Student Government at a University is chartering a plane for Spring Break. The plane can seat 150 passengers. The airline will charge $120 per passenger and added to this a surcharge of $15 per passenger for each unsold seat. Let x represent the number of unsold seats
(a) Show that the airline s revenue R = (150 - x) (120 + 15x)
(b) How many seats should be unused to maximize the airline s revenue?
(c) What price would each passenger pay if the airline maximized its revenue?
(d) Is this a good deal for the Student Government?