Question: Professor Wright needs to schedule six roundtrips between Boston and Miami. The route is served by three airlines: Eastern, US Air, and Continental. There is

Professor Wright needs to schedule six roundtrips

Professor Wright needs to schedule six roundtrips between Boston and Miami. The route is served by three airlines: Eastern, US Air, and Continental. There is no penalty for purchasing one-way tickets. Each airline offers bonus miles for frequent fliers. Eastern give 1000 miles per one-way ticket plus 5000 extra miles if the number of tickets in a month reaches 2, and another 5000 miles if the number exceeds 5. US Air gives 1500 miles per trip plus 10,000 extra for each 6 tickets. Continental gives 1800 miles plus 7000 extra for each 5 tickets. Professor Wright wants to allocate the 12 one- way tickets among the three airlines to maximize the total miles earned. 1. Formulate this problem as an integer program

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