Here is a summary of the simplex method for standard linear programming problems.
Step1: Using slack variables, convert the LP problem to a system of linear equations. |
Step 2: Set up the initial tableau. |
Step 3: Select the pivot column.
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Step 4: Select the pivot in the pivot column.
2) For each positive entry b in the pivot column, compute the ratio a/b, where a is the number in the rightmost column in that row. We call this a test ratio. 3) Of these ratios, choose the smallest one. The corresponding number b is the pivot. |
Step 5: Use the pivot to clear the pivot column in the normal manner. This gives the next tableau.
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Step 6: Repeat Steps 3-5 until there are no more negative numbers in the bottom row (with the possible exception of the Answer column).
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