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

Answer:

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

Step-by-step 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

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