Coosider the production function characterizing garri plant as:   Q= 20L + 60k - L^2 - K^2   If total outlay for both capital, K =N50, and a Labour, L= N20, is N4,600. Find:   a. The optimal quantity of K* and L* to be employed.   b. Calculate the maximum possible output of garri that the plant can produce.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.7P
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Coosider the production function characterizing garri plant as:

 

Q= 20L + 60k - L^2 - K^2

 

If total outlay for both capital, K =N50, and a Labour, L= N20, is N4,600. Find:

 

a. The optimal quantity of K* and L* to be employed.

 

b. Calculate the maximum possible output of garri that the plant can produce.

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