1.

(a) Solve by Simplex methodMax z = x1 + 4x2 + 5x3, subject to the constraints3x1 + 6x2 + 3x3 ≤ 22, x1 + 2x2 + 3x3 ≤ 14, 3x1 + 2x2 ≤ 14, x1, x2, x3 ≥ 0

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