Answer
a. See graph
b. $(0,0),(2,0),(0,7),(4,3)$
c. $ 0$, $ 4$, $ 35$, $ 23$.
Work Step by Step
a. See graph; the solution region is a pentagon shaped region in the first quadrant.
b. The corners can be identified as $(0,0),(2,0),(0,7),(4,3)$
c. The value of $2x+5y$ at each corner can be found as $2(0)+5(0)=0$, $2(2)+5(0)=4$, $2(0)+5(7)=35$, $2(4)+5(3)=23$.
