Consider the following production function: Q = 100K^.4L^.6 .
A. Derive the expression for the marginal product of capital and for the marginal product of labor.
B. Compute the marginal products of capital and labor when K=25 and L=50.
C. Does the production exhibit diminishing returns in each factor, holding the other factor constant? Use calculus to answer this question.
D. Does the production function exhibit increasing, decreasing, or constant returns to scale? Show how you know.