A firm produces output according to a production function: Q= RK,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? Capital decreases and labor increases. O It does not change. O Capital increases and labor decreases. O Capital and labor increase.

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
Problem 1AQ
icon
Related questions
Question

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? (Choose one that is the best answer)

  • Capital decreases and labor increases.
  • It does not change.
  • Capital increases and labor decreases.
  • Capital and labor increase.
A firm produces output according to a production function:
Q= RK,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?
Capital decreases and labor increases.
O It does not change.
O Capital increases and labor decreases.
O Capital and labor increase.
Transcribed Image Text:A firm produces output according to a production function: Q= RK,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? Capital decreases and labor increases. O It does not change. O Capital increases and labor decreases. O Capital and labor increase.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Cost-minimizing Input Choice
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning
Microeconomics: Principles & Policy
Microeconomics: Principles & Policy
Economics
ISBN:
9781337794992
Author:
William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:
Cengage Learning
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning