A firm has the exogenous cost function C(Q) = 354Q- 30Q^2 + Q^3.
(a) Compute the marginal cost function.
(b) Use calculus to find the value of Q at which marginal cost is minimized.
(c) Compute the average cost function.
(d) Use calculus to find the value of Q at which average cost is minimized.
(e) Does this cost function satisfy the three assumptions made in class concerning the cost function?