(a) What is the utility from each choice if r1 = 20 and 1'2 = 15. Is this an equilibrium? How do you know? (b) For the rest of the problem you can now assume that rents are increasing in the population of each city. Specifically, assume r1(L1) = 4 * L1 and T2 (L2) = 8 * L2. Compute the equilibrium population of each city equilibrium rents.

Macroeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506756
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter2: Some Tools Of The Economist
Section: Chapter Questions
Problem 14CQ
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Utility. Suppose we have two cities, 1 and 2. Assume every individual has the same utility function given by: u(w;,r;) = 4 * WJ - 0.75 * r; where j = 1 or j = 2. Furthermore, for all parts of the problem assume the total population is fixed at 1, 000 and wages in each city are given by:

W1 = 15
W2 = 12

(a) What is the utility from each choice if r1 = 20 and 1'2 = 15. Is this an equilibrium? How do you know?

(b) For the rest of the problem you can now assume that rents are increasing in the population of each city. Specifically, assume r1(L1) = 4 * L1 and T2 (L2) = 8 * L2. Compute the equilibrium population of each city equilibrium rents.

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