The optimal solution of this linear programming problem is at the intersection of constraints $2$ and $3.$

Max $3$x$1+4$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 slope of the objective vary for which the current solution remains optimal?

The optimal solution of this linear programming problem is at the intersection of constraints $2$ and $3.$

Max $3$x$1+4$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 slope of the objective vary for which the current solution remains optimal?

$2$ and $5\mathrm{.}33$

$4/3$ and $1/2$

$0\mathrm{.}67$ and $4$

$-4/3$ and $-1/2$