In a certain economy the production function is Y= A(100N- 0.50N²), where Y is output, A is productivity, and N is total hours worked. The marginal product of labor associated with this production function is MPN= A(100 – 1.0N). a. The supply of labor is NS = 45 + 0.10w, where w is the real wage. Initially the value of A is equal to 1.0. Find the equilibrium levels of output, hours worked and the real wage. (Note that the MPN curve is the same as the labor demand curve, with the real wage replacing the MPN). The equilibrium value of the real wage is 50. (Enter your response rounded to two decimal places.) The equilibrium value of employment (hours worked) is (Enter your response rounded to two decimal places.)

Principles of Economics (MindTap Course List)
8th Edition
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter18: The Markets For The Factor Of Production
Section: Chapter Questions
Problem 9PA
icon
Related questions
Question

12

In a certain economy the production function is
Y= A(100N- 0.50N²),
where Y is output, A is productivity, and N is total hours worked.
The marginal product of labor associated with this production function is
MPN= A(100 – 1.0N).
a. The supply of labor is
NS = 45 + 0.10w, where w is the real wage.
Initially the value of A is equal to 1.0.
Find the equilibrium levels of output, hours worked and the real wage.
(Note that the MPN curve is the same as the labor demand curve, with the real wage replacing the MPN).
The equilibrium value of the real wage is 50 . (Enter your response rounded to two decimal places.)
The equilibrium value of employment (hours worked) is
(Enter your response rounded to two decimal places.)
Transcribed Image Text:In a certain economy the production function is Y= A(100N- 0.50N²), where Y is output, A is productivity, and N is total hours worked. The marginal product of labor associated with this production function is MPN= A(100 – 1.0N). a. The supply of labor is NS = 45 + 0.10w, where w is the real wage. Initially the value of A is equal to 1.0. Find the equilibrium levels of output, hours worked and the real wage. (Note that the MPN curve is the same as the labor demand curve, with the real wage replacing the MPN). The equilibrium value of the real wage is 50 . (Enter your response rounded to two decimal places.) The equilibrium value of employment (hours worked) is (Enter your response rounded to two decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Current Account
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
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
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
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning