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Note that the capacity of each facility is unlimited, there is no need to divide a customer's demand and assign parts of it to the

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Note that the capacity of each facility is unlimited, there is no need to divide a customer's demand and assign parts of it to the two facilities. Indeed, a customer should be assigned to the facility for which the cost of transportation is at a minimum. Your task is to write a general mathematical model and explain all the sets, parameters, objective functions, and constraints involved in this problem. Q.3 Tires and Brakes, Inc., is an automobile service company that specializes in tire and brake replacement. It has four service centers in a metropolitan area. It also has a warchouse that supplies tires, brakes, and other components to the service centers. The company manager has deternined that he needs to add two more warehouses to improve component delivery service. At the same time, he wants the location of the two new warchouses to minimize the cost of delivering components from the new warehouses to the existing facilities (four service centers and the existing warehouse) as well as between the new warehouses. The four service centers and warehouse have these coordinated locations: (8,20),(8,10),(10,20),(16,30), and (35,20). It is anticipated that there will be one trip per day between the new warehouses. The numbers of trips between the new warehotses (W2,W2) and the four service centers (SC1SC2) as well as the existing warchouse (SCS) are provided in the matrix. Write the maticmatical model of the problem and solve it with amy optimiration solver

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