Answer
A system of linear inequalities is used to represent restrictions, or constraints, on a function that must be maximized or minimized. Using the graph of such a system of inequalities, the maximum and minimum values of the function occur at one or more of the corner points.
Work Step by Step
The variables that are subjected to conditions in the form of linear inequalities are called constraints. These are inequalities which involve only first-degree polynomials in the form of variables. The corner points are the vertices of the feasible region and once the system of inequalities is plotted on the graph, one can easily find the corner points by solving the system of linear inequalities, because corner points are mostly the intersection of two lines.
