Problem
Suppose a company has fixed costs of $41,600 and variable cost per unit of 1/3x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1665 -2/3x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
(b) Find the maximum revenue. (Round your answer to the nearest cent.)
(c) Form the profit function P(x) from the cost and revenue functions.
Find maximum profit.
(d) What price will maximize the profit? (Round your answer to the nearest cent.)