Use the graphical method to obtain the optimal solution. Indicate the constraints, the feasible region, and the optimal solution on your graph. (Draw the graph by hand)

3. Consider the following linear programming problem.

Minimize 3 x1 + x2
Subject to 5 x1 – 4 x2 ≤ 14
x1 – 4 x2 ≤ –2
2 x1 + x2 ≥ 5
6 x1 – x2 ≥ 3
4 x1 + 9 x2 ≤ 60
x1 , x2 ≥ 0

(a) Use the graphical method to obtain the optimal solution. Indicate the constraints, the feasible region, and the optimal solution on your graph. (Draw the graph by hand).