Chapter 8.5, Problem 120E

(a)

To determine

To graph: The sketch of the solution set of the system $\{\begin{array}{c}x+y\ge 6\\ x\le 8\\ y\ge 5\end{array}$.

(b)

To determine

Points that form the corners of the graphed region in the graph which is:

(c)

To determine

To calculate: The value of $3x+2y$ at the corner points $\left(1,5\right),\left(8,-2\right)$, and $\left(8,5\right)$.