Question

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

Answer 1

Profit = revenue − cost = (2x^3 + 30x − 130) − (2x^3 − 3x − 520)
= (2x^3 − 2x^3) + (30x + 3x) + (−130 + 520)
= 33x + 390

Answer: 33x + 390