There are 2 firms (i = 1,2) in an economy, which use capital only to produce final output. The production function for Firm i takes the following form: Y; = A¿K}/2 (1) Assume that Aı = 1 and A2 = 2, and there are 5 units of capital in this economy. What is the optimal allocation of capital between these two firms?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.1P
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There are 2 firms (i= 1,2) in an economy, which use capital only to produce final output.
The production function for Firm i takes the following form:
-1/2
Y; = A;K;1²
(1)
Assume that A1 = 1 and A2 = 2, and there are 5 units of capital in this economy. What is
the optimal allocation of capital between these two firms?
Transcribed Image Text:There are 2 firms (i= 1,2) in an economy, which use capital only to produce final output. The production function for Firm i takes the following form: -1/2 Y; = A;K;1² (1) Assume that A1 = 1 and A2 = 2, and there are 5 units of capital in this economy. What is the optimal allocation of capital between these two firms?
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