Linear programming, mathematical modeling technique in which a linear function is maximized or minimized when subjected to various constraints. This technique has been useful for guiding quantitative decisions in business planning, in industrial engineering, and—to a lesser extent—in the social and physical sciences.
This precalculus video tutorial provides a basic introduction into linear programming. It explains how to write the objective function and constraints of linear programming word problems. It discusses how to find all of the corner points including the point of intersection where you have to solve the system of linear inequalities. It discusses which region to shade and how to determine the maximum profit or sales produced by a company or business and how to determine the number of items that should be produced to maximize such profit or revenue. This video contains plenty of examples and practice problems on linear programming.