Minimize Z = 5X1 + 4X2

subject to

X1 + X2 ≥ 60

X1 ≥ 30

X2 ≤40

X1, X2 ≥ 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.
Set s3 as the slack variable for constraint 3.
Select one:

BV: A2=150, A1=150, x1=150 | Optimal sol: X1 = 50, X2= 20, Z = 80


BV: A1=30, x1=30, s3=40 | Optimal sol: X1 = 30, X2= 30, Z = 270


None of the options provided


BV: s1=2000, A1= 300, A2=100 | Optimal sol: X1 = 50, X2= 20, Z = 80


BV: A1=60, A2=30, s3=40 | Optimal sol: X1 = 30, X2= 30, Z = 270