Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x - 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 - 3x - 520. The variable x represents the number of skateboards sold.

What expression represents the profit?

27x - 650

27x + 390

33x - 650

33x + 390

Question

Miguel Castro

Mathematics

21 October, 02:32

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x - 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 - 3x - 520. The variable x represents the number of skateboards sold.

What expression represents the profit?

27x - 650

27x + 390

33x - 650

33x + 390

+2

Answers (1)

Know the Answer?

Osvaldo Brady · Answer 1

The answer is 33x + 390. Profit is the difference between revenue and cost: P (x) = R (x) - C (x). The revenue is: R (x) = 2x^3 + 30x - 130. The cost is: C (x) = 2x^3 - 3x - 520. Thus, the profit is: P (x) = 2x^3 + 30x - 130 - (2x^3 - 3x - 520) = 2x^3 + 30x - 130 - 2x^3 + 3x + 520 = (2x^3 - 2x^3) + (30x + 3x) + (520 - 130) = 0 + 33x + 390 = 33x + 390.