Question 1 An economy is represented by the Cobb-Douglas production function, Y = AK°L1-0 A. Derive the economy's output growth accounting equation. B. If the share of capital is 0.35, capital grows by 2%, labour grows by 2%, and the growth rate of total factor productivity is 1%, by how much does total output grow? C. Derive the economy's per capita output growth accounting equation. D. Drawing on the information provided in part B and your calculations in part B, what is the rate of growth of per capita output?

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter20: Economic Growth In The Global Economy
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Question 1
An economy is represented by the Cobb-Douglas production function,
Y = AK L'-0
A. Derive the economy's output growth accounting equation.
B. If the share of capital is 0.35, capital grows by 2%, labour grows by 2%, and
the growth rate of total factor productivity is 1%, by how much does total
output grow?
C. Derive the economy's per capita output growth accounting equation.
D. Drawing on the information provided in part B and your calculations in part B,
what is the rate of growth of per capita output?
Transcribed Image Text:Question 1 An economy is represented by the Cobb-Douglas production function, Y = AK L'-0 A. Derive the economy's output growth accounting equation. B. If the share of capital is 0.35, capital grows by 2%, labour grows by 2%, and the growth rate of total factor productivity is 1%, by how much does total output grow? C. Derive the economy's per capita output growth accounting equation. D. Drawing on the information provided in part B and your calculations in part B, what is the rate of growth of per capita output?
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