he production function is f(L,K)= L2/3K 1/3 , where L is the amount of labor and K is the amount of capital. (a. Find the marginal products of labor and capital. Is the marginal product of labor diminishing, increasing or constant in labor? (b. Sketch several isoquants in the K-L space. (c. Find the Technical Rate of Substitution between capital and labor. (d. What are the returns to scale of this production function? Please explain it with details

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter11: The Firm: Production And Costs
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The production function is f(L,K)= L2/3K 1/3 , where L is the amount of labor and K is the amount of capital.

(a. Find the marginal products of labor and capital. Is the marginal product of labor diminishing, increasing or constant in labor?

(b. Sketch several isoquants in the K-L space.

(c. Find the Technical Rate of Substitution between capital and labor.

(d. What are the returns to scale of this production function?

Please explain it with details 

The production function is f(L,K)= L2/3K¹/3, where L is the amount of labor and K is the amount of
capital.
a. Find the marginal products of labor and capital. Is the marginal product of labor
diminishing, increasing or constant in labor?
b. Sketch several isoquants in the K-L space.
c. Find the Technical Rate of Substitution between capital and labor.
d. What are the returns to scale of this production function?
Transcribed Image Text:The production function is f(L,K)= L2/3K¹/3, where L is the amount of labor and K is the amount of capital. a. Find the marginal products of labor and capital. Is the marginal product of labor diminishing, increasing or constant in labor? b. Sketch several isoquants in the K-L space. c. Find the Technical Rate of Substitution between capital and labor. d. What are the returns to scale of this production function?
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