Stressing the use of several software packages based on simplex method variations, this text teaches linear programming's four phases through actual practice. It shows how to decide whether LP models should be applied, set up appropriate models, use software to solve them, and examine solutions. Contents - Introduction to Systems of Linear Equations (Linear Systems) and Related Properties of Matrices Introduction to Linear Programming Elementary Properties of the Feasible Set for an LP Introduction to the Simplex Method Topics in LP and Extensions Duality Quadratic Programming Minimizing a Quadratic Function Network Algorithms Appendix 1. Forms of LPs Appendix 2. Solutions Supplement for Chapter 2 Appendix 3. Solutions Supplement for Chapter 5 Reading List.