A pizza company plans to open new stores in different locations. They consider 6 possible new locations. There are 9 potential areas each location can serve which are listed in the following table.  Location Areas Served L1 3,4,8 L2 1,2,5 L3 1,4,7 L4 2,6,9 L5 3,5,9 L6 6,8,7 Each area must be served by at least one location. What is the minimum number of locations?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 100P
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A pizza company plans to open new stores in different locations. They consider 6 possible new locations. There are 9 potential areas each location can serve which are listed in the following table. 

Location Areas Served
L1 3,4,8
L2 1,2,5
L3 1,4,7
L4 2,6,9
L5 3,5,9
L6 6,8,7

Each area must be served by at least one location.

What is the minimum number of locations?

 
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