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There are six cities in Kilroy County. The county must determine where to build fire stations.

There are six cities in Kilroy County. The county must determine where to build fire stations. The county wants to build the minimum number of fire stations needed to ensure that at least one fire station is within 15 minutes (driving time) of each city. The times (in minutes) required to drive between the cities in Kilroy county are shown below. Formulate an IP that will tell Kilroy how many fire stations should be built and where they should be located.



To

From City 1 City 2 City 3 City 4 City 5 City 6
City 1 0 10 20 30 30 30
City 2 10 0 25 35 20 10
City 3 20 25 0 15 30 20
City 4 30 35 15 0 15 25
City 5 30 20 30 15 0 14
City 6 20 10 20 25 14 0

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