Solve the LP Relaxation of this problem.

The optimal solution to the LP Relaxation is x$1=$ fill in the blank $2$

$,$ x$2=$ fill in the blank $3$

$.$ Its value is fill in the blank $4$

$.$

Find the optimal integer solution.

The optimal solution to the LP Relaxation is x$1=$ fill in the blank $5$

$,$ x$2=$ fill in the blank $6$

$.$ Its value is fill in the blank $7$

$.$