Alpha Enterprise has six existing plants. These six plants will receive raw materials from two existing warehouses. There will be movement of materials between warehouses. The locations of the existing plants are (200, 300), (500, 800), (400, 900), (300, 700), (1000, 300) and (650, 900). The monthly flow of materials(tons) from the warehouses to the existing plants is summarized below. The flow of material between the two warehouses is 100 tons/month.

Warehouse Existing Plant 1 2 3 4 5 6 1 20 10 30 0 35 50 2 30 20 0 40 60 0 Find the optimum locations of the warehouses such that the total cost of transportation is minimized. (The same mode of transportation is used and the transportation cost per ton per unit distance is same in all the routes).

AppendixLO1