3. Imagine we live in a classical world. Suppose that the production function is Y = L²K², where L is the amount of labor and K is the amount of capital. The economy has 100 units of labor and 100 units of capital. a. Does the production function show Constant Returns to Scale? Why? b. Derive an expression for the marginal product of labor. Is the marginal product of

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

Please answer the following question as soon as possible.

Thanks a lot!

Imagine we live in a classical world. Suppose that the production function is ? = ?^(1/2)?^(1/2), where L is the amount of labor and K is the amount of capital. The economy has 100 units of labor and 100 units of capital.

1 1
3. Imagine we live in a classical world. Suppose that the production function is Y = L²K²,
where L is the amount of labor and K is the amount of capital. The economy has 100
units of labor and 100 units of capital.
a. Does the production function show Constant Returns to Scale? Why?
b. Derive an expression for the marginal product of labor. Is the marginal product of
labor diminishing? How does an increase in the amount of capital affect the marginal
product of labor? Explain.
c.
What are the real wage and rental price of capital?
d. What is the income share paid to labor? What is the income share paid to capital?
Transcribed Image Text:1 1 3. Imagine we live in a classical world. Suppose that the production function is Y = L²K², where L is the amount of labor and K is the amount of capital. The economy has 100 units of labor and 100 units of capital. a. Does the production function show Constant Returns to Scale? Why? b. Derive an expression for the marginal product of labor. Is the marginal product of labor diminishing? How does an increase in the amount of capital affect the marginal product of labor? Explain. c. What are the real wage and rental price of capital? d. What is the income share paid to labor? What is the income share paid to capital?
Expert Solution
steps

Step by step

Solved in 5 steps with 7 images

Blurred answer
Knowledge Booster
Cobb-Douglas Production Function
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
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education