Linear Programming: Graphical Method

The Graphical Method is a simple and visual way to solve linear programming problems, especially when there are only two decision variables.



This method involves plotting the constraints as linear inequalities on an XY-plane. The region where all constraints overlap is called the feasible region. The solution lies at one of the corner points (vertices) of this region.

To find the optimal solution, you:

  1. Plot the constraints on a graph.
  2. Identify the feasible region.
  3. Calculate the value of the objective function at each corner point.
  4. Choose the point that gives the maximum or minimum value (as required).

It’s a quick and effective method for small problems and helps visualize how different constraints interact.






















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3 Comments

  1. Operations research can get very abstract, but your examples made the topic much more tangible.

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  2. "This was the first time I actually followed a graphical LP example from start to finish."

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    1. That’s a win! Happy to make it understandable.

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