Suppose that Galaxy Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New Management is considering increasing the capacity of these data centers to keep up with increasing demand. Each data center contains s are dedicated to "Secure" data and to "Super Secure" data. The cost to update each data center and the resulting increase in server cap: each type of server is as follows: The projected needs are for a total increase in capacity of 90 Secure servers and 90 Super Secure servers. Management wants to detern Uata 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 questi management. If required, round your answers to one decimal place. Let xi={1ifdatacenteriisupdated0ifdatacenteriisnotupdated Solve the model formulated in part (a) to provide a recommendation for management. If required, round your answers to one decin Optimal solution: x1=1,x2=1,x3=1,x4=0,x5=0 Total Cost: $ Milions