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

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.4P
icon
Related questions
Question
  1. 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

Expert Solution
steps

Step by step

Solved in 2 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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Microeconomics
Microeconomics
Economics
ISBN:
9781337617406
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage
Microeconomics: Principles & Policy
Microeconomics: Principles & Policy
Economics
ISBN:
9781337794992
Author:
William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:
Cengage Learning
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning