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Galaxy Cloud Services operates s United States that contain servers which store and process the data on the Internet. Suppose that Galaxy Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York. Management is c e capacity of these data centers to keep up with increasing demand. Each data center contains servers that are dedicated to "Secure" data and to "Super Secure" data. The cost to update each data center and the resulting increase in server capacity for each type of server is as follows: Data Center Cost ($ millions) Secure Servers Super Secure Servers Michigan 2.5 30 30 New York 1 1.5 40 New York 2 8 8 Ohio 3.5 California 20 30 The projected needs are for a total increase in capacity of 90 Secure servers and 90 Super Secure s rants to determine which data centers to update to meet projected needs and, at the same time, minimize the total cost of the added capacity. (a) Formulate a binary integer programming model that could be used to determine the optimal solution to the capacity increase question facing management. If required, round your answers to one decimal place. Let * = 1 if data center i is updated 0 if data center : is not updated x5 s.t. x5 -Select your answer - V Secure Server x5 - Select your answer - V Super Secure Server *1, *2, X3, X4, *5 0,1 (b) Solve the model formulated in part (a) to provide a recor mendation for management. If required, round your answers to one decimal place. Optimal solution: - Select your answer Total Cost: $ Millions