A contractor for the military is looking for a new location for a supply depot. The depot will supply four bases whose tonnage (demand) and map coordinates are shown below
If management wants the depot to have a central location, what should be its map coordinates?
Bases (X,Y) Coordinates Tonnage
Fort Able (40,110 ) 30,000
Base Baker (70, 50 ) 60,000
Camp Charlie (90, 20 ) 35,000
Camp Delta (70, 80 ) 75,000
The depot should be located near X = 69, Y = 65.
Bases Weight X coord Y coord X mult. Y mult.
Fort Able 30,000 40 110 1,200,000 3,300,000
Base Baker 60,000 70 50 4,200,000 3,000,000
Camp Charlie 35,000 90 20 3,150,000 700,000
Camp Delta 75,000 70 80 5,250,000 6,000,000
Sum 200,000 270 260 13,800,000 13,000,000
Weighted Average 69 65
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