Suppose the Production Function for a Coffee Shop Is

question 30

Essay

Suppose the production function for a coffee shop is:
Q = 2K + 5L
where Q is the number of cups of coffee produced, K is the number of coffee makers, and L is the number of workers. 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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