Solve the following Integer Programming problem using the branch and bound algorithm. Choose x$1$ as branching variable in the first branching. n$=5,$ s$=13.$maxz$=x_1+n{x}_2$

Subject to:

$s{x}_1+x_{2}7$

$-x_1+n{x}_{2}3$

$x_1,x_{2}0$ and integer.