Linear Programming Basics

This lecture covers the basics of linear programming, focusing on concepts such as basic solutions, basic feasible solutions, and optimal solutions. The instructor explains the difference between these concepts and how they relate to the feasible region and cost functions. The lecture also delves into the simplex method and the challenges of solving integer programming problems. The instructor provides insights into generating solutions for network flow problems, including the impact of degenerate solutions and their correspondence to multiple cuts in the dual. The lecture concludes with details about the upcoming exam, including the grading system and expectations for problem-solving strategies.