Chapter 6.4, Problem 27E

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.

$\begin{array}{l}\text{Maximize }P=-5x_1+10x_2+15x_3\\ \text{subject to }2x_1+3x_2+x_3\le 24\\ x_1-2x_2-2x_3\ge 1\\ x_1,x_2,x_3\ge 0\end{array}$