The manufacturer evaluates that when q units of the particular commodity are made each month, total cost will be C(q) = 0.4q2 + 3q + 40 dollars, and all q units can be sold at the price of p(q)= 33/q + 9 -0.1q dollars per unit.
a) Find level of production which results in maximum profit. Find maximum profit,?
b) At what level of production is average cost per unit A(q) = C(q)/q minimized c At what level of production is average cost equal to marginal cost C(q)?