There are 6 existing plants which have a material movement relationship with a new plant.

The existing plants have locations of (300, 400), (500, 800), (1000, 700), (900, 200), (300, 750) and (1200, 500). The number of tons of materials transported per year from the new plant to various existing plants are 500, 900, 400, 900, 800 and 1600, respectively. Determine the optimum location for the new plant such that the distance moved (cost) in transporting the materials to the existing facilities is minimized.

AppendixLO1