This module presents a linear programming problem. An example of the revenue-maximizing product mix for a pizza parlor is developed. This is an example of a more general mathematical optimization (maximization or minimization) problem. The applications of linear programming to a wide variety of areas are also discussed. The focus of the module is on linear equations and linear inequalities, and solving the optimization problem by examining the vertices and facets of the feasible set and the slope of level curves of the objective function.