An investigative idea during World War II developed into the modeling procedure known as linear programming. Teachers often present linear programming as a really, cool application of systems of inequalities, but don’t give students the opportunities to understand the kinds of questions this process can answer. Let's talk briefly about the origin of this method - how and when was it first used? How is the technique applied now? Discuss the mathematical aspects of this procedure. What does it entail? What key mathematical concept(s) does it depend on?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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An investigative idea during World War II developed into the modeling procedure known as linear programming. Teachers often present linear programming as a really, cool application of systems of inequalities, but don’t give students the opportunities to understand the kinds of questions this process can answer. Let's talk briefly about the origin of this method - how and when was it first used? How is the technique applied now?

Discuss the mathematical aspects of this procedure. What does it entail? What key mathematical concept(s) does it depend on?

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Linear programming is a mathematical optimization technique used to maximize or minimize an objective function in a given mathematical model with a set of constrains represented as mathematical relationships. 

 

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