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Before leaving for the holiday you wish to backup your most important files onto CDs. These files have sizes 240, 462, 117, 560, 379, 110, 341, 294, 503, 469, 90, 63, 617, 493, 524, and 396 MB. If the...

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Before leaving for the holiday you wish to backup your most important files onto CDs. These files have sizes 240, 462, 117, 560, 379, 110, 341, 294, 503, 469, 90, 63, 617, 493, 524, and 396 MB. If the capacity of a CD is 780 MB, formulate and solve a model to determine the minimum number of CDs needed to save all the files.

Answered 160 days After May 19, 2022

Solution

Robert answered on Oct 27 2022
42 Votes
Sizes of files = 240, 462, 117, 560, 379, 110, 341, 294, 503, 469, 90, 63, 617, 493, 524, 396MB
Total sum = 5658
Each Cd has capacity = 780 MB
63,90,110,117,240,294,341,379,396,462,469,493,503,524,560,617 is ascending order.
If partial data cannot be stored in a Cd, to put maximum usage we have...
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