<s>[INST] An airline has 250 passengers on a flight, the plane can carry 240 passengers so the flight is overbooked. If the airline offers vouchers to passengers to take a later flight. The airline wants to persuade exactly 10 passengers to take the later flight. Assume the all passengers have the same preferences and the voucher is the same for all passengers. The cost of the voucher is $100 per passenger. The airline will save $200 if it does not have to accommodate the 10 extra passengers. What is the minimum value of the voucher that would persuade exactly 10 passengers to volunteer?[/INST]