Question

the cost for a company to produce x smartphones can be modeled by C(x)= 2x+35 and the company's total profit after selling x smartphones can be modeled by P(x)= -x^2+120x-435. which function below represents the company's revenue for selling smartphones? ( recall that profit equals revenue minus cost) A) R(x)= -x^2+122x-400 B) R(x)= -x^2+118x-470 C) R(x)= -x^2+122x-470 D) R(x)= -x^2+122x+400

Answer 1

the correct answer is -x^2+122x-400 hope that help. 

Answer 2

A

Explanation:

We know Profit = Revenue - Cost

Cost (C(x)) is given as C(x) = 2x+35, and

Profit (P(x)) is given as P(x)=
`-x^2+120x-435`

Substituting Profit function and cost function into the first equation and solving for Revenue:

`Profit=Revenue-Cost\\Revenue=Profit+Cost\\R(x)=-x^2+120x-435+2x+35\\R(x)=-x^2+122x-400`

Answer choice A is right.