In my highschool curriculum there's a a chapter on Linear Programming Problems. In the chapter there are bunch of unproved statements and mechanical ways to solve linear problem. But my question is- Is there any other way to solve them without plotting lines? Things are looking really unrigorous to me. And what book should I refer to if I want to have a better understanding of LP ?
2026-03-29 20:04:04.1774814644
Linear Programming : Is there any other way to solve than graphs?
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You can take a look at operations research, which is a field specializing in linear programming, or more exactly, optimization problem. In accordance with the comment above, linear programming problems with more than two variables are not possible to be solved by graphs. In operations research, we try to make use of other methods, say Simplex method. In order to fully understand the content in operations research, some knowledge in linear algebra may be needed. In fact, some of the concepts in operations research are highly related to the graphical method in two-variable LP. The book Operations Research: an Introduction by H.A. Taha would be a nice reference book. I hope it helps.