Solved by verified expert :MGMT 3340OPERATIONS MANAGEMENTSPRING 2015Assignment FourThe GNU Corporation is considering building a new plant. They have identified two possible locations. Location One is positioned at coordinates (6,3). Location Two is positioned (4,5). The positions and loads for the suppliers of the GNU Corporation are shown below.SupplierLoadCoordinates (x,y)A5(2,8)B12(5,6)C8(7,8)D14(7,4)E22(3,9)F9(4,7)G16(9,6)1. Use the load-distance method to determine which is best for the new plant.2. Using the same data, use the centroid or center of gravity method to identify where GNU should start looking for a new plant.3. The Notsognu Corporation has four major suppliers that supply each of their three assembly plants. The supply and demands for each site are shown below.SupplyPlant SupplyA 350B 200C 250D 150DemandsPlant Demands1 4002 2003 350The per unit transportation costs from the suppliers to the assembly plants are shown below.ABCD169124215861432114791. Set up the initial table to solve this problem using the Transportation Method.2. What is the total transportation cost for this initial solution.3. Identify an improved solution, i.e., one with a lower total cost. How much money was saved?Extra CreditFind the optimal (lowest cost) solution for the above transportation problem.