Karush-Kuhn-Tucker (KKT) conditions

The Karush-Kuhn-Tucker (KKT) conditions are a set of mathematical rules used to find the best solution (like maximizing profit or minimizing cost) in optimization problems with constraints. Think of it as a guide that checks if a proposed solution is optimal by examining the relationships between the goal, the constraints, and the way they influence each other. These conditions identify points where the solution balances all factors perfectly—meaning no better option exists without breaking a constraint—making them essential for solving complex optimization problems efficiently.