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 MRTSLK changes as the firm uses more labor, holding output constant
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