Assume that we have a Cobb-Douglas type aggregate production function in the form: Y = WK" L1-r where : W=technology and r is standard share parameter of Cobb-Douglas production function. а. Find Marginal Rate of Technical Substitution (MRTS) between K and L. b. Why does (or does not) technology affects MRTS? Explain. с. Find output per effective labor; capital per effective labor (y=Y/WL and k= K/WL ). Find elasticity of substitution between K and L. Why does (or does not) the d. result different from the previous question (Question-1)? 2.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.14P
icon
Related questions
Question

Assume that we have a Cobb-Douglas type aggregate production function in the form: Y=W.Kr.L1-r

where :  W=technology and r is standard share parameter of Cobb-Douglas production function.

b.

Why   does (or does not) technology affects MRTS? Explain.

c.

Find output per effective labor; capital per effective labor (y=Y/WL and k= K/WL ).

d.

Find elasticity of substitution between K and L. Why does (or does not) the result different from previous question (Question-1) (Y=Ka.Lb) ? 

(Question 1: Assume that we have a Cobb-Douglas type aggregate production function in the form: Y=Ka.L)

2.
Assume that we have a Cobb-Douglas type aggregate production function in the form:
Y = WK" L1-r
where : W=technology and r is standard share parameter of Cobb-Douglas production function.
а.
Find Marginal Rate of Technical Substitution (MRTS) between K and L.
b.
Why does (or does not) technology affects MRTS? Explain.
Find output per effective labor; capital per effective labor (y=Y/WL and
с.
k= K/WL ).
Find elasticity of substitution between K and L. Why does (or does not) the
d.
result different from the previous question (Question-1)?
Transcribed Image Text:2. Assume that we have a Cobb-Douglas type aggregate production function in the form: Y = WK" L1-r where : W=technology and r is standard share parameter of Cobb-Douglas production function. а. Find Marginal Rate of Technical Substitution (MRTS) between K and L. b. Why does (or does not) technology affects MRTS? Explain. Find output per effective labor; capital per effective labor (y=Y/WL and с. k= K/WL ). Find elasticity of substitution between K and L. Why does (or does not) the d. result different from the previous question (Question-1)?
1.
Assume that we have a Cobb-Douglas type aggregate production function in the form:
Y = KªL®
Transcribed Image Text:1. Assume that we have a Cobb-Douglas type aggregate production function in the form: Y = KªL®
Expert Solution
steps

Step by step

Solved in 2 steps with 5 images

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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Macroeconomics
Macroeconomics
Economics
ISBN:
9781337617390
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Principles of Microeconomics (MindTap Course List)
Principles of Microeconomics (MindTap Course List)
Economics
ISBN:
9781305971493
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning