Problem 5: Consider an economy with production. The production functions for goods X and Y are given by: X Y = L ပိဋက where Lx+Ly = L. The utility function of the representative consumer is given by: xyl U (x, y) = min where all the parameters are positive. Determine the Walrasian equilibrium quantities of X and Y produced and sold in this economy.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
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Problem 5: Consider an economy with production. The production functions
for goods X and Y are given by:
X
Y
||
La
Ly
= 3
where Lx+Ly =Ī. The utility function of the representative consumer is given
by:
y
U(x, y) = min { // }
where all the parameters are positive. Determine the Walrasian equilibrium
quantities of X and Y produced and sold in this economy.
Transcribed Image Text:Problem 5: Consider an economy with production. The production functions for goods X and Y are given by: X Y || La Ly = 3 where Lx+Ly =Ī. The utility function of the representative consumer is given by: y U(x, y) = min { // } where all the parameters are positive. Determine the Walrasian equilibrium quantities of X and Y produced and sold in this economy.
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