Suppose the production of airframes is characterized by a CobbDouglas production function: Q =LK. The marginal products for this production function are MPL = K and MPK = L. Suppose the price of labor is $10 per unit and the price of capital is $1 per unit. Find the cost-minimizing combination of labor and capital if the manufacturer wants to produce 121,000 airframes.

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

Q2. Suppose the production of airframes is characterized by a CobbDouglas production function: Q =LK.

The marginal products for this production function are MPL = K and MPK = L.

Suppose the price of labor is $10 per unit and the price of capital is $1 per unit.

Find the cost-minimizing combination of labor and capital if the manufacturer wants to produce 121,000 airframes.

Expert Solution
trending now

Trending now

This is a popular 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.
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,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
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
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage