Suppose the production function for a car manufacturer is:
Q = 2K²L²
where Q is the number of cars produced, K is the number of machine hours used, and L is the number of worker hours used. Use calculus for the following:
a. to determine a function for the marginal product of labor
b. to determine a function for the marginal product of capital
c. to find the marginal rate of technical substitution
d. to discuss how MRTS_LK changes as the firm uses more labor, holding output constant

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The Answer of Suppose the production function for a car manufacturer is: Q = 2K²L² where Q is the number of cars produced, K is the number of machine hours used, and L is the number of worker hours used. Use calculus for the following: a. to determine a function for the marginal product of labor b. to determine a function for the marginal product of capital c. to find the marginal rate of technical substitution d. to discuss how MRTS_LK changes as the firm uses more labor, holding output constant

Suppose the Production Function for a Car Manufacturer Is