Zeynep lives on an island where she produces two goods, apples (x) and bananas (y), according to the production possibility frontier 200 = x² + y², and she consumes all the goods herself. Her utility function is U(x,y) = xy³. Find her utility maximizing x and y as well as the value of ? (Lagrange multiplier).

Zeynep lives on an island where she produces two goods, apples (x) and bananas (y), according to the production possibility frontier 200 = x² + y², and she consumes all the goods herself. Her utility function is U(x,y) = xy³. Find her utility maximizing x and y as well as the value of ? (Lagrange multiplier).

Microeconomics

13th Edition

ISBN:9781337617406

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter7: Consumer Choice: Maximizing Utility And Behavioral Economics

Section: Chapter Questions

Problem 5QP

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