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: Write the profit formula

Profit (P=\text{Revenue}-\text{Cost}). Given Revenue (R = 2x^{3}+30x - 130) and Cost (C=2x^{3}-3x - 520). So (P=(2x^{3}+30x - 130)-(2x^{3}-3x - 520)).

Step2: Remove the parentheses

(P = 2x^{3}+30x - 130-2x^{3}+3x + 520).

Step3: Combine like - terms

For the (x^{3}) terms: (2x^{3}-2x^{3}=0). For the (x) terms: (30x + 3x=33x). For the constant terms: (-130 + 520=390).

Answer:

(33x + 390)