Hi there... A little mental blockage ='-(
1. A thief has a bag that cannot be larger than 5m^3.
2. He is a superman, and he can carry ANY amount.
3. He finds piles of valuable powders. He plans to steal them... naughty naughty.
4. Each pile is of a DIFFERENT powder, with its unique volume (in m^3), value (per gram), and
density (in grams per cm^3).
His goal is to steal as much as high bag allows (size-wise of course, cuz the weight isn't an
issue) with the highest value.
NOW, my question:
How can I determine which piles he should take?
(Yes, the obvious answer is, "take as much of the most valuable powder as he can"; yes, but how do you determine that, mathematically?
I am so hopeless at maths; please help and allow me to sleep!