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Math 407 — Linear Optimization 1 Introduction

Math 407 Linear Optimization1 What is Optimization ?A mathematical Optimization problem is one in which some function is either maximized orminimized relative to a given set of alternatives. The function to be minimized or maximizedis called theobjective functionand the set of alternatives is called the feasible region (orconstraint region). In this course, the feasible region is always taken to be a subset ofRn(realn-dimensional space) and the objective function is a function further restrict the class of Optimization problems that we consider to Linear program-ming problems (or LPs).

Math 407 — Linear Optimization 1 Introduction ... 2 +···+ainxn = bi i = s+1,...,m. Linear programming is an extremely powerful tool for addressing a wide range of applied ... 1 15 B + 1 15 C 8 0 B,C Since it is an introductory example, the Plastic Cup Factory problem is particularly

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