VIKAS.V

                GRAPHICAL METHOD Linear Programming Problems involving two decision variables can easily be solved by  Graphical Method. For Linear Programming Problems involving three or more variables, the  graphical method is impossible Solution Space The region in the graph sheet which satisfies all the constraints including the non  negativity restrictions is called the solution space.   No Solution When there exists no solution space, there is no solution to the given L.P.P. This is when  there is no common region corresponding to all the constraints. Unique Solution There is only one optimum solution for certain L.P.P is called Unique Solution.   Infinite Number of solution Certain L.P.P have infinite number of optimum solution. In such case, the optimum value  of Z is the same but the values of the decision variables x1, x2, x3,……..,differ.   Unbounded Solution In some L.P.P the maximum value of Z o...