An economy has 20 million workers in research and development, where their productivity is 0.004, and the level of technology is 6.75. The depreciation rate is 0.15, and the saving rate is 0.2. The per worker production function is y = Ak1/3(1-a), and there are 180 million production workers. Show that, in equilibrium, the ratio of capital to output is constant.

Economics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506725
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter27: Investment, The Capital Market, And The Wealth Of Nations
Section: Chapter Questions
Problem 3CQ
icon
Related questions
Question
An economy has 20 million workers in research and development, where their productivity is
0.004, and the level of technology is 6.75. The depreciation rate is 0.15, and the saving rate is
0.2. The per worker production function is y = Akl/3(1-a), and there are 180 million
production workers. Show that, in equilibrium, the ratio of capital to output is constant.
Transcribed Image Text:An economy has 20 million workers in research and development, where their productivity is 0.004, and the level of technology is 6.75. The depreciation rate is 0.15, and the saving rate is 0.2. The per worker production function is y = Akl/3(1-a), and there are 180 million production workers. Show that, in equilibrium, the ratio of capital to output is constant.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Cobb-Douglas Production Function
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
Economics: Private and Public Choice (MindTap Cou…
Economics: Private and Public Choice (MindTap Cou…
Economics
ISBN:
9781305506725
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Microeconomics: Private and Public Choice (MindTa…
Microeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506893
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning