For the given optimization problem,

$6\mathrm{.}67$ pts

What is the optimal Z value?

minimize Z $=16$x$1$A $+18$X$1+11$X$10$

$+14$X$2$A $+12$X$2$B $+13$X$20$

$+133+15$X$3$B $+17$X$30$

subject to

XIA $+$ X$1$B $+$ X$10<=300$

X$2$A $+$ X$2$B $+$ X$20<=200$

X$3+3+3<=200$

XIA $+$ X$2$A $+$X$3$A $<=150$

$1+2+<=250$

X$10+$X$20+$x$30<=200$

Xij $>=0$

$0.$

$2300$

$5300$

$7300$

$$ None of the above.