Consider the following data on locating a new facility which has to serve 5 different existing facilities.

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Consider the following data on locating a new facility which has to serve 5 different existing facilities. The coordinates of the existing facilities are (30, 20), (40, 50), (30, 30), (15, 30)

and (20, 40). The number of tons of material transported per year from the new facility to each of the existing facilities is given below. Find the optimal X and Y-coordinates of the new facility.

Existing Facility 1 2 3 4 5 New facility 1000 980 1500 2000 1750 AppendixLO1

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