Show the solution zone of the following inequalities on a graph paper.

5 X + y ≥ 10;

X + y ≥ 6 X + 4 y ≥ 12;

X ≥ 0, y ≥ 0 Find X and y for which 3 X + 2 y is minimum, subject to these inequalities.

Use the graphical method.