Question 4. Consider the production function y = L/2+√K where L is labor and K is capital. a) Is this production function monotonic? Is it convex? Find the formula for isoquants, and graph the isoquants for 7 = 1 and 4 into a diagram. b) Find the marginal product for labor, and the marginal product for capital. Find the TRS. Explain. c) Is this a constant returns to scale technology? Explain.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter11: The Firm: Production And Costs
Section: Chapter Questions
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Question 4.
Consider the production function y = L/2+vK where L is labor
and K is capital.
a) Is this production function monotonic? Is it convex? Find
the formula for isoquants, and graph the isoquants for j = 1
and j = 4 into a diagram.
b) Find the marginal product for labor, and the marginal
product for capital. Find the TRS. Explain.
c) Is this a constant returns to scale technology? Explain.
Transcribed Image Text:Question 4. Consider the production function y = L/2+vK where L is labor and K is capital. a) Is this production function monotonic? Is it convex? Find the formula for isoquants, and graph the isoquants for j = 1 and j = 4 into a diagram. b) Find the marginal product for labor, and the marginal product for capital. Find the TRS. Explain. c) Is this a constant returns to scale technology? Explain.
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