## Linear Programming: An Introduction, Issue 60Feiring provides a well-written introduction to the techniques and applications of linear programming. He shows readers how to model, solve, and interpret appropriate linear programming problems. His carefully-chosen examples provide a foundation for mathematical modelling and demonstrate the wide scope of the techniques. |

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### Contents

Series Editors Introduction | 5 |

Linear Programming Modeling | 12 |

Graphical Solution of Linear Programs | 28 |

Sensitivity or Postoptimatity Analyata | 50 |

Computer Solutions to Linear Programming Problems | 59 |

Properties of Linear Programming Problems | 69 |

Linear Programming Methods | 81 |

89 | |

### Common terms and phrases

Analyeie artificial variables basic feasible solution basic variables called canonical system Chapter constraints 3.1 convex combination convex set decision variables demand enter the basis entering variable example extreme point gives grade 1 inspectors graph hyperplane initial basic feasible input integer programming inventory costs leaving variable linear programming model linear programming problem linearly independent linearly independent vectors LP codes maximize maximize Z Modale nonbasic variable nonnegative nonpositive Note number of man-hours number of tons number of units objective function coefficients objective function value optimal solution optimal tableau original problem output period pivot element pivot operation pivot row positive production costs Regreeeion regular workforce relative profits Relax-and-Enjoy right-hand side Salt Lake City satisfy shadow price Simplex Algorithm Simplex Method slack variables standard form tons per week tons shipped Total cost unit increase unit profit units of product variable Xi verify X3 leaves Xi and X2 zero