Consider the following LPP$,$ which is being solved by the dual simplex method.

Marcimize $=-$x$1+$ x$2$

subject to

x$1-4$x$2>=5$

x$1-3$x$2<=1$

$2$x$1-5$x$2>=1$

X$1,$ x$2>=0$

Note: Answer based on the rules for entering and leaving variables of the dual simplex method.

Which of the following is true for the given problem? Select all that apply.

$$ The optimal value of the objective function is $-5.$

$$ The entering variable for the first iteration is x$1.$

$$ There is no feasible solution for the given LPP$.$

$$ The optimum solution is obtained at x$1=5,$ x$2=0.$