Question: In Problem S7-17, suppose the division commanders are limited to three possible sites for the supply depot because of airfield locations and enemy troop concentrations.

In Problem S7-17, suppose the division commanders are limited to three possible sites for the supply depot because of airfield locations and enemy troop concentrations. The coordinates (in kilometres) of these three potential sites are Site 1 (400, 250), Site 2 (100, 200), and Site 3 (200, 500). Using the load-distance technique, determine the best site for the supply depot.


Problem S7-17

An army division in Afghanistan has five troop encampments in the desert. The division leaders want to determine the best location for a supply depot to serve the camps. The (x, y) coordinates (in kilometres) of the camps, A, B, C, D, and E, and the daily amount of supplies (in tonnes) required at each camp are as follows:


Coordinates Daily tonnage Camp (1000s) A 110 120 85 70 300 110 520 350 75 300 450 60 E 400 600 100

Coordinates Daily tonnage Camp (1000s) A 110 120 85 70 300 110 520 350 75 300 450 60 E 400 600 100

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