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 transportaion network is rectilinear travel
1. Determine the corordinates of potetial site for hospital to be built so that distnace of hosptal 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 hosptial and what is the distance.