In a rural part of Kentucky, 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 miles, along with the population of each district. Determine the locations of the clinics that minimize the total distance traveled per unit time, based on a maximum of

(a) one clinic,

(b) two clinics, and

(c) three clinics.

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Potential Sites Magisterial District 1 2 3 5 Population 12345678ag 45 90 90 75 60 45 9 60 10 30 90 0 75 75 303040308011158 288525 8 8 8 8 75 60 30 45 15 15 60 90 889888888 90 6,000 105 9,000 45 5,000 30 10,000 30 4,000 30 8,000 15 12,000 60 45 14,000 30 15 6,000 60 30 10,000