Question: Consider the following problem. Maximize z = 5x + 2x2 + 3x3 subject to x1 + 5x2 + 2x3 = b X1 - 5x2 -

Consider the following problem. Maximize z = 5x +

Consider the following problem. Maximize z = 5x + 2x2 + 3x3 subject to x1 + 5x2 + 2x3 = b X1 - 5x2 - 6x3 = b2 X1, X2, X3 2 0 The following optimal tableau corresponds to specific values of b1 and b2: Basic X2 X3 X5 Solution X1 0 X4 d Z a 7 e 15 X1 1 b 2 1 0 30 X5 0 -8 -1 1 10 a. Write its corresponding dual program. (5pts) b. Calculate the right-hand-side values, bi and b2. (3pts) c. Find its optimal dual solution. (3pts) d. Determine the elements a, b, c, d, and e. (4pts)

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