slack variable equations, writing the objective function in standard form, setting up the mimal simplex tableau, circling the first pivot element, and giving the final tableau.

Maximize: $P=-3x-2y-z$

subject $to$: $x+2y+z20$

$,3x+y30$

$,2x+y+z=10$

$,x0,y0,z0$

Initial Tahlean $($with the first nivet circled$).$

Fin

Optimal Solution:

Optimal Value: