Question: Suppose that Migros has five stores (wi,...,Ws) in a specific region of stanbul, and are displayed in the map below. The total volume in cubic

Suppose that Migros has five stores (wi,...,Ws)

Suppose that Migros has five stores (wi,...,Ws) in a specific region of stanbul, and are displayed in the map below. The total volume in cubic weight to be sent to these stores, transportation cost per cubic weight per unit distance and x-y coordinates of these stores are displayed in the following table. Table 1.1: Information about the stores Transportation cost/cwt/unit distance Total volume (cwt) 3500 Store X-cooordinate y-coordinate wi $0.050 3 6 W2 3000 $0.075 5 6 W3 2500 $0.050 2 5 W4 2000 $0.075 6 3 15 1500 $0.075 7 5 The company wants to locate a warehouse to serve these five stores and determine its optimal location. a) Write the corresponding mathematical model for the above problem. In addition, state the name of this problem type. b) Apply two iterations of the corresponding algorithm to find the optimal x-y coordinates for the warehouse. Suppose that Migros has five stores (wi,...,Ws) in a specific region of stanbul, and are displayed in the map below. The total volume in cubic weight to be sent to these stores, transportation cost per cubic weight per unit distance and x-y coordinates of these stores are displayed in the following table. Table 1.1: Information about the stores Transportation cost/cwt/unit distance Total volume (cwt) 3500 Store X-cooordinate y-coordinate wi $0.050 3 6 W2 3000 $0.075 5 6 W3 2500 $0.050 2 5 W4 2000 $0.075 6 3 15 1500 $0.075 7 5 The company wants to locate a warehouse to serve these five stores and determine its optimal location. a) Write the corresponding mathematical model for the above problem. In addition, state the name of this problem type. b) Apply two iterations of the corresponding algorithm to find the optimal x-y coordinates for the warehouse

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