The Southeastern Conference has nine basketball officials who must be assigned to three conference games, three to

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The Southeastern Conference has nine basketball officials who must be assigned to three conference games, three to each game. The conference office wants to assign the officials so that the total distance they travel will be minimized. The distance (in miles) each official would travel to each game is given in the following table:

Game Official Athens Columbia Nashville 1 165 90 130 2 75 210 320 3 180 170 140 4 220 80 60 5 410 140 80 6 150 170 190 7 170 110 150 8 105 125 160 9 240 200 155 Determine the optimal assignment(s) to minimize the total distance traveled by the officials.

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