Galaxy Cloud Services operates several data centers across the United States tha
ID: 3179946 • Letter: G
Question
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 Suppose that Galaxy Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York. Management is considering increasing the 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:
The projected needs are for a total increase in capacity of 80 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.
Data Center Cost ($ millions) Secure Servers Super Secure Servers Michigan 2.5 60 30 New York 1 1.5 40 30 New York 2 1.5 70 70 Ohio 1.5 40 60 California 1.5 40 50 Let if data center i is updated 0 if data center i is not updatedExplanation / Answer
If we are following the binary model means either the data center will be updated or not. So except Michigan rest all bear a cost of 1.5 Million Dollar. Since we have to include 2 data centers to meet the demand so Michigan alone or along with any other data center will cost more. So looking at the above table we can infer that it would be more cost efficient if we update both the New York Data center.
Cost will be 3 Million Dollars and Number of updated secure servers and super secure servers are 110 and 100 respectively, meeting the increased demand conveniently.
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