3. A country has the following production function: Y = K0.2L0.6p0.2 where Y is total output, K is capital stock, L is population size and P is land size. The depreciation rate (8) is 0.05. The population growth rate (n) is 0. We define: y = ½, k = 1 and p = . Land size is fixed. L a) Find out the steady state values of k and y in terms of p, the per capita land size.
3. A country has the following production function: Y = K0.2L0.6p0.2 where Y is total output, K is capital stock, L is population size and P is land size. The depreciation rate (8) is 0.05. The population growth rate (n) is 0. We define: y = ½, k = 1 and p = . Land size is fixed. L a) Find out the steady state values of k and y in terms of p, the per capita land size.
Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter17: Production And Growth
Section17.1: Economic Growth Around The World
Problem 1QQ
Related questions
Question

Transcribed Image Text:3. A country has the following production function: Y = K0.2L0.6p0.2 where Y is total
output, K is capital stock, L is population size and P is land size. The depreciation rate (8)
is 0.05. The population growth rate (n) is 0. We define: y = ½, k = 1 and p = . Land size
is fixed.
L
a) Find out the steady state values of k and y in terms of p, the per capita land size.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps

Recommended textbooks for you

Essentials of Economics (MindTap Course List)
Economics
ISBN:
9781337091992
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning

Brief Principles of Macroeconomics (MindTap Cours…
Economics
ISBN:
9781337091985
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning


Essentials of Economics (MindTap Course List)
Economics
ISBN:
9781337091992
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning

Brief Principles of Macroeconomics (MindTap Cours…
Economics
ISBN:
9781337091985
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning


Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax

Macroeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506756
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning

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