Question: Is this more of an unbounded multi-dimensional knapsack problem? With bin packing, you have multiple bins and you're minimizing the bins used. With knapsack, you're maximizing the value (in this case, count) of the objects fit into the finite knapsack.
Question: Is this more of an unbounded multi-dimensional knapsack problem? With bin packing, you have multiple bins and you're minimizing the bins used. With knapsack, you're maximizing the value (in this case, count) of the objects fit into the finite knapsack.