Chapter 4.1, Problem 21E

Pivot the simplex tableau

$\begin{array}{l}xyuvM\\ \left[\begin{array}{ccccc}2& 3& 1& 0& 0\\ 1& 1& 0& 1& 0\\ -10& -20& 0& 0& 1\end{array}|\begin{array}{c}12\\ 10\\ 0\end{array}\right]\end{array}$

about each indicated element, and compute the particular solution corresponding to the new tableau.

(a) 2

(b) 3

(c) 1 (second row, first column)

(d) 1 (second row, second column)

(e) Determine which of the pivot operations increases M the most.