Solve the Following Problem Graphically AGraph the Constraints for This Problem

Essay

Solve the following problem graphically.
​
$$\begin{array} { l l } \text { Min } & 6 X + 11 Y \\\text { s.t. } & 9 X + 3 Y \geq 27 \\& 7 X + 6 Y \geq 42 \\& 4 X + 8 Y \geq 32 \\& X , Y \geq 0 \text { and integer }\end{array}$$
a.Graph the constraints for this problem.Indicate all feasible solutions.
b.Find the optimal solution to the LP Relaxation.Round up to find a feasible integer solution.Is this solution optimal?
c.Find the optimal solution.