Consider an economy in which the aggregate production function is given by the equation: Y = 3.6 K0.5 N0.5 where (Y) is aggregate production, (A) measures productivity, (K) is the stock of physical capital and (N) is the amount of labor, measured in millions of workers. Both Y and K are measured in billions of reais. K is given and is 10,000 (i.e., 10,000 billion reais), so K0.5 = 100. The aggregate labor supply is given by the following equation: NS = [(1-t).w]2 where (t) is the income tax rate on labor and (w) is the real wage, measured in reais per hour. t = 0.20 (20%). The equilibrium levels of the real wage (w) and employment (N) are, respectively, [ANSWER] and [ANSWER]. The full employment production level (Y) is [ANSWER]. Finally, the after-tax real wage that workers receive per hour in this economy i

Macroeconomics
13th Edition
ISBN:9781337617390
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter17: Economic Growth: Resources, Technology, Ideas And Institutions
Section: Chapter Questions
Problem 6WNG
icon
Related questions
Question

Consider an economy in which the aggregate production function is given by the equation:

Y = 3.6 K0.5 N0.5

where (Y) is aggregate production, (A) measures productivity, (K) is the stock of physical capital and (N) is the amount of labor, measured in millions of workers. Both Y and K are measured in billions of reais. K is given and is 10,000 (i.e., 10,000 billion reais), so K0.5 = 100.

The aggregate labor supply is given by the following equation:

NS = [(1-t).w]2

where (t) is the income tax rate on labor and (w) is the real wage, measured in reais per hour. t = 0.20 (20%).

The equilibrium levels of the real wage (w) and employment (N) are, respectively, [ANSWER] and [ANSWER].

The full employment production level (Y) is [ANSWER]. Finally, the after-tax real wage that workers receive per hour in this economy i

Expert Solution
steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Knowledge Booster
Gross Domestic Product
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
Macroeconomics
Macroeconomics
Economics
ISBN:
9781337617390
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Principles of Economics 2e
Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax