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The graphical method of linear programming is a visual technique for finding the optimal solution to problems with two decision variables. It involves plotting the constraints on a graph to define a feasible region, and then evaluating the objective function at the corner points of this region to find the solution that maximizes or minimizes it. This method works by plotting all the constraint inequalities on a 2D graph and finding the area where all constraints are met, then testing the corner points of this area to find the best solution.
Steps involved in the graphical method
Formulate the problem:Write the objective function and all the constraints as a mathematical model.
Plot the constraints: Treat each inequality constraint as an equation and plot the resulting line on a graph.