Suppose that a firm's production function is given by Q = KL(MPK= L and MPL​= K), where Q is the quantity of output, K is units of capital, and L is units of labor. The price per unit of labor and capital are $30 and $20, respectively. a. How many units of labor and capital should the firm use if it wants to minimize the cost of producing 600 units of output?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.3P
icon
Related questions
Question

Suppose that a firm's production function is given by Q = KL(MPK= L and MPL​= K), where Q is the quantity of output, K is units of capital, and L is units of labor. The price per unit of labor and capital are $30 and $20, respectively.

a. How many units of labor and capital should the firm use if it wants to minimize the cost of producing 600 units of output?

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.
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc