Solve the following problem by using the Graphical Method. Follow these steps:

a$)$ Draw the feasible region.

b$)$ Find the extreme points.

c$)$ Determine the extreme point that corresponds to the optimal solution.

Min $5x_1+2x_2$

$s.t.x_1-2x_{2}3$

$x_{2}7$

$x_1,x_{2}0$