Simplex Procedure and Graphing Linear Programming problems
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Describe and illustrate graphically the special cases that can occur in a linear programming solution. What clues for these cases does the simplex procedure supply?
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Solution Summary
The link between the Simplex Method and graphing LP problems is described in detail. The expert describes the simplex procedures and graphs linear programming problems.
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As one can see in the following figure, the red square is a corner of this feasible region where more than N=2 hyperplanes in an N dimensional space are crossing each other.
If simplex algorithm starts from 1 (0,0) and after some iteration reaches to 3, this 3 can be achieved by crossing each pair of the active constraints at that point. That means we will have possibility to get this point. Each two line will bring different slack variables with value zero into basis. But keep the same objective value.
Degeneracy is not ...
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