Given the following all$-$integer linear program:

Max $3$x$1+2$x$2$

s$.$t$.3$x$1+$ x$2<=9$

x$1+3$x$2<=7$

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

x$1,$ x$2>=0$ and integerRun the model in Excel Solver, this time adding integrality condition as well. $($Make sure all decision variables can only take integer values$)$

What is the optimal solution and its objective value? $($Note: you can double$-$check your answer from the table you filled in the previous part$)$