6 Consider the following LP and its optimal tableau

(Table 55):

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. If b2 12, what is the new optimal solution?

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s.t. x2-x3 max z = 3x1 + x 2x1 + x2 + x3 8 4x1 + x2 x3 10 | X1, X2, X30