$4\mathrm{.}4-6.$ Consider the following problem.

Maximize subject to

Z $3$x$15$x$26$x$3,$

$2$x$1$ x$2$ x$34$ x$12$x$2$ x$34$ x$1$ x$22$x$34$ x$1$ x$2$ x$33$

and

x$10,$ x$20,$

x$30.$

D$,$I $($a$)$ Work through the simplex method step by step in algebraic form.

D$,$I $($b$)$ Work through the simplex method in tabular form.