Suppose exactly 34 goods are produced they all sell when

Question

Question: The total cost C(q) of producing q goods is given by:

C(q) = 0.01q³ - 0.6q² + 13q

(a) What is the fixed cost?

(b) What is the maximum profit if each item is sold for $7? (Assume you sell everything you produce.)

(c) Suppose exactly 34 goods are produced. They all sell when the price is $7 each, but for each $1 increase in price, 2 fewer goods are sold. Should the price be raised, and if so by how much?