Repeat Exercise 33 for C(q) = 2q³ − 59q² + 4q + 7,600 and p = 124 − 2q.

Data from Exercises 33

A manufacturer of machinery parts determines that q units of a particular piece will be sold when the price is p = 110 − q dollars per unit. The total cost of producing those q units is C(q) dollars, where

a. How much profit is derived from the sale of the q units at p dollars per unit?

b. For what value of q is profit maximized?

c. Find the consumers’ surplus for the level of production q₀ that corresponds to maximum profit.