Perform Sensitivity Analysis on this LP Problem

and This is the optimum solution

1) What is the range of the changes in product C's profit, that makes the above optimal solution won't change

2) If we want to produce product B (X2), what is the requirement for product B's profit?

3) What happened if product A cannot be produced more than 40?

A B C D 5 3 6 1 1 Constraint 4 450 2 120 2 300 Worker Equipment Material Profit 2 3 4 5 30 10 40 20 Iteration-4 C; 30 10 40 20 0 0 0 B CB XB *1 X2 X4 Si S2 S3 MinRatio X4 20 7.5 0 -0.5 0 1 0.05 0.75 -0.35 X3 40 30 0 1 1 0 -0.2 0 0.4 X1 30 45 1 0 0 0 0.3 -0.5 -0.1 Z= 2700 = 30 30 40 20 2 0 6 Z; Z - C; 0 20 0 0 2 0 6 Since all Z;-C;20 Hence, optimal solution is arrived with value of variables as : x1 = 45, x2 = 0, x3 = 30, X 4 = 7.5 = = Max Z = 2700