Consider the following LP and its optimal tableau: max z = 3x1 + 2x2s.t. 2x1 + 5x2 ≤ 8 3x1 + 7x2 ≤ 10 x1, x2 ≥ 0 a) Find the dual of this LP and its optimal solution. b) Find the range of values of b2...

Consider the following LP and its optimal tableau:

 max z = 3x1 + 2x2
s.t. 2x1 + 5x2
≤
8
 3x1 + 7x2
≤
10
 x1, x2 ≥ 0

 a) Find the dual of this LP and its optimal solution.

 b) Find the range of values of b2 for which the current basis remains optimal. Also find the new optimal solution if b2 = 5.