II. Problem Solving (30 points) 1. Assume that a new medical facility, Health-care, is to be located in Quezon City. The location factors, factor rating and scores for two potential sites are shown in the following table. Which is the best location based on factor rating method? (10 pts) Sl. No. Location factor Factor Rating rating Location 1 Location 2 1. Facility utilization 8 3 5 2 Total patient per month 5 3 3. Average time per emergency trip 6 5 4. Land and construction costs 1 2 5. Employee preferences 5 3 2. Wheat is harvested in the Midwest and stored in grain elevators in three different cities Kansas City, Omaha, and Des Moines. These grain elevators supply three flour mills, located in Chicago, St. Louis, and Cincinnati. Grain is shipped to the mills in railroad cars, each of which is capable of holding one ton of wheat. Each grain elevator is able to supply the following number of tons (i.e., railroad cars) of wheat to the mills on a monthly basis. 4 4 3 5 Compute the optimal solution and total cost using the transportation model: Northwest Corner Method and UV method.(20pts) The corresponding supply and demand: Chicago St. Louis Cincinnati Supply Kansas 6 00 8 10 150 Omaha 7 6 6 175 Des Moines 4 7 1 275 Demand 200 100 300