In: Math
6. The cost equation for a certain company is given by
C(q) = 0.5q3 − 162q2 + 13500q,
where q is the quantity of items produced and the cost, C, is given in dollars.
(a) (1 pt) Find the equation for the average cost and the equation for C′(q).
a(q) =
C′(q) =
(b) (1 pt) Find the minimum average cost and the quantity at which it occurs. Show work.