Two-phase Simplex Algorithm: Introduction and Duality

This lecture covers the two-phase simplex algorithm, starting with the introduction to solving a linear program using slack variables. The instructor explains the process of finding a basic feasible solution, introducing an auxiliary problem, and converting it into a standard form. The lecture then delves into the dual problem, discussing the maximization problem, constraints, and dual variables. Finally, the optimality condition via duality theorem is explored, demonstrating how to show an optimal solution by satisfying equality constraints in both primal and dual problems.