profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes…

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

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

Explanation:

Step1: Recall profit formula

Profit = Revenue - Cost

Step2: Substitute given polynomials

Revenue = $2x^{3}+30x - 130$, Cost = $2x^{3}-3x - 520$. So, Profit=$(2x^{3}+30x - 130)-(2x^{3}-3x - 520)$

Step3: Remove parentheses

Profit = $2x^{3}+30x - 130 - 2x^{3}+3x + 520$

Step4: Combine like - terms

$(2x^{3}-2x^{3})+(30x + 3x)+(-130 + 520)=33x+390$

Answer:

$33x + 390$