2. Consider the production functions given below: a. Suppose that the production function faced by a bread producer is given by Q = 4KL, where MPK = 4L and MP, = 4K. i. Do both labor and capital display diminishing marginal products in the short run? Explain. ii. Find the marginal rate of technical substitution for this production function. (Hint: The MRTS MPL MPK iii. Does this production function display a diminishing marginal rate of technical substitution? iv. Graph isoquants for Q = 20, and Q = 40. Put capital (K) on the y-axis and labor (L) on the x- axis. Label the isoquants with their quantities. v. What are the returns to scale for this firm? Explain. 20 19 18 17 16 15 14 13 12 11 10 9 0 1 2 3 4 5 6 00 9 10 11 12 13 14 15

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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2. Consider the production functions given below:
a.
Suppose that the production function faced by a bread producer is given by Q = 4KL, where MPK = 4L and
MP, = 4K.
i. Do both labor and capital display diminishing marginal products in the short run? Explain.
ii.
Find the marginal rate of technical
substitution for this production function. (Hint:
The MRTS
MPL
MPK
iii. Does this production function display a
diminishing marginal rate of technical
substitution?
iv. Graph isoquants for Q = 20, and Q = 40. Put
capital (K) on the y-axis and labor (L) on the x-
axis. Label the isoquants with their quantities.
v. What are the returns to scale for this firm?
Explain.
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Transcribed Image Text:2. Consider the production functions given below: a. Suppose that the production function faced by a bread producer is given by Q = 4KL, where MPK = 4L and MP, = 4K. i. Do both labor and capital display diminishing marginal products in the short run? Explain. ii. Find the marginal rate of technical substitution for this production function. (Hint: The MRTS MPL MPK iii. Does this production function display a diminishing marginal rate of technical substitution? iv. Graph isoquants for Q = 20, and Q = 40. Put capital (K) on the y-axis and labor (L) on the x- axis. Label the isoquants with their quantities. v. What are the returns to scale for this firm? Explain. 20 19 18 17 16 15 14 13 12 11 10 9 0 1 2 3 4 5 6 00 9 10 11 12 13 14 15
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