Suppose that a firm’s production function is q =10L0.5K0.5 (i.e. q = 10√L√K). The cost of a unit of labour is €20 and the cost of a unit of capital is €80. The firm wants to produce 80 units of output. The marginal rate of technical substitution is K/L The optimal level of capital required to produce 80 units of output is A. 16 B. 8 C. 4 D. 2
Suppose that a firm’s production function is q =10L0.5K0.5 (i.e. q = 10√L√K). The cost of a unit of labour is €20 and the cost of a unit of capital is €80. The firm wants to produce 80 units of output. The marginal rate of technical substitution is K/L The optimal level of capital required to produce 80 units of output is A. 16 B. 8 C. 4 D. 2
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.4P
Related questions
Question
-
Suppose that a firm’s production function is q =10L0.5K0.5 (i.e. q = 10√L√K). The cost of a unit of labour is €20 and the cost of a unit of capital is €80. The firm wants to produce 80 units of output. The
marginal rate of technical substitution is K/LThe optimal level of capital required to produce 80 units of output is
A. 16
B. 8
C. 4
D. 2
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
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
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Microeconomics: Principles & Policy
Economics
ISBN:
9781337794992
Author:
William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:
Cengage Learning