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.

Average Cost = C(q)/q

=(3q^2 + 4q +48)/q

=3q + 4 + (48/q)

Marginal Average Cost = AC'(x)

=3 + 48/q^2

0=3+(48/q^2)

-3 = 48/q^2

-3q^2 = 48

q^2 = -16

q = (+/-)4

Average cost = Marginal Cost

3q^2+4q+48 = (+/-)4

I know I haven't finished solving - I'm not sure if I have set this problem correctly.