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

Respuesta :

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

Answer:

A


Step-by-step 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)=[tex]-x^2+120x-435[/tex]

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

[tex]Profit=Revenue-Cost\\Revenue=Profit+Cost\\R(x)=-x^2+120x-435+2x+35\\R(x)=-x^2+122x-400[/tex]

Answer choice A is right.