Linear Programming Lecture Notes

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Linear Programming : Penn State Math 484Lecture NotesVersion Griffin 2009-2014Licensed under a Creative Commons Attribution-Noncommercial-Share Alike United States LicenseWith Contributions By:Bob Pakzad-HursonGreg FerenceVeselka KafedzhievaMichael ClineAkinwale AkinbiyiEthan WrightRichard BenjaminDouglas MercerContentsList of FiguresvPrefaceixChapter 1. Introduction to Optimization11. A General Maximization Formulation22. Some Geometry for Optimization43. Gradients, Constraints and Optimization10Chapter 2. Simple Linear Programming Problems131. Modeling Assumptions in Linear Programming142. Graphically Solving Linear Programs Problems with Two Variables (BoundedCase)163.

1.1 Goat pen with unknown side lengths. The objective is to identify the values of xand ythat maximize the area of the pen (and thus the number of goats that can be kept).2 1.2 Plot with Level Sets Projected on the Graph of z. The level sets existing in R2 while the graph of zexisting R3. The level sets have been projected onto their

  Side, Plot