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* **Lagrangian Function:** This is the heart of the dual problem. It's formed by combining the primal objective function with the constraints, using Lagrange multipliers. Each constraint is multiplied by a corresponding Lagrange multiplier, and these terms are added to (or subtracted from, depending on the constraint type) the original objective function. The Lagrangian function essentially transforms the constrained optimization problem into an unconstrained one, incorporating the constraints through the Lagrange multipliers.
