Question $5$ to Question $10$ is based on this problem:

Solve the following LP model graphically.

Max: $4$X$1+6$X$2$

Subject to:

$2$X$1+3$X$2<=12$

$3$X$1+1$X$2<=9$

X$1+$ X$2>=2$

X$1+$ X$2<=10$

X$1,$ X$2>=0$

What is the optimal solution?