An airline is reconsidering their overbooking policies on transatlantic flights. The planes they fly have 175 seats,

Question:

An airline is reconsidering their overbooking policies on transatlantic flights. The planes they fly have 175 seats, which they sell out every time. While tickets are nonrefundable, they still have a fair number of no-shows, and often fly with empty seats. Each ticket sells for $800. However, if there are more passengers than seats, they must buy a ticket for each extra customer at a net cost of $400.
Given the following of number of passengers who don't show up, how many extra tickets should the airline sell for each flight?
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