Write the dual for each of the following primal problems: (a) Maximize z = 66x1 - 22x2

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Write the dual for each of the following primal problems:

(a) Maximize z = 66x1 - 22x2 subject to

-x1 + x2 … -2 2x1 + 3x2 … 5 x1, x2 Ú 0

(b) Minimize z = 6x1 + 3x2 subject to 6x1 - 3x2 + x3 Ú 25 3x1 + 4x2 + x3 Ú 55 x1, x2, x3 Ú 0

(c) Maximize z = x1 + x2 subject to 2x1 + x2 = 5 3x1 - x2 = 6 x1, x2 unrestricted

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