Consider the following linear programming problem max z$=40$x$1+50$x$2$ s$.$t$.$x$1+2$x$2<=40$ x$1+$ x$2<=302$x$1+$ x$2<=40$ x$1,$x$2>=0$ An optimal tableau for this LP is shown in the following table. z x$1$ x$2$ s$1$ s$2$ s$3$ rhs $1002001012000012/30-1/340/3000-1/31-1/310/3010-1/302/340/3$ Find the range of values of c$1($coefficient of x$1$ in objective function$)$ for which the current basis remains optimal.