Web Analytics
cha8meshaynaAp
Answered

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?

Verified Answer :

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

marcelvm

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

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

Related Questions