Chapter 6.4, Problem 30E

Problems 25-32 are mixed. Some can be solved by the methods presented in Sections 6.2 and 6.3 while others must be solved by the big $M$ method.

$\begin{array}{l}\text{Maximize }P=8x_1+2x_2-10x_3\\ \text{subject to }{x}_1+x_2-3x_3\le 6\\ \text{ 4}{x}_1-x_2+2x_3\le -7\\ x_1,x_2,x_3\ge 0\end{array}$