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What is the graphical method in Linear Programming?

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The graphical method is a technique used to solve LP problems with two decision variables. It involves plotting the constraints on a graph to form the feasible region, then identifying the optimal solution by evaluating the objective function at the corner points (vertices) of the feasible region.

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By graphing the constraints and the objective function on a coordinate plane, the graphical approach in linear programming is a visual technique used to solve optimization problems with two choice variables. Using this method, the constraints are plotted as lines, the feasible zone is determined by overlapping all the constraints, and the objective function is evaluated at the feasible region's corner points (vertices) to find the best solution. The graphical method facilitates the identification of the maximum or minimal solution by simply examining the values of the objective function at these vertices. Higher dimensions are difficult to graphically depict, therefore this method works well for minor issues with two variables and is especially helpful for grasping concepts related to linear programming.

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The graphical method in linear programming involves plotting constraints on a graph to identify feasible regions, then finding the optimal solution by evaluating the objective function at the vertices of this region. It's typically used for problems with two variables.

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plotting the objective function and constraint lines on a graph to find the optimal solution point.

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