Chapter 8.6, Problem 9E

(a)

To determine

To graph: The system of linear inequalities representing constraints $\{\begin{array}{l}1\le x\le 5\\ y\ge 2\\ x-y\ge -3\end{array}$.

(b)

To determine

To calculate: The value of the objective function $z=3x-2y$ at each corner of graphed region.

(c)

To determine

To calculate: The maximum value of the objective function $z=3x-2y$ and also determine the values of x and y for which maximum occurs.