The health-care researcher who designed this quiz deserves a round of applause.
But how do Operations Researchers find such solutions? Sometimes, the problems are provably cute (journals love to publish these).
But very often in practice, you end up dealing with this:
No fear. Well-designed practical algorithmic approaches employing robust, industrial-strength optimization tools like CPLEX can help OR'ers recover high quality solutions to challenging, seemingly intractable, messy-data riddled, real-world decision problems.
Losing out on the perfectly good in a quest for the perfect seems pretty silly.