(10 points) Hertz recently determined that the number of cars they rent per day 72 is a linear function of the price p (in dollars) they charge customers per day to rent the car. Hertz found that if they charge $45 per day or less, they will rent all their cars. If they charge $250 per day or more, they will not rent any cars. If they charge customers p dollars per day to rent a car, Where 45 S p g 250, the number of cars 71 they rent per day can be modeled by the linear function n(p) = 1000 3p. Assuming the owners plan to charge customers between $45 per day and $250 per day to rent a car, how much should they charge to maximize their revenue