Work through the simplex method step by step $($in tab$-$

ular form$)$ to solve the following problem.

Maximize Z $2$x$1$ x$2$ x$3,$

subject to

$3$x$1$ x$2$ x$36$

x$1$ x$22$x$31$

x$1$ x$2$ x$32$

and

x$10,$ x$20,$ x$30.$