Question 1 (36 points): Suppose that Carrefour has five stores (W1,...,W5) in Beylikdz region of stanbul. 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 Total volume (cwt) Transportation cost/cwt/unit distance Store X-cooordinate y-coordinate W1 3000 $0.050 3 6 W2 2000 $0.075 5 6 W3 2000 $0.050 2 5 W4 2500 $0.075 6 3 W5 1000 $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 b) What is the special name of this problem? c) Apply first iteration of the corresponding algorithm to find the optimal x-y coordinates for the warehouse