The optimal solution of this linear programming problem is at the intersection of constraints $1$ and $2.$

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

s$.$t$.4$x$1+1$x$2<=400$

$4$x$1+3$x$2<=600$

$1$x$1+2$x$2<=300$

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

Over what range can the coefficient of x$1$ in the objective vary for which the current solution remains optimal?

The optimal solution of this linear programming problem is at the intersection of constraints $1$ and $2.$

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

s$.$t$.4$x$1+1$x$2<=400$

$4$x$1+3$x$2<=600$

$1$x$1+2$x$2<=300$

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

Over what range can the coefficient of x$1$ in the objective vary for which the current solution remains optimal?

$0$ and $4$

$0$ and $4/3$

$4/3$ and $4\mathrm{.}00$

$-4\mathrm{.}0$ and $-4/3$