Minimum cost $=50x_1+10x_2+75x_3$

subject to

$x_1-x_2=1,000$

$2x_2+2x_3=2,000$

$x_{1}1,500$

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:

$x_1=1000,x_3=2000,s_1=0$

$x_3=1000,x_1=2150,x_2=1500$

None of the options provided

$A1=1000,A2=2000,s1=1500$

$x1=1000,x3=1000,s1=500$