Suppose that a city is considering the relocation of eight fire stations to improve fire protection in  several regions. The following table shows the potential locations for fire stations along with the  regions that can be covered from these locations are shown in the following table. The city wants to  find the minimum number of locations necessary to provide coverage to all regions. Potential Locations for Stations Regions  Potentail Locations for Stations Regions Covered A 1,2,5,7 B 1,3,5 C 2,4,6 D 1,3,5,7 E 4,5,6,7, F 2,3,7 G 1,3,4,6 H 1,3,4,6,7

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