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Graphical method is best for two variables, while simplex method is applicable to any number.
In 2D, the graphic technique can be used. Using the graphical way to find an ideal solution in 3D+ is no longer possible. Simplex may be used to solve linear algorithms in 1D, 2D, 3D, and 3D+.
The Graphical Method is used to solve linear programming problems with two variables by visualizing feasible regions, while the Simplex Method is an algebraic approach that can handle problems with more than two variables efficiently.
Graphic method are the easiest than simplex method, but simplex method is more detailed than graphical method
The Graphical Method and the Simplex Method are both techniques used in linear programming to optimize a given objective function, but they differ significantly in their application and complexity. The Graphical Method is primarily used for solving linear programming problems with two variables, allowing for a visual representation of constraints and the feasible region on a graph. By plotting the constraints and identifying the vertices of the feasible region, the optimal solution can be easily determined at these points. In contrast, the Simplex Method is a more advanced algorithm designed for solving problems with any number of variables and constraints. It systematically explores the feasible region's vertices through an iterative process, moving from one vertex to another to find the maximum or minimum value of the objective function. While the graphical method provides an intuitive understanding for simpler problems, the simplex method is more powerful and efficient for larger and more complex linear programming scenarios.
graphical method can be used only when two variables in models. While the simplex method is used for artificial variables but provides useful economic data.