Suppose a new hospital is to be built to provide medical and healthcare service to 5 towns coordinate (5,6), (1,3), (13,7),(11,2) and (8,1) on map, the transportation network is rectilinear travel
1. Determine the coordinates of potential site for hospital to be built so that distance of hospital to furthest town is minimize. State any assumption used
2. if it is not possible to build hospital at site that have x coordinates less than 7 and a new hospital is to be built on site recommended from (i) which town would be furthest away from hospital and what is the distance