Find the optimal tableau for this Max LP then answer the questions below:

max z $=56$ x$1+25$ x$2+20$ x$3$

s$.$t$.8$x$1+6$x$2+$ x$3<=480$

$4$x$1+2$x$2+1\mathrm{.}5$ x$3<=200$

$2$x$1+1\mathrm{.}5$x$2+\mathrm{.}5$ x$3<=80$

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

The optimal value

equals

The row$0$ entry under x$2$ is

Of course you knew that the standard form has variables s$1,$ s$2,$ s$3$

Which of these si's $($answer $1,2$ or $3)$ is a BV$?$

What is the value of the Basic slack variable in the optimal bfs$?$

Are there alternate optimal solutions? $($Y or N$)$