Given the location information and volume of material movements from a supply point to several retail locations for Bourbon Hardware, find the optimal location for the supply point using the center-of-gravity method.

C(x) = [20(2800) + 18(2500) + 3(1600) + 3(1100) + 10(2000)]/10,000 = 12.91

C(y) = [5(2800) + 15(2500) + 16(1600) + 4(1100) + 20(2000)]/10,000 = 12.15

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Location Retail Outlet Coordinates Material Movements 20 5 2,800 2,500 1,600 1,100 2,000 2 18 15 3 16 4 4 10 20