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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?

Respuesta :

Answer:

[tex]33x+390[/tex]

Step-by-step explanation:

Given that revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial

[tex]2x^3 + 30x - 130[/tex].

The cost, in dollars, of producing the skateboards can be modeled by

[tex]2x^3 - 3x - 520.[/tex]

Profit function = Revenue - cost

= [tex]2x^3 + 30x - 130-(2x^3 -3x - 520)\\=33x+390[/tex]

So profit function in terms of x

= [tex]33x+390[/tex]

abidemiokin

The expression that represents the profit is 33x + 390

Calculating profit

Profit is the difference between revenue and cost. Given the following parameters

R(x) = 2x^3 + 30x – 130

C(x) = 2x^3 – 3x – 520

Take the difference

P(x) = R(x) - C(x)

Substitute

P(x) = 2x^3 + 30x – 130 - ( 2x^3 – 3x – 520)

P(x) = 33x + 390

Hence the expression that represents the profit is 33x + 390

Learn more on revenue here: https://brainly.com/question/25623677

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