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. Theater location In-town City A City B City C City D City E City F Movies offerings 1,3 1,6,8 2,5,7 1,8,9 2,4,7 1,3,5, 10 4,5,6,9 Round-trip miles 0 25 4 30 28 0 35 1 40 32 Cost per show ($) 7.95 5.50 5.00 7.00 4.95 5.25 6.75 The cost of driving is 75 cents per mile. Bill wishes to determine the towns he needs to visit to see all the movies while minimizing his total cost.
Bill has just completed his exams for the academic year and wants to celebrate by seeing every movie showing in theaters in his town and in six other neighboring cities. If he travels to another town, he will stay there until he has seen all the movies he wants. The following table provides the information about the movie offerings and the round-trip distance to the neighboring town. Theater location In-town City A City B City C City D City E City F Movies offerings 1,3 1,6,8 2,5,7 1,8,9 2,4,7 1,3,5, 10 4,5,6,9 Round-trip miles 0 25 4 30 28 0 35 1 40 32 Cost per show ($) 7.95 5.50 5.00 7.00 4.95 5.25 6.75 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.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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
Transcribed Image Text:2. 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.
Theater location
In-town
City A
City B
City C
City D
City E
City F
Movies offerings
1,3
1,6,8
2,5,7
1,8,9
2,4,7
1,3,5, 10
4,5,6,9
Round-trip miles.
0
25
30-
28
40
35
32
Cost per show ($)
7.95
5.50
5.00
7.00
4.95
5.25
6.75
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.
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