Question-5 (Marginal Products and Returns to Scale) function is Cobb-Douglas and f(x1; x2) = x/2x3/2 Suppose the production 1. Write an expression for the marginal product of 21. 2. Does marginal product of ₁ increase for small increases in x1, holding 2 fixed? Explain 3. Does an increase in the amount of 22 lead to decrease the marginal product of x1? Explain 4. What is the the technical rate of substitution between 2 and 21? 5. What is the type of returns to scale of this production function? (Increasing, decreasing, constant) 2
Question-5 (Marginal Products and Returns to Scale) function is Cobb-Douglas and f(x1; x2) = x/2x3/2 Suppose the production 1. Write an expression for the marginal product of 21. 2. Does marginal product of ₁ increase for small increases in x1, holding 2 fixed? Explain 3. Does an increase in the amount of 22 lead to decrease the marginal product of x1? Explain 4. What is the the technical rate of substitution between 2 and 21? 5. What is the type of returns to scale of this production function? (Increasing, decreasing, constant) 2
Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter12: The Cost Of Production
Section: Chapter Questions
Problem 4QR
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Transcribed Image Text:Question-5 (Marginal Products and Returns to Scale)
function is Cobb-Douglas and
f(x1; x2) = x/2x3/2
Suppose the production
1. Write an expression for the marginal product of 21.
2. Does marginal product of ₁ increase for small increases in x1, holding 2 fixed? Explain
3. Does an increase in the amount of 22 lead to decrease the marginal product of x1? Explain
4. What is the the technical rate of substitution between 2 and 21?
5. What is the type of returns to scale of this production function? (Increasing, decreasing,
constant)
2
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