Question: Bill has just completed his exams for the academic year and wants to celebrate by seeing every movie showing in theaters in his town and

Bill has just completed his exams for the academic year 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.

The cost of driving is 75 cents per mile. Bill wishes to determine the towns he needs to visit to see all the movies while minimizing his total cost.

Theater location Movie offerings Round-trip iles Cost per show () In-town City A City B City C City D City E City F 1, 3 1.6,8 2, 5,7 1,8,9 2, 4,7 1,3,5,10 4,5,6,9 25 30 28 40 35 32 7.95 5.50 5.00 7.00 4.95 5.25 6.75

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