Practical application of simplex method for solving linear programming problems

In this paper we consider application of linear programming in solving optimization problems with constraints. We used the simplex method for finding a maximum of an objective function. This method is applied to a real example. We used the “linprog” function in MatLab for problem solving. We shown how to apply simplex method on a real world problem, and to solve it using linear programming. Finally we investigate the complexity of the method via variation of the computer time versus the number of control variables.