3. As follows: 6 Consider the following LP and its optimal tableau (Table 55): max z 3x1 + x2 X3 wwww. S.t. 2x1+ x2 + x3 s 8 4x1 + x2 xr; 10 X1, X2, X3 0 TABLE 55 X2 S2 rhs 1 6. 0. 1 3 -1 6. 1 0. 1. 1. www. 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 op- timal solution? a

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