Question: 2. Consider the following LP and its optimal tableau: max 23x + 4x + x3 X3 + x2 + x3 s 50 2x - 2

2. Consider the following LP and its optimal

2. Consider the following LP and its optimal tableau: max 23x + 4x + x3 X3 + x2 + x3 s 50 2x - 2 + x 15 10 XL, X, X, 20 S.L. z x, x2 23 %, ts acR HS 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 . 0 0 MM + 380 -2 15 0 -2 40 0 1 10 0 1 0 1 A. Find the dual of this LP. B. Find the optimal dual solution. C. If the coefficient of the NBV X, is changed to Cp, find the range of values of c, for which the current basis remains optimal. 2. Consider the following LP and its optimal tableau: max 23x + 4x + x3 X3 + x2 + x3 s 50 2x - 2 + x 15 10 XL, X, X, 20 S.L. z x, x2 23 %, ts acR HS 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 . 0 0 MM + 380 -2 15 0 -2 40 0 1 10 0 1 0 1 A. Find the dual of this LP. B. Find the optimal dual solution. C. If the coefficient of the NBV X, is changed to Cp, find the range of values of c, for which the current basis remains optimal

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