Question

the revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 2x – 80. the cost, in dollars, of producing the video game systems can be modeled by 5x2 – x 100, where x is the number of video game systems sold. if profit is the difference between the revenue and the cost, what expression represents the profit?

Answer 1

5x=2=7-110 that is your answer.

Answer 2

The expression that represents the profit is
`p(x) =3x-180`

Explanation:

The Profit function P(x) is the difference between the Revenue function R(x) and the Cost function C(x)

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

Finding the profit function.

For this exercise the revenue is given by

`R(x) = 5x^2+2x-80`

And the cost function is modeled by

`C(x) = 5x^2-x+100`

Thus the profit function is

`P(x) = 5x^2+2x-80- (5x^2-x+100)`

Distributing the negative sign.

`P(x) = 5x^2+2x-80- 5x^2+x-100`

Combining like terms to finally get the simplified profit function

`\boxed{P(x) = 3x-180}`