Answer
a. See figure.
b. $(1,5),(8,5),(8,-2)$
c. $ 13$, $ 34$, and $ 20$.
Work Step by Step
a. We can graph the inequalities as shown in the figure.
b. We can identify the corners of the solution region as $(1,5),(8,5),(8,-2)$
c. The value of $3x+2y$ at each of the above points can be found as $3(1)+2(5)=13$, $3(8)+2(5)=34$, and $3(8)+2(-2)=20$.
