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Minimum cost $=50$X$1+10$X$2+75$X$3$

subject to

X$1$ X$2=1,000$

$2$X$2+2$X$3=2,000$

X$1<=1,500$

Solve the problem by the simplex method. Provide only the value of the basic variables at tableau #$3.$

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:

X$1=1000,$ X$3=2000,$ s$1=0$

X$3=1000,$ X$1=2150,$ X$2=1500$

X$1=1000,$ X$3=1000,$ s$1=500$

A$1=1000,$ A$2=2000,$ s$1=1500$

None of the options provided