Question: please solve these questions DUALITY ANALYSIS (20 points) 1. Maximize z = 7x1 + 12x2 + 4x3 Subject to X1 + 2x2 + x3 =

please solve these questions DUALITY ANALYSIS (20

please solve these questions

DUALITY ANALYSIS (20 points) 1. Maximize z = 7x1 + 12x2 + 4x3 Subject to X1 + 2x2 + x3 = 10 2x1 - x2 + 3x3 S8 X1, X2, X3 > 0 For the above problem, (a) Convert it into its dual (5 points). [2/5 -1/51 (b) Given B- [1/5 2/5 and Xp=[X2 Xu]", calculate the whole optimal tableau (10 points) (c) Calculate the values of the dual variable as well as the optimal value of the dual. (5points)

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