Primal

Min Z $=50$x$1+20$x$2,+30$x$3+80$x$4$

Subject to:

$400$x$1+200$x$2,+150$x$3+500$x$4>=500$

$3$x$1+2$x$2>=6$

$2$x$1+2$x$2,+4$x$3+4$x$4>=10$

$2$x$1+4$x$2,+$ x$3+5$x$4>=8$

Xj $>=0($j $=1,2,....4)$

$1)$ What are the results of x$1,$ x$2,$ x$3,$ x$4,$ Z$,$ s$1$ and s$1$ using the program lindo?

$2)$ If the coeficient of $50$x$1$ is changed to $10,$ what will be the result?