Consider the following set of constraints: x1+ 2x; + 2x; + 4x4 5 40 2x1- x2+ x3+2x458 4x1-2x2+ x3- x4510 x1,x2,x3, x4 2 0 Solve the problem for each...

Hey there! I need help with this optimization LP problem (attached image), using the "standard" simplex method of iterative tableaus.

I've already checked my work with Solver and TORA (answer is: ( 0 6 0 7 ) --> Z=41), but am not able to figure out where I've gone wrong when doing it by hand, as I have a completely different answer with a negative slack variable left-over... I know, that's a huge red flag, and retracing my steps I still can't get the right answer.

I'm very stuck right now and would very much appreciate any help with the tableau iterations. Thanks!

. Consider the following set of constraints:x1+ 2x; + 2x; + 4x4 5 402x1- x2+ x3+2x4584x1-2x2+ x3- x4510x1,x2,x3, x4 2 0 Solve the problem for each of the following objective functions.(a) Maximize: = 2x, + x7 - 3x; + 5x4.