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**tn11631** For this linear optimization problem, we are supposed to convert the problem into canonical form and then set up a tabelau tableau (spelling!) and solve using the simplex method. I am able to set it up in the tabelau but then through my calculations i am getting no where (i.e. I end up with a negative number on the far right hand side or two negatives) I'm not sure if this is supposed/easier on the computer but I just can't seem to get these numbers right. If someone can show the process or (since it is a lot of work) the final product and how many iterations it took to get there so i can attempt to get there as well. Thanks

Maximize $\displaystyle z=-x_1+3x_2+x_3$ subject to:

$\displaystyle -x_1+2x_2-7x_3\leqslant 6$

$\displaystyle x_1+x_2-3x_3\leqslant 15 $

$\displaystyle x_1,\ x_2,\ x_3\geqslant 0$