Chapter 7.7, Problem 1E

(a)

To determine

To calculate: The problem $z=-5x_1+4x_2-2x_3$ in terms of equation by using slack variable and surplus variable subjected to,

$\begin{array}{c}-2x_2+5x_3\ge 8\\ 4x_1-x_2+3x_3\le 12\end{array}$

and $x_1\ge 0,x_2\ge 0,x_3\ge 0$.

(b)

To determine

To calculate: The initial simplex tableau for equation $z=-5x_1+4x_2-2x_3$ subjected to

$\begin{array}{c}-2x_2+5x_3\ge 8\\ 4x_1-x_2+3x_3\le 12\end{array}$

and $x_1\ge 0,x_2\ge 0,x_3\ge 0$