# Linear Programming : Key Terms, Concepts, & Methods

May 12th, 2015
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This material has been prepared for the student who wishes to learn the basic concepts about linear programming. The material will prepare the student to use linear programming in engineering practice. It should also provide a basis for further study into the mathematics, algorithms and numerical implementation of linear programming.

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Lp ProgrammingLinear ProgrammingKey Terms, Concepts, & Methods for the UserNotes for Chemical Engineering 4G03Thomas MarlinMcMaster UniversityHamilton, Ontario, CanadaCopyright 2002, 2003 by Thomas Marlin, Hamilton, Ontario, CanadaForwardThis material has been prepared for the student who wishes to learn the basic concepts about linear programming. The material will prepare the student to use linear programming in engineering practice. It should also provide a basis for further study into the mathematics, algorithms and numerical implementation of linear programming.Linear Programming:Key Terms, Concepts, & Methods for the UserTable of Contents|Section |Title |page | |1.0 | |The Importance of Linear Programming |5 | | |1.1 |The Meaning of Optimization |5 | | |1.2 |The Importance of Linear Programming |6 | | |1.3 |Learning Goals |9 | |2.0 | |Key Modelling Assumptions and Limitations |10 | | |2.1 |Linearity |10 | | |2.2 |Divisibility |10 | | |2.3 |Certainty |11 | | |2.4 |Formulating a Linear Program |11 | |3.0 | |Linear Programming Properties and Advantages |12 | | |3.1 |Convexity |12 | | |3.2 |Activity of Inequalities |13 | | |3.3 |Location of Optimum |13 | |4.0 | |Principles for Solving a Linear Programming Problem |14 | | |4.1 |Solving Linear Equations |14 | | |4.2 |The LP Formulation |16 | | |4.3 |The Best Corner Point |19 | |5.0 | |The Linear Programming Simplex Algorithm |21 | | |5.1 |The Initial Basic Feasible Solution |21 | | |5.2 |Adding the

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