Write a programming model that minimizes the total annual time that users spend accessing their files.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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A company that sells computer network systems is planning to offer free memory storage services to its customers where picture, music, and video files can be stored. The company is planning to initially start with three servers, each of whose capacity is provided in Table 2.

The company anticipates that its customers may store up to 300,000 picture files, up to 100,000 music files, and up to 100,000 video files. A typical picture file is expected to be accessed 8,000 times a year, whereas each music and each video file are expected to be accessed 4,000 and 2,000 times per year, respectively. Whenever a customer accesses a file, it will have to be retrieved to become available again. The amount of time that it takes for a file to be retrieved depends on the type and the server being used (Table 3). Write a programming model that minimizes the total annual time that users spend accessing their files.

 

1/35
Server
Capacity (Number of Files)
Server 1
Server 2
Server 3
Table 2: Server Capacity
Time (In Seconds)
Server:
Picture
Music
Video
2.
4.
Server 1
Server 2
8.
5.
Table 3: Server Speed for Different File Types
Server 3
6.
Transcribed Image Text:1/35 Server Capacity (Number of Files) Server 1 Server 2 Server 3 Table 2: Server Capacity Time (In Seconds) Server: Picture Music Video 2. 4. Server 1 Server 2 8. 5. Table 3: Server Speed for Different File Types Server 3 6.
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