Galaxy Cloud Services operates several data centers across the 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 Suppose that Galaxy Cloud Services currently has five outdated data centers; one each in Michigan, Ohio, and Callfornila and two in New York. Management is cansiderifh increasing the capacity of these data centers to keep up with increasing demand. Each data center contains servers that are dedicated to "Fecure" dota and to "Super secure" data. The cast to update each data center and the ruciatina iarrease in server capacity for each type of server is as follows: Ine projected needs are for a total increase in capacity of 90 5ecure servors and 90 super 5 ecure 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 solution to the capacity increase question focing managementi If required, round your answers to one decimal plece. Let x1={1ifdatacenter1isupdated0ifdatacentertisnotupdeced (b) Solve the modei formulated in part (a) to provide a recommendation for management. if required, round your answers to one decimal place. Optimal solition: Total Coste 4 Milions Galaxy Cloud Services operates several data centers across the 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 Suppose that Galaxy Cloud Services currently has five outdated data centers; one each in Michigan, Ohio, and Callfornila and two in New York. Management is cansiderifh increasing the capacity of these data centers to keep up with increasing demand. Each data center contains servers that are dedicated to "Fecure" dota and to "Super secure" data. The cast to update each data center and the ruciatina iarrease in server capacity for each type of server is as follows: Ine projected needs are for a total increase in capacity of 90 5ecure servors and 90 super 5 ecure 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 solution to the capacity increase question focing managementi If required, round your answers to one decimal plece. Let x1={1ifdatacenter1isupdated0ifdatacentertisnotupdeced (b) Solve the modei formulated in part (a) to provide a recommendation for management. if required, round your answers to one decimal place. Optimal solition: Total Coste 4 Milions