Meta Cloud Services operates several data centers across the United States containing servers that store and process the data on the Internet. Suppose that Meta Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York.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 are as follows:Data CenterCost ($ millions)Secure ServersSuper Secure ServersMichigan2.55030New York 13.58040New York 23.54080Ohio4.09060California2.02030The projected needs are for a total increase in capacity of 90 Secure servers and 90 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.

Decision Variables: Suppose-X1 be the Michigan data centerX2 be the New York 1 data centerX3 be the…

Answered: Meta Cloud Services operates several…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Meta Cloud Services operates several data centers across the United States containing servers that store and process the data on the Internet. Suppose that Meta Cloud Services currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York.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 are as follows:

Data Center	Cost ($ millions)	Secure Servers	Super Secure Servers
Michigan	2.5	50	30
New York 1	3.5	80	40
New York 2	3.5	40	80
Ohio	4.0	90	60
California	2.0	20	30

The projected needs are for a total increase in capacity of 90 Secure servers and 90 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.

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