An economy has 8 units of labor and 8 units of capital that are allocated between industry X, with the DRTS production function x = K^(1/4)L^(1/4), and industry Y, with the CRTS production function y = K^(1/2)L^(1/2). Derive and graph the Production Possibilities Frontier for this economy. All consumers believe X and Y are perfect complements with tastes U = min (Y, 2X). Calculate production levels that are consistent with tastes and show these in your diagram.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.6P
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An economy has 8 units of labor and 8 units of capital that are allocated between industry X, with the DRTS
production function x = K^(1/4)L^(1/4), and industry Y, with the CRTS production function y = K^(1/2)L^(1/2). Derive and graph the Production Possibilities Frontier for this economy. All consumers believe X and Y are perfect complements with tastes U = min (Y, 2X). Calculate production levels that are consistent with tastes and show these in your diagram.  

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