Determine the cost minimizing combination of labor and capital if the firm decides to adopt production method 1.  (b) Determine the cost minimizing combination of labor and capital if the firm decides to adopt production method 2.  (c) Based on your solution in part (a) and (b), which production method would you recommend to the firm? Support your recommendation with calculations.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter9: Applications Of Cost Theory
Section: Chapter Questions
Problem 1.2CE
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Q). Shown below are two alternative Cobb-Douglas production functions where Q is output per day, L is labor hours per day, and K is machine hours per day.

              Q = 2LK                             Production Method 1

              Q = 10(L1/2K1/2)                 Production Method 2

A firm must adopt one of the two production methods in order to produce 200 units of output per day while paying employees $12 per hour and renting machinery for $48 per hour.

(a) Determine the cost minimizing combination of labor and capital if the firm decides to adopt production method 1. 

(b) Determine the cost minimizing combination of labor and capital if the firm decides to adopt production method 2. 

(c) Based on your solution in part (a) and (b), which production method would you recommend to the firm? Support your recommendation with calculations. 

 

 

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