Consider the location of a new plant that will supply raw materials to a set of existing plants in a group of companies, Let there be 3 existing plants that have a material movement relationship with the new plant. Let the existing plants have locations of 1:(400,200),2:(1100,800), and 3:(800,500). Furthermore, suppose that the number of tons of materials transported per year from the new plant to various existing plants are 300 , 800 , and 1500 respectively. The objective is to determine the BEST location for the new plant such that the distance moved (cost) is minimized. Show the steps and find the Best (x) and Best (y). Note - The distances are measured in rectilinear form