maximize z $=30$x$1+20$x$2+50$x$3$

$2$x$1+3$x$2+5$x$3<=4000($Availability of Raw Material A$)$

$4$x$1+2$x$2+7$x$3<=6000($Availability of Raw Material B$)$

x$1+0\mathrm{.}5$x$2+0\mathrm{.}33$x$3<=1500($Labour Time Per Unit$)$

$2$x$1-3$x$2=0$

$5$x$2-2$x$3=0$

x$1>=200,$ x$2>=200,$ x$3>=150$

x$1,$ x$2,$ x$3>=0$