\BOOKMARK [2][]{Outline0.1}{Outline}{} \BOOKMARK [1][]{Outline1}{Main Talk}{} \BOOKMARK [2][]{Outline1.2}{Graphical solutions to two dimensional problems}{Outline1} \BOOKMARK [3][]{Outline1.2.1.6}{Representing constraints as sections of the plane}{Outline1.2} \BOOKMARK [3][]{Outline1.2.2.19}{Handling the objective function}{Outline1.2} \BOOKMARK [3][]{Outline1.2.3.31}{Exercises}{Outline1.2} \BOOKMARK [2][]{Outline1.3}{Convexity and Polyhedral Sets}{Outline1} \BOOKMARK [3][]{Outline1.3.1.65}{Hyperplanes and Halfspaces}{Outline1.3} \BOOKMARK [3][]{Outline1.3.2.68}{Convexity and Polyhedral Sets}{Outline1.3} \BOOKMARK [2][]{Outline1.4}{Extreme Points and Extreme Directions}{Outline1} \BOOKMARK [3][]{Outline1.4.1.76}{Extreme Points}{Outline1.4} \BOOKMARK [3][]{Outline1.4.2.81}{Properties of Extreme points and Extreme directions}{Outline1.4} \BOOKMARK [3][]{Outline1.4.3.111}{Importance}{Outline1.4} \BOOKMARK [2][]{Outline1.5}{Basic Feasible Solutions}{Outline1} \BOOKMARK [3][]{Outline1.5.1.126}{Finding Basic Feasible Solutions}{Outline1.5} \BOOKMARK [3][]{Outline1.5.2.136}{Relation to Extreme Points}{Outline1.5}