Consider the following all$-$integer linear program.

Max $1$x$1+1$x$2$

s$.$t$.$

$4$x$1+6$x$2<=26$

$1$x$1+7$x$2<=28$

$2$x$1+1$x$2<=11$

x$1,$ x$2>=0$ and integer Solve the LP Relaxation.

Find the optimal integer solution.of this problem.