Linear Programming

This chapter adapted from Business Precalculus by David Lippman licenced under Creative Commons.CC-BY-SA

In the systems of equations chapter, we looked at a company that produces a basic and premium version of its product, and we determined how many of each item they should produce to fully utilize all staffed hours.  In some cases, though, it might not make the most sense for the company to utilize all the staffed hours; if the premium product has high demand and a high price, it might make more sense for the company to make as many of those, even if some staff hours go unused.  In this case, the company might be most interested in what combinations of basic and premium product production are possible.  For that, we need linear inequalities.