3. Assignment Model TransGlobal Airlines (TGA), based in New York City, is a charter airline with seven pilots. In assigning routes, the most senior pilot chooses first, then the next most senior, and so on. TGA discovered, however, that some pilots had very little preference, while others cared a great deal about which route they were assigned. Hence, a senior pilot sometimes selected a route that a more junior pilot would have preferred, even though the senior pilot was ambivalent about his or her choice. As a result of complaints from some of the junior pilots, TGA is considering implementing a new policy. Each pilot, regardless of seniority, would rate in numerical order his or her five most preferred cities as well as standby and vacation preference. (Each period, one pilot is on standby and another pilot is on vacation.) TGA would then create a schedule that maximizes overall pilot satisfaction (giving the lowest total overall preference value) London 1 2 7 2 Paris 2 1 2 1 Moscow 5 7 6 6 Route Hawaii 3 3 3 4 Tokyo 4 6 4 7 Standby Vacation 6 7 4 5 5 1 5 3 Captain Smith Captain Jones Captain Heinz Captain Chang Captain Wells Captain Blinn Captain Klein 1 2 5 3 3 4 7 7 7 2 1 3 4 6 6 5 6 5 4 1 2 a. Given the rankings in the table below submitted by the pilots for the current scheduling period, what schedule should be assigned? b. The pilots are listed in order of seniority. Explain why Captain Smith and Captain Jones, the two most senior pilots, are particularly upset with this period's schedule