Linear Programming

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This is a visual representation of a linear optimization problem, also known as a linear program. This shape illustrates an example known as the "Brewery Problem". Its objective is to maximize profit from selling three beers (light, dark, and ale), each requiring unique combinations of three limited resources (barley, hops, and yeast). The polytope represents the feasible region, which means amounts of the three beers that can be brewed without exhausting the resources. A plane represents the profit level. Every point on that plane has the same level of profit. The optimal solution to the problem is where the plane intersects the polytope. There's more to it (for example, check out this post: https://greenor.wordpress.com/2014/02/09/visualizing-lps-in-mathematica/) but that's the basic idea.