Question 3

10 pts

You run a small airline that operates ten 30 seat airplane flights per day. For each flight, you can sell up to 32 tickets at $370 each. If more people show up that you have seats for, you need to pay $585 for each seat you don't have available. If you sell 32 tickets, the probability that exactly 32 people show up is 5% and exactly 31 people show up is 20%. If I sell 31 tickets, the probability that exactly 31 people show up is 20%. If I sell the profit-maximizing number of tickets for each flight, how much money would I expect to make (ticket revenue - penalty) each day? Round your answer to the nearest dollar without the dollar sign. For example, if your answer is $1,322,323.42, enter 1322323 into the box.