Chapter 4.2, Problem 2YT

Pivot on the 4 in Example 2 and write the solution.

EXAMPLE 2 Finding the Pivot

Find the pivot for the following initial simplex tableau.

$\begin{array}{l}{x}_1{x}_2{s}_1{s}_2{s}_{3}z\\ \left[\begin{array}{rrrrrrr}\hfill 1& \hfill -2& \hfill 1& \hfill 0& \hfill 0& \hfill 0& \hfill 100\\ \hfill 3& \hfill 4& \hfill 0& \hfill 1& \hfill 0& \hfill 0& \hfill 200\\ \hfill 5& \hfill 0& \hfill 0& \hfill 0& \hfill 1& \hfill 0& \hfill 150\\ \hfill -10& \hfill -25& \hfill 0& \hfill 0& \hfill 0& \hfill 1& \hfill 0\end{array}\right]\begin{array}{l}100/(-2)=-50(negative)\hfill \\ 200/4=50\leftarrow Pivotrow\hfill \\ 150/0(notpossible)\hfill \\ \hfill \end{array}\\ \uparrow \\ Pivotcolumn\end{array}$