"Hizli Uretim AS" has 2 manufacturing facilities; one is in anakkale and the other one is in Gaziantep. Each has 50000 pallets monthly production capacity. Because of the increasing demand and fluctuations in the market; "Hizli Uretim AS" wants to build three distribution centers (DC) that will serve 10 customers who are located in different locations. The capacities for distribution centers will be 40000 pallets per month. Demand and customer Cities are listed in table 1. Assume same unit cost for all shipments $1/km/pallet. Table 1: Customer Demand Info Customer 1 Customer 2 Customer 3 Customer 4 Customer 5 Customer 6 Customer 7 Customer 8 Customer 9 Customer 10 City Antalya Edirne Van Erzurum Samsun Aydin Konya Kayseri Adana Trabzon Demand Pallets/month 10000 6000 14000 16000 140 8000 4000 10000 6000 12000 Your final objective is to determine the locations for three new DCs (in which cities to build). Steps and tasks to follow - First place Turkiye in a coordinate system and identify origin (0,0). Based on this coordinate system determine (x, y) coordinates of the demand cities. - Task 1: Use gravity method for single facility without considering capacity requirements. (This is same as assuming all three DCs are located at the same city). Don't make any differentiation between manufacturing facility and customers. Use corresponding weights and locate best place. Identify the city that DCS should be located. Calculate the total cost