Pivot once as indicated in the given simplex tableau. Read the solution from the result. x1 x2 x3 s1 s2 s3 z [ 2 4 3 1 0 0 0 | 700 ] [ 4 1 1 0 1 0 0 | 500 ] [ 7 4 4 0 0 1 0 | 800 ] ----------------------- [ -3 -4 -2 0 0 0 1 | 0 ] Pivot around the highlighted entry. x1 x2 x3 s1 s2 s3 z [ _ 4 _ _ 0 _ 0 | _ ] [ _ 0 _ _ 1 _ 0 | _ ] [ _ 0 _ _ 0 _ 0 | _ ] ----------------------- [ _ 0 _ _ 0 _ 1 | _ ] (Simplify your answers.)
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The pivot column is the one with the most negative value in the bottom row, which is the X2 column. The pivot row is the one with the smallest non-negative ratio of the last column to the pivot column, which is the first row. Show moreβ¦
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Pivot once as indicated in the given simplex tableau. Read the solution from the result. Pivot around the highlighted entry. (Simplify your answers.) Read the solution from the result. x1 = x2 = x3 = s1 = s2 = z = (Simplify your answers.)
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Pivot once as indicated in each simplex tableau. Read the solution from the result. $$ \left[\begin{array}{rrrrrr|r}{x_{1}} & {x_{2}} & {x_{3}} & {s_{1}} & {s_{2}} & {s_{3}} & {z} \\ {2} & {2} & {3} & {1} & {0} & {0} & {0} & {500} \\ {4} & {1} & {1} & {0} & {1} & {0} & {0} & {300} \\ {7} & {2} & {4} & {0} & {0} & {1} & {0} & {700} \\ \hline-3 & {-4} & {-2} & {0} & {0} & {0} & {1} & {0}\end{array}\right] $$
Linear Programming:The Simplex Method
Slack Variables and the Pivot
Pivot once as indicated in each simplex tableau. Read the solution from the result. $$ \begin{array}{rrrrrrr|r}{x_{1}} & {x_{2}} & {x_{3}} & {x_{4}} & {s_{1}} & {s_{2}} & {s_{3}} & {z} \\ {1} & {2} & {3} & {1} & {1} & {0} & {0} & {0} & {115} \\ {2} & {1} & {8} & {5} & {0} & {1} & {0} & {0} & {200} \\ {1} & {0} & {1} & {0} & {0} & {0} & {1} & {0} & {50} \\ \hline-2 & {-1} & {-1} & {-1} & {0} & {0} & {0} & {1} & {0}\end{array} ] $$
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