Question

A local courier service estimates its monthly operating costs to be $1500 plus $0.85 per delivery. The service generates revenue of $6 for each delivery. Let x = the number of deliveries in a given month. The function C(x) = .85x + 1500 represents the operating cost. The function R(x) = 6x represents the revenue generated. Knowing that profit = revenue - cost, write a function, P(x), that represents the monthly profits for making x deliveries per month.​

Answer 1

P(x) = 5.15 x + 1500

Explanation:

The monthly operating costs = $1500 plus $0.85 per delivery.

The service generates revenue= $6 for each delivery

If in a given month the deliveries number was = x then;

Operating cost function : C(x) = 0.85x + 1500

Revenue generated function R(x) = 6x

Profit = Revenue - cost

P(x) = R(x) - C(x)

P(x) = 6x - 0.85x + 1500

P(x) = 5.15 x + 1500