A ticket from on a certain flight sells for $160. The plane can hold 96 people. It costs $8000 to fly the plane no matter how many are on board. Each person on the plane incurs variable costs of $30 (for food and fuel). If the flight is overbooked, anyone showing up for the flight who cannot get a seat receives $280 in compensation. Historically, the probability that someone with a reservation shows up for the flight is 93%. 1. Use simulation to analyze the expected profit per flight based on the airline booking 105 reservations for it each time. 2. How many reservations would you recommend the airline book on a regular basis for this flight?