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Question: minimize discs problem

Question:minimize discs problem

brian bovril 889 Maple 18
December 26 2014
2

files.mw

From art of problem solving ws: "Jamal wants to save 30 files onto disks, each with 1.44 MB space. 3 of the files take up 0.8 MB, 12 of the files take up 0.7 MB, and the rest take up 0.4 MB. It is not possible to split a file onto 2 different disks. What is the smallest number of disks needed to store all 30 files?"

The answer is 13: 3*[0.4,0.8]+6*[0.7,0.7]+4*[0.4,0.4,0.4]

How to accomplish this in maple? my attempt doesnt work, unsurprisingly...
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