A profit maximizing firm produces output using capital, K, and labour, L, in the following production technology: Y = 2*K^0.5*L^0.5 The cost function of the firm is: C = w*L + r*K where r=1.3. You are told that the firm employs L = 49 workers. Find the optimal capital stock, K*. (State your answer to 2 decimal places.)

Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter7: Production And Cost In The Firm
Section7.A: Appendix: A Closer Look At Production And Cost
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A profit maximizing firm produces output using capital, K, and labour, L, in the following production technology:

Y = 2*K^0.5*L^0.5

The cost function of the firm is:
C = w*L + r*K

where r=1.3. 

You are told that the firm employs L = 49 workers.

Find the optimal capital stock, K*.

(State your answer to 2 decimal places.)

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