If we increase b2 from 10 to 20 will the optimal basis change? Consider the following problem Max Z = 2X1 – X2 + X3 s.t. 3X1 + X2 + X3 < 60 X1 – X2 + 2X3 < 10 X1 + X2 - X3 < 20 X1 , X2 , X3 > 0 With final tableau If we increase b2 from 10 to 20 will the optimal basis change? b. If we increase b2 from 10 to 20 what will the new objective function be? c. By how much can b3 change before the optimal basis will change?

d. If we decrease b1 from 60 to 50 and increase b3 from 20 to 25, will the optimal basis change? e. By how much can c2 vary from -1 before the basis will change?