We don't think there is a standard or optimal solution for all situations.
And not everyone can find, or afford, such an optimal solution.
In this case, the optimal solution could contain at most copies of i.
We know what the optimal solution would have been.
Linear programming can be used to find a single optimal solution.
This seems to be the optimal solution for the male.
They're seeing how to use ideas to provide optimal solutions.
The optimal solution to the hat problem, for all numbers of players, is still unknown.
We must find the optimal solution - the appropriate balance between different rules and common requirements.
For this model, the optimal solution is in general much harder, however.