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For a location covering problem to find the minimum number of fire stations that will assure a response time of no more than 5 minutes,

For a location covering problem to find the minimum number of fire stations that will assure a response time of no more than 5 minutes, you have the following matrix of inter-district travel times (minutes). If Xi is a binary decision variable denoting whether or not the ith district gets a fire station, what is the correct specification for the constraint that there must be at least one fire station that can reach District1 within 5 minutes?

District1 District2 District3 District4
District1 0 2 10 6
District2 2 0 6 9
District3 10 6 0 5
District4 6 9 5 0

options:

a

X1 1

b

X1 + X2 1

c

X1 + X2 + X3 1

d

X1 + X2 + X4 1

e

X1 + X2 + X3 + X4 1

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