Suppose that a firm has production function ƒ(K, L) = K2a + Lª where a > 1. Assume that pk = PL where pk is the price of capital per unit and pL is the price of labour per unit. If the firm is producing at an optimal point then which of the following can we conclude? O The firm will use equal quantities of capital and labour. The firm will use twice as much capital as labour. The marginal rate of technical substitution will equal the price ratio. The firm will only use capital in production. More than one of the above.

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
Suppose that a firm has production function f(K, L) = K2a + Lª where a > 1. Assume that PK = PL
where pk is the price of capital per unit and på is the price of labour per unit. If the firm is
producing at an optimal point then which of the following can we conclude?
The firm will use equal quantities of capital and labour.
The firm will use twice as much capital as labour.
O The marginal rate of technical substitution will equal the price ratio.
O The firm will only use capital in production.
O More than one of the above.
Transcribed Image Text:Suppose that a firm has production function f(K, L) = K2a + Lª where a > 1. Assume that PK = PL where pk is the price of capital per unit and på is the price of labour per unit. If the firm is producing at an optimal point then which of the following can we conclude? The firm will use equal quantities of capital and labour. The firm will use twice as much capital as labour. O The marginal rate of technical substitution will equal the price ratio. O The firm will only use capital in production. O More than one of the above.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Input Substitution
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.
Similar questions
  • SEE MORE QUESTIONS
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
Microeconomics: Principles & Policy
Microeconomics: Principles & Policy
Economics
ISBN:
9781337794992
Author:
William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:
Cengage Learning
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
Economics: Private and Public Choice (MindTap Cou…
Economics: Private and Public Choice (MindTap Cou…
Economics
ISBN:
9781305506725
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Microeconomics: Private and Public Choice (MindTa…
Microeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506893
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning