Question: Help 14 Consider the following LP and its optimal tableau (Table 59): max z = 3x + x s.t. 2x + x =4 3x +

Help 14 Consider the following LP and its optimal

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14 Consider the following LP and its optimal tableau (Table 59): max z = 3x + x s.t. 2x + x =4 3x + 2x 6 4x + 2x = 7 x = 0, x 0 a Find the dual to this LP and its optimal solution. b Find the range of values of the right-hand side of the third constraint for which the current basis remains op- timal. Also find the new optimal solution if the right- hand side of the third constraint were 15 1 2- TABLE 59 X1 X $1 32 a rhs 1 0 0 0 1 M-1 M + 0 0 0 1 0 0 0 0 1 0 -2 2 0 1 0 0 1 -1

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