## Linear programming: basic theory and applications |

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### Contents

Linear ProgrammingOrigin | 1 |

Basic Concepts of Linear Algebra | 13 |

Simplex Method and Interpretation of | 58 |

Copyright | |

7 other sections not shown

### Common terms and phrases

000 Variables activity vector additional amount ARTIF artificial variables assigned basic feasible solution basic solutions basic variables basis set cell Chap chapter cj row coefficients column vector components consider convex set corresponding developed dual linear programming dual problem dual solutions example Exercise final tableau given handled identity matrix income increase indicates inequality initial tableau inverse iteration linear combination linear programming problems linearly independent machine center manufactured mathematical maximum number method of solution multiplying negative nonbasic variables nonfeasible nonnegative null matrix number of hours number of units objective function obtained opportunity cost optimal solution optimal tableau original pivot element primal problem profit recovery rate requires result revised simplex method right-hand side scheduling problem Second tableau sensitivity analysis set of vectors shown slack variable spanning set stage statement surplus variables tion unit vectors Variables in basis zero