Question: 0 5 5. John has just complete his final exams and wants to celebrate by seeing every movie showing in theaters in his town and

0 5 5. John has just complete his final exams and wants to celebrate by seeing every movie showing in theaters in his town and in six other neighboring cities. If he travels to another town, he will stay there until he has seen all the movies he wants. The following table provides the information about the movie offerings and the round-trip distance to the neighboring town. Theater location Movies offerings Round-trip miles Cost per show (S) In town 1,3 7.5 City 1 1.6,8 25 5.5 City 2 2,5,7 30 1,8,9 28 7 City 4 2.4.7 40 4.9 City 5 1,3,5,10 City 6 4,5,6,9 32 6.5 The cost of driving is 75 cent per mile. Bill wishes to determine the towns he needs to visit to see all the movies while minimizing his total cost. (Hint: this is a set covering problem) (15%)(x) = 1 if town is selected; x = 0 if town is not selected) City 3 35 5.2

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