Galaxy Coud Services operates several data centers across the United States that contain servers which store and process the data on the fnternet. Suppose that Galaxy Cloud Service: currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York. Management is considering increasing the capsoty of these data centers to keep up with increasing demand. Each dota center contains servers that are dedicated to "Secure" data and to "Super Secure" data. The cost to update each data conter and the resulting increase in server capacity for each type of server is as follows: The projected needs are for a total increase in capacity of B0 Secure servers and 80 Super Secure servers. Management wants 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 solutioo to the capacity increase question facing management, if required, round your answers to one decimal place. Let x={1ifditacenteriirupdatedBifdatacenter1itnotupdated Let xr={tifdatacenter1isupdated0ifdatacenteriisnotupdated (b) Solve the model formulated in part (a) to provide a recommendation for management. If roquired, round your ansaers to one decimal place. Optimal solution: Total Cost:1 Mililions