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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

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 $363 each. If more people show up that you have seats for, you need to pay $590 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.

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