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we 100000000 sets/locations. each set has,
A = % chance of finding a cure (there are many different types of cures) for cancer
B = time it takes to extract a cure to caner
C = the optimal % chance (IN RELATION) to time combination

we basically want to have the highest % chance of finding a cure for cancer IN RELATION the lowest time to extract a cure to cancer

We call C the "best set/location to go look for a cure in cancer in"

i tried doing a*b which doesnt make any sense at all, because the outcome would be "highest % chance PLUS highest time" which is not what we want

based on the first posted answer, im trying A/B=C
So 20%/10 VS 50%/10
we get .02 and .05 respectively
so do we want higher or lower? we want umm.. (based on the percent & time given) it looks like we want a higher number
so in those two set, we found the answer.

so the answerer said "there's no way to optimize two separate goals at the same time." i dont understand what im missing here, because didnt i jsut do that?

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closed as too localized by Michael Greinecker, Norbert, Thomas, Noah Snyder, Matt N. Oct 9 '12 at 8:11

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1 Answer 1

up vote 1 down vote accepted

In general there's no way to optimize two separate goals at the same time. However, look up "multi-objective optimization".

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so you're saying there's really nothing we can do to get near that goal? let me think, we want A = highest number of cupcakes and B = lowest price, so we do a/b= c ...so that works, why doesnt it work for this problem?? –  kittensatplay Oct 1 '12 at 0:12
I'm saying you probably can't get both the highest number and the lowest price. You could maximize $a/b$, or $a/\sqrt{b}$, or any number of other possible objectives. –  Robert Israel Oct 1 '12 at 0:18
i edited it to say (IN RELATION) to make it clearer -- i thought that's what optimization is -- highest possible of two point –  kittensatplay Oct 1 '12 at 0:19
maybe you could help with a harder (to me) problem -- math.stackexchange.com/questions/204346/… or any of my other questions –  kittensatplay Oct 1 '12 at 0:22

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