Algorithm Question Maximize Average of Functions

Posted by paradoxperfect on Stack Overflow See other posts from Stack Overflow or by paradoxperfect
Published on 2010-03-28T20:00:25Z Indexed on 2010/03/28 20:03 UTC
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Hello,

I have a set of N functions each denoted by Fi(h). Each function returns some value when given an h.

I'm trying to figure out a way to maximize the average of all of the functions given some total H value.

For example, say each function represents a grade on an assignment. If I spend h hours on assignment i, I will get g = Fi(h) as my grade. I'm given H hours to finish all of the assignments. I want to maximize my average grade for all assignments.

Can anyone point me in the right direction to figure this out?

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