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Minimize Z $=8$X$1+6$X$2$

Subject to

$2$X$1+4$X$2>=8$

$3$X$1+2$X$2>=6$

X$1,$ X$2>=0$

Solve the above problem with the simplex method. Provide the value of the basic variables $($BV$)$ at tableau #$3$ and the optimal solution of the LP$.$

Notes:

Set M $=100.$

Tableau #$1$ is the initial tableau where an inconsistency exists on row z$.$

Tableau #$2$ is the tableau where the inconsistency on row z is fixed.

Select one:

BV: X$1=1,$ A$2=2/3|$ Optimal sol: X$1=1/2,$ X$2=1/2,$ Z$=7$

BV: A$1=8,$ A$2=6|$ Optimal sol: X$1=1,$ X$2=3/2,$ Z$=17$

BV: X$2=7,$ A$1=5|$ Optimal sol: X$1=1/2,$ X$2=1,$ Z$=10$

BV: X$2=2,$ A$2=2|$ Optimal sol: X$1=1,$ X$2=3/2,$ Z$=17$

None of the options provided