Exercise 5 For each of the production functions below: (1) find the marginal product of labor (i.e., MP₁ = q (L.K)) and check whether it is diminishing, constant or increasing in labor OMPL); (2) find the marginal product of capital (i.e., ƏL ƏL (i.e., visually or computing and interpreting MPK = 9(K)) and check whether it is diminishing, constant or increasing in capital (i.e., visually ак or computing and interpreting labor for capital (i.e., MRTSL,K in labor (i.e., visually or computing and interpreting MRTSLK) ƏL OMPK); and (3) find the marginal rate of technical substitution of ак = MPL) and check whether it is diminishing, constant or increasing MPK

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
Show full answers and steps to the exercise
Exercise 5
ƏL
For each of the production functions below: (1) find the marginal product
of labor (i.e., MP₁ = a(LK)) and check whether it is diminishing, constant or increasing in labor
(i.e., visually or computing and interpreting ML); (2) find the marginal product of capital (i.e.,
MPK = 9(K)) and check whether it is diminishing, constant or increasing in capital (i.e., visually
or computing and interpreting MPK); and (3) find the marginal rate of technical substitution of
labor for capital (i.e., MRTSL,K ) and check whether it is diminishing, constant or increasing
MPL
MPK
in labor (i.e., visually or computing and interpreting
a) q(L,K) = 5L0.75 K 0.25
b) q(L,K) = 2L + 4K
c) q(L,K) = 3L + 4K¹/2
d) q(L,K) = 30L +10KL + 20K
ƏMRTSLK
ƏL
Transcribed Image Text:Exercise 5 ƏL For each of the production functions below: (1) find the marginal product of labor (i.e., MP₁ = a(LK)) and check whether it is diminishing, constant or increasing in labor (i.e., visually or computing and interpreting ML); (2) find the marginal product of capital (i.e., MPK = 9(K)) and check whether it is diminishing, constant or increasing in capital (i.e., visually or computing and interpreting MPK); and (3) find the marginal rate of technical substitution of labor for capital (i.e., MRTSL,K ) and check whether it is diminishing, constant or increasing MPL MPK in labor (i.e., visually or computing and interpreting a) q(L,K) = 5L0.75 K 0.25 b) q(L,K) = 2L + 4K c) q(L,K) = 3L + 4K¹/2 d) q(L,K) = 30L +10KL + 20K ƏMRTSLK ƏL
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 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
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