Linear Programming Basics

This lecture provides a detailed explanation on how to derive the basic representation of a linear program in standard form, find the corresponding basic solutions, and determine if they are optimal. It also covers the concept of basic directions for non-basic variables with negative reduced costs and how to verify if the current basic feasible solution can be improved. Additionally, it explores the calculation of the number of possible basic solutions for a standard linear program with a large number of variables and constraints. The lecture concludes with a discussion on the properties relating reduced costs and optimality in linear programming.