A firm produces output according to a production function: Q = F(K,L) = min {6K,2L}. a. How much output is produced when K = 2 and L = 3? unit(s) b. If the wage rate is $30 per hour and the rental rate on capital is $10 per hour, what is the cost-minimizing input mix for producing 6 units of output? Capital:  Labor:  c. How does your answer to part b change if the wage rate decreases to $10 per hour but the rental rate on capital remains at $10 per hour? multiple choice Capital and labor increase. Capital decreases and labor increases. Capital increases and labor decreases. It does not change.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.7P
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A firm produces output according to a production function:

Q = F(K,L) = min {6K,2L}.

a. How much output is produced when K = 2 and L = 3?

unit(s)


b. If the wage rate is $30 per hour and the rental rate on capital is $10 per hour, what is the cost-minimizing input mix for producing 6 units of output?

Capital: 
Labor: 


c. How does your answer to part b change if the wage rate decreases to $10 per hour but the rental rate on capital remains at $10 per hour?

multiple choice

  • Capital and labor increase.
  • Capital decreases and labor increases.
  • Capital increases and labor decreases.
  • It does not change.
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