Kuhn–Tucker conditions

The Kuhn–Tucker conditions are a set of mathematical rules used in optimization to find the best solution when there are constraints. Imagine trying to maximize your profit while limiting resources; these conditions help determine the optimal point by balancing the goal and restrictions. They involve checking whether certain variables are active (at their limits) or inactive, and ensure that at the solution, no small change can improve the outcome without violating constraints. Overall, they provide a systematic way to identify optimal solutions in complex problems with restrictions.