James works for a delivery company in College Station where he consumes bundles of two commodities x and y. Prices in College Station are px=1 and py=5. He is offered a transfer to Dallas where prices are px=2 and py=5; James is guaranteed a salary in Dallas with which he would be able to buy exactly what he buys in College Station. James’s utility function is U(x,y)=x1/3y2/3 and his income in College Station is $2500. What happens to James’ utility if he accepts the transfer (James’ utility maximization is always characterized by the tangency rule)?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section: Chapter Questions
Problem 11SQ
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James works for a delivery company in College Station where he consumes bundles of two commodities x and y. Prices in College Station are px=1 and py=5. He is offered a transfer to Dallas where prices are px=2 and py=5; James is guaranteed a salary in Dallas with which he would be able to buy exactly what he buys in College Station. James’s utility function is U(x,y)=x1/3y2/3 and his income in College Station is $2500. What happens to James’ utility if he accepts the transfer (James’ utility maximization is always characterized by the tangency rule)?

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