1. Assume some production relationship can be describeed by the production function
Q = 6X^{2} -0.4X^{3}
a. Find out the marginal product of X function
b. Find out the average product of X function
c. Determine the value of X that maximizes Q.
2. Assume a firm's short run variable costs are given by
10Q + Q^{2}
a. Compute the marginal cost function
b. If fixed costs are 100, find out the average cost function.
c. Determine quantity that minimizes average costs.