Suppose a company has fixed costs of $44,200 and variable cost per unit of 1/3x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1948 − 2/3x dollars per unit.

(a) Find the break-even points. (Enter your answers as a comma-separated list.)

x =

(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.

P(x) =

Find maximum profit.

$

(d) What price will maximize the profit? (Round your answer to the nearest cent.)

$