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5. In a rural part of Florida, health outreach clinics are to be located over an area coincident with 10 magisterial districts. Five potential sites

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5. In a rural part of Florida, health outreach clinics are to be located over an area coincident with 10 magisterial districts. Five potential sites are available for locating health outreach clinics. Distances between the centroids of the districts and the potential sites are tabulated in km, along with the population of each district. Determine the locations of the clinics that minimize the total distance traveled per unit time, based on locating a maximum of (a) one clinic, (b) two clinics, and (c) three clinics. (Use population values as an estimate of the number of trips between districts and health clinics.)

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