The state department of health is concerned about the lack of medical care i

The state department of health is concerned about the lack of medical care in rural areas and a group of nine communities has been selected for a pilot
program in which medical clinics will be opened to serve primary healthcare requirements. Any community can serve as a potential clinic site except for
community 6 where the facilities are unavailable. The figure below exhibits a network identifying the communities as numbered circles and the lines drawn
between the sites indicating the travel distances in miles.

Assuming that each community will be required to be 25 miles at most from the nearest clinic how many clinics would be needed and what would their
possible locations be? Provide all possible location solutions. . (Show all calculations