Suppose that the selling price of a company's primary product is 16000.3x dollars per unit when x units are sold every week.

(a) Calculate a formula for the total revenue as a function of x. R(x) = __________ dollars per week

(b) Suppose further that the product has fixed costs of 400 dollars and each unit costs 0.75x+1430 dollars per unit to produce, where x is the number of units produced every week. Calculate a formula for the total cost as a function of x.

C(x) = __________ dollars per week

(c) Find the break-even points. Round each value to at least three decimal places.

The larger quantity at which break-even occurs is __________ units per week, with corresponding revenue of __________ dollars per week.

The smaller quantity at which break-even occurs is __________ units per week, with corresponding revenue of __________ dollars per week.

(d) Calculate a formula for the profit function. Recall that profit is the difference between revenue and cost.

Profit: __________ dollars per week

(e) What price will maximize profit? Price: __________ dollars per unit