You have been put in charge of making schedule for flights between Phoenix and Vegas. There are 7 flights daily with the capacity seating of 120, 120, 120, 150, 150, 150 and 200 and each flight leaves every 2h with the first flight leaving at 8am and the last flight leaving at 8pm. If a flight is overbooked, passengers are given $200 and an extra $50 for every hour that their trip is delayed (e.g., I am booked for 12 noon, and delayed until 8pm, so I get $200 + 8*50 = $400)