Because there is a significant number of no-shows on a specific daily flight, the airline wants to intentionally overbook the flight. The number of no-shows can be described by a Normal distribution with a mean of 18 passengers and a standard deviation of 4.55 passengers. Profit per passenger is $99. If a passenger arrives but cannot board due to overbooking, the company policy is to provide a $200 coupon for any future flight on the airline. How many tickets should be overbooked to maximize expected profit?