
(b) Leonidas’ boss is thinking of sending him to Athens where the price of x is 1 and the price of y is 4. Leonidas says this is as bad as a cut in pay of γ. What is γ equal to?
(b) He also says that he wouldn’t mind moving if his pay was increased by δ when he moved. What is δ equal to?

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