Formulate an integer programming model that could be used to find the minimum number of stores to open in order to cover customers of all areas for the home delivery service.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A store is offering a discount on 800 pairs of basketball shoes in Singapore. The
amount of the discount varies and is not revealed to the customer until checkout. The
following table shows the potential areas for home delivery service covered by each
store.

(Refer to the attached picture below)

Formulate an integer programming model that could be used to find the minimum
number of stores to open in order to cover customers of all areas for the home
delivery service. 

Store Location
L1
L2
L3
L4
L5
L6
L7
L8
L9
Potential
Areas Covered
3, 4, 6, 8
1,5,9
1,4,7
2, 6, 7
3,4,9
2,7,9
4, 8, 9
1, 2, 5, 6
3,6,8
Transcribed Image Text:Store Location L1 L2 L3 L4 L5 L6 L7 L8 L9 Potential Areas Covered 3, 4, 6, 8 1,5,9 1,4,7 2, 6, 7 3,4,9 2,7,9 4, 8, 9 1, 2, 5, 6 3,6,8
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