Solve the Following Problem Graphically $\operatorname { Max } \quad\quad\quad 5 \mathrm { X } + 6 \mathrm { Y }$

Essay

Solve the following problem graphically. $\operatorname { Max } \quad\quad\quad 5 \mathrm { X } + 6 \mathrm { Y }$
s.t. $\quad\quad\quad17 \mathrm { X } + 8 \mathrm { Y } \leq 136$
$\quad\quad\quad\quad3 \mathrm { X } + 4 \mathrm { Y } \leq 36$
$\quad\quad\quad\mathrm { X } , \mathrm { Y } \geq 0$ and integer
a.Graph the constraints for this problem.Indicate all feasible solutions.
b.Find the optimal solution to the LP Relaxation.Round down to find a feasible integer solution.Is this solution optimal?
c.Find the optimal solution.