A firm has two opportunities for a new plant location, one is in China and the other is in Mexico. The firm's production function is given by q = L 0.5 K 0.5 , In China, the cost of labor is w=$15 and the cost of capital is r=$5. In Mexico, w=$10 and r=$10. The firm wants to produce 100 units of output. Which location should the firm choose for their new plant? Explain why. Note: Please round the optimal amounts of capital and labor at each location to the nearest whole number when making your calculations. Hint: cost-minimization rule.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.1P
icon
Related questions
Question

A firm has two opportunities for a new plant location, one is in China and the other is in
Mexico. The firm's production function is given by q = L 0.50.5 , In China, the cost of labor
is w=$15 and the cost of capital is r=$5. In Mexico, w=$10 and r=$10. The firm wants to
produce 100 units of output. Which location should the firm choose for their new plant?
Explain why.
Note: Please round the optimal amounts of capital and labor at each location to the nearest whole number when making your calculations.
Hint: cost-minimization rule.

Expert Solution
steps

Step by step

Solved in 5 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
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Essentials of Economics (MindTap Course List)
Essentials of Economics (MindTap Course List)
Economics
ISBN:
9781337091992
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
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