The monthly revenue, in dollars, from the sales of a gaming console at one store is represented by the function below, where x is the number of gaming consoles sold.

R(x) = -0.45x^2 + 160x + 412

The monthly cost, in dollars, for the store to supply their patrons with x number of the gaming consoles is given by the function below.

C(x) = 205x + 300

Determine the function that represents the total monthly profit from the gaming consoles.

The monthly revenue in dollars from the sales of a gaming console at one store is represented by the function below where x is the number of gaming consoles sol class=

Respuesta :

Revenue is the gross amount brought in by sales. So if we subtract the costs, we get the net amount, which is the profit. Therefore, if monthly revenue is R(x) = -0.45x^2 + 160x + 412, and monthly cost is C(x) = 205x + 300, then profit P(x):
P(x) = R(x) - C(x) = -0.45x^2 + (160x - 205x) + (412 - 300)
P(x) = -0.45x^2 - 45x + 112
This fits the choices (-0.45, -45, 112)