Question
Galaxy Gateway Galaxy Gateway operates several data centers across the United States. The data centers contain servers that store and process the data on the
Galaxy Gateway Galaxy Gateway operates several data centers across the United States. The data centers contain servers that store and process the data on the Internet. Galaxy Gateway currently has five outdated data centers: one each in Michigan, Ohio, and California and two in New York. Each data center contains Secure Servers and Super Secure Servers. If the company chooses to update a data center, the company has decided to update both types of servers within the facility. Ideally, the company would update all of the data centers with new servers, however; at this time, the company simply does not have the budget to do so. Since the company cannot update all of the servers at all of the data centers, management has set a goal to update at least 90 Secure Servers and 90 Super Secure Servers. Thus, management wants to determine which data centers to update in order to meet their goals while minimizing total cost. The cost to update each data center, as well as the number of Secure and Super Secure Servers that need to be replaced at each data center, is shown below in the table: Data Center Cost ($M) 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 Formulate a binary programming model determines which data centers will be updated while meeting the goals set forth by management at the lowest cost possible.
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