Pivot once as indicated in the given simplex tableau. Read the solution from the result. Pivot around the highlighted entry. X1 X2 X3 S1 S2 Z 1 4 3 1 0 56 -1 -3 -2 0 1 0 2 2 1 0 0 18 X1 X2 X3 S1 S2 Z 0 1 0 0 0 0 0 1 0 0 (Simplify your answers.) Read the solution from the result. X1 = X2 = X3 = S1 = S2 = Z = (Simplify your answers.)
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Step 1
We perform the pivot operation. Divide the pivot row by 2: $\begin{bmatrix} -1 & 2 & 1 & 0 & 0 & 56 \\ -3 & -2 & 1 & 0 & 1 & 18 \end{bmatrix} \rightarrow \begin{bmatrix} -1/2 & 1 & 1/2 & 0 & 0 & 28 \\ -3 & -2 & 1 & 0 & 1 & 18 \end{bmatrix}$ Add 2 times the new Show more…
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Pivot once as indicated in each simplex tableau. Read the solution from the result. $$ \left[\begin{array}{rrrrr|r}{x_{1}} & {x_{2}} & {x_{3}} & {s_{1}} & {s_{2}} & {z} \\ {2} & {3} & {4} & {1} & {0} & {0} & {18} \\ {6} & {3} & {2} & {0} & {1} & {0} & {15} \\ \hline-1 & {-6} & {-2} & {0} & {0} & {1} & {0}\end{array}\right] $$
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Pivot once as indicated in each simplex tableau. Read the solution from the result. $$ \left[\begin{array}{rrrrrr|r}{x_{1}} & {x_{2}} & {x_{3}} & {s_{1}} & {s_{2}} & {s_{3}} & {z} \\ {2} & {2} & {1} & {1} & {0} & {0} & {0} & {12} \\ {1} & {2} & {3} & {0} & {1} & {0} & {0} & {45} \\ {3} & {1} & {1} & {0} & {0} & {1} & {0} & {20} \\ \hline-2 & {-1} & {-3} & {0} & {0} & {0} & {1} & {0}\end{array}\right] $$
Pivot once as indicated in each simplex tableau. Read the solution from the result. $$ \begin{array}{rrrrrr|r}{x_{1}} & {x_{2}} & {x_{3}} & {s_{1}} & {s_{2}} & {s_{3}} & {z} \\ {4} & {2} & {3} & {1} & {0} & {0} & {0} & {22} \\ {2} & {2} & {5} & {0} & {1} & {0} & {0} & {28} \\ {1} & {3} & {2} & {0} & {0} & {1} & {0} & {45} \\ \hline-3 & {-2} & {-4} & {0} & {0} & {0} & {1} & {0}\end{array} ] $$
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