There are a number of things you probably need to factor into your solution like:
- how does the price change with box weight - is there a sweet spot?
- is there a minimum box weight?
- does it matter if the box weights are wildly different?
- does the merchandise impose restrictions on box weight?
- do you really need the best solution, or is a 95% solution good enough?
It is hard to provide much help beyond "it's a knapsack problem" without a bit more detail about the constraints, and impossible to provide anything approaching an optimim solution.
On the other hand, with a little more information, this sort of problem is the sort of thing that monks like to find solutions for and your particular variant doesn't sound particuarly intractable.
DWIM is Perl's answer to Gödel
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