Q = F(K, L) = K3/4 L 14

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a. Calculate the average product of labor, AP, when the level of capital is fixed at 81
units and the firm uses 16 units of labor. How does the average product of labor
change when the firm uses 256 units of labor?
b. Find an expression for the marginal product of labor, MP, when the amount of capi-
tal is fixed at 81 units. Then, illustrate that the marginal product of labor depends on
the amount of labor hired by calculating the marginal product of labor for 16 and 81
units of labor.
c. Suppose capital is fixed at 81 units. If the firm can sell its output at a price of $200
per unit of output and can hire labor at $50 per unit of labor, how many units of labor
chauld the firm hire in order to maximize profits?

Q = F(K, L) = K3/4 L 14

b,maaf kalau salah ya kak