Suppose a company has fixed costs of $48,000 and variable cost per unit of

1

3

x + 444 dollars,

where x is the total number of units produced. Suppose further that the selling price of its product is

2074

2

3

x 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.) $