Chapter 8.6, Problem 5E

(a)

To determine

To graph: The system of linear inequalities representing the objective function $z=3x+2y$ and constraints $\{\begin{array}{l}x\ge 0,y\ge 0\\ 2x+y\le 8\\ x+y\ge 4\end{array}$.

(b)

To determine

To calculate: The value of the objective function $z=3x+2y$ at each corner of graphed region. The graph is prepared in part a.

(c)

To determine

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