(b) Alpha centerprise has six existiy plants. These six plants will receive raw materials from two existing warchouses. Phore will be movemert of materials between warehouses. The locations of existing plants are (200,500),(500,500)(400,900),(300,700),(1000,300) and (650,900). The menthly flow of the materials (tons) ffom to warehouse to the existing plant is summarized below. The flow of the material between the warehouses is 100 ans month. Warchouse 1 Existing Plant onte 2 3 4 5 6 1 20 10 -30 0 35 5 2 30 20 0 40 60 Find the optimum locations of the warchouses such that total cost of transportation is minimized. (The same mode of transportation is used and transportation cost per ton per unit distance is same in