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Assume a new hospital is to be built to give emergent medical healthcare service to five town w coordinates (5, 6), (1, 3), (13, 7), (11, 2), (18, 1) on map. The existing transportation network for region containing the five towns allows only rectilinear travel:

1) Find out the coordinate of potential sites for the hospital to be built at these distance of hospital to furthest town is minimizes. Describe any assumptions

2) If it isn’t possible to build hospital at site which has x coordinated less than 7 and the new hospital to be built at site identified from (1), which towns would be furthest away from the hospital and what is this furthest distance?

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