Help me solve this, im lost

Question

Suppose a company has fixed costs of $35,200 and variable cost per unit of 1/3x+444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1576-2/3x 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 the Maximum profit in $

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

$

Answer 1

total cost = 35200 + (1/3) x + 444

= 35644 + (1/3) x

sale price = 1576 - (2/3)x

Profit = 1576 - (2/3)x - (1/3)x - 35644

= -x - 34068

x = 34068