Suppose that a firms production function is given by

Question

Suppose that a firm's production function is given by Q=K^0.33L^0.67, Where MPK=0.33K^-0.67L^0.67 and MPL= 0.67K^0.33L^-0.33

A. As L increases, what happens to the marginal product of labor?

B. As K increases, what happens to the marginal product of labor?

C. Why would the MPL change as K changes?

D. What happens to the marginal product of capital (MPK) AS K increases? As L increases?