Suppose the total cost in dollars of manufacturing q units is given by the function C(q) = 3q^2+4q+48.
a) Express the average manufacturing cost per unit as a function of q.
b) For what value of q is the average cost the smallest?
c) For what value of q is the average cost equal to the marginal cost?
d) Graph the total cost, marginal cost, and average cost on the same set of axes.