Angelina lives on an island where she produces two goods, apples (x) and bananas (V), 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 %3D well as the value of 2 (Lagrange multiplier).

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Angelina lives on an island where she produces two goods, apples (x) and bananas
(V), according to the production possibility frontier 200 = x² +y², and she consumes all the
%3D
goods herself. Her utility function is U (x, y) = xy³. Find her utility maximizing x and y as
well as the value of 2 (Lagrange multiplier).
Transcribed Image Text:Angelina lives on an island where she produces two goods, apples (x) and bananas (V), according to the production possibility frontier 200 = x² +y², and she consumes all the %3D goods herself. Her utility function is U (x, y) = xy³. Find her utility maximizing x and y as well as the value of 2 (Lagrange multiplier).
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