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 $2x^{3}+30x - 130$. the cost, in dollars, of producing the skateboards can be modeled by $2x^{3}-3x - 520$. 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 $2x^{3}+30x - 130$. the cost, in dollars, of producing the skateboards can be modeled by $2x^{3}-3x - 520$. 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 the 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