Question 8: Profit maximization A firm's short-run production function is given with Q(K,L) = L02K². Capital is fixed with K = 3. The price of capital is r = 0.1 and the price of labour is w = 4. The price of the final output is p = 8. a) Do you think it is possible to depict this production function with an isoquant? Justify your answer by explaining the concept of an isoquant. b) Calculate the optimum quantity of labour the firm should use if it wants to maximize its profit. Also calculate the output produced and the corresponding profit.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.3P
icon
Related questions
Question
Question 8: Profit maximization
A firm's short-run production function is given with Q(K, L) = L0.2 K² . Capital is
fixed with K = 3. The price of capital is r = 0.1 and the price of labour is w = 4.
The price of the final output is p = 8.
a) Do you think it is possible to depict this production function with an isoquant?
Justify your answer by explaining the concept of an isoquant.
b) Calculate the optimum quantity of labour the firm should use if it wants to
maximize its profit. Also calculate the output produced and the corresponding
profit.
Transcribed Image Text:Question 8: Profit maximization A firm's short-run production function is given with Q(K, L) = L0.2 K² . Capital is fixed with K = 3. The price of capital is r = 0.1 and the price of labour is w = 4. The price of the final output is p = 8. a) Do you think it is possible to depict this production function with an isoquant? Justify your answer by explaining the concept of an isoquant. b) Calculate the optimum quantity of labour the firm should use if it wants to maximize its profit. Also calculate the output produced and the corresponding profit.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
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,
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage
ECON MICRO
ECON MICRO
Economics
ISBN:
9781337000536
Author:
William A. McEachern
Publisher:
Cengage Learning
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning