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.

Specifically, attend to the following critical elements: I. Scenario Analysis: Analyze the scenario provided and explain in detail the aspects of the scenario that are most important for consideration when trying to solve the problem. II. Model Selection and Defense: Select the appropriate type of model for the scenario and defend your selection, using resources for support when necessary. III. Model Build: Correctly formulate, but do not solve, the model.

Server Server 1 Server 2 Server 3 Capacity (Number of Files) 100,000 200,000 300,000 Table 2: Server Capacity Server: Server 1 Server 2 Server 3 Picture 1 3 5 Time (in Seconds) Music 2 4 6 Table 3: Server Speed for Different File Types Video 7 8 10