A widget manufacturer has an infinitely substitutable production function of the form q= 2K+L a. Graph the isoquant maps for q=20, q=40, and q=60. What is the RTS along these isoquants? b. If the wage rate (w) is $1 and the rental rate on capital (v) is $1, what cost-minimizing combination of K and L will the manufacturer employ for the three different production levels in part a? What is the manufacturer’s expansion path? c. How would your answer to part b change if (v) rose to $3 with (w) remaining at $1?

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
Chapter7: Production Economics
Section: Chapter Questions
Problem 5E
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A widget manufacturer has an infinitely substitutable production function of the form

q= 2K+L

a. Graph the isoquant maps for q=20, q=40, and q=60. What is the RTS along these isoquants?

b. If the wage rate (w) is $1 and the rental rate on capital (v) is $1, what cost-minimizing combination of K and L will the manufacturer employ for the three different production levels in part a? What is the manufacturer’s expansion path?

c. How would your answer to part b change if (v) rose to $3 with (w) remaining at $1?

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