$5-$ Solve the following problem graphically and provide the optimal solution and objective function value $($please show

the feasible region and optimal solution clearly on the graph$).$

Max. $Y=-0\mathrm{.}1x1+0\mathrm{.}5x2$

$2x1+5x280$

$x1+x220$

$-0\mathrm{.}1x1+0\mathrm{.}5x2=>6$

$x1,x2=>0$