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AN ECONOMIC INTRODUCTION TO LINEAR PROGRAMMING Section 1 Introduction
Programming Calculations by the Simplex Method
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adjacent extreme point appearing applied artificial vectors associated basis vectors cashews Charnes coefficients column vector components computation convex combinations convex polyhedron convex set coordinates corresponding cost Dantzig degeneracy Diagram dual problem economic elements equal equations example expressed finite number hazels Hence hyperplanes increase indicated inputs interpretation Koopmans lb./day lectures Leontief linear functional linear programming problem linear transformation linearly independent marginal product mathematical matrix maximal solutions maximum means mixture multiplication n-dimensional non-negative non-zero noted obtained optimal extreme points optimal program optimal solution optimal tableau optimum original problem output peanuts Pj's positive possible profit real number replaced requirements vector right-hand row labeled scalar set of solutions shadow prices simplex calculations simplex method simplex tableau slack activities slack variables slack vectors solution set space stage Table Vb theorem tion unit variables XiPi zero