Question

(HELP PLEASE) 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 represents the company's revenue for selling smartphones? ( Recall that profit equals revenue minus cost.)

Answer 1

Profit equals revenue minus cost, so given two equations to model the cost and profit of a company after selling x smartphones, the revenue formula can be determined. If cost = 2x + 35 and profit = -x^2 + 120x - 435, then revenue can be easily found. A function for revenue is revenue, or R(x) = -x^2 + 122x -400.

Answer 2

This is the concept of algebra, the revenue of the smart phone sells is given by:
revenue=cost+profit
cost of producing an phone is:
C(x)=2x+35

Profit is given by the function:
P(x)=-x^2+120x-435
Thus the revenue will be:
R(x)=-x^2+120x-435+2x+35
R(x)=-x^2+122x-400
The answer is A