Discover the Power of Linear Programming: A Beginner's Guide 📊

This optimization technique is so cool!!

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Play around with the Maple Learn document I use in the video ►https://learn.maplesoft.com/index.html#/?d=BKPFENAKGUBUOJKIFQGKANJJEQCILUMGLIESEUBRELCPBNDLLPDTBQNPIFERNFNGHJIPMGNHJOHJGTLMAIILKQOMHOLOCGISETMS

In this video we explore the idea of Linear Programming, which is an extremely powerful constrained optimization technique. It involves maximizing or minimizing a linear function with constraints a list of linear inequalities. The feasible region is all points satisfying those inequalities, and the big question is which points in the feasible region (which looks like a polygon) give the optimum values? The big idea of linear programming is that the optimal values occur at the vertices, that is where the iso-value line first touches the polygon.

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0:00 Linear Programming
1:31 The Carpenter Problem
4:20 Graphing Inequalities with Maple Learn
5:45 Feasible Region
8:29 Computing the Maximum
10:36 Iso-value lines
13:15 The Big Idea

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