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The Health Care System of New Mexico (HCSNM) is planning to build a number of new emergency care clinics in Albuquerque. HCSNM management has

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The Health Care System of New Mexico (HCSNM) is planning to build a number of new emergency care clinics in Albuquerque. HCSNM management has divided a map of the area into seven regions. They want to locate the emergency centers so that all seven regions will be conveniently served by at least one facility. Five possible sites are available for constructing the new facilities. The costs of the facilities and the regions that can be served conveniently by each site are indicated by X in the following table: Possible Building Sites Region Paseo (1) Central (2) Gibson (3) Rio Rancho (4) Corrales (5) 1 X X X 2 3 4 5 X X X X X 6 X X 7 X X X Cost ($000s) 800 650 450 550 650 Formulate an IP to determine which sites should be selected in order to provide convenient service to all locations in the least costly manner. I suggest you write out the complete formulation before answer the multiple-choice questions. Decision Variable: Xi=1 if site i is selected, 0 otherwise. i=1-5 Which of the following is the objective function?

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