Use the simplex method to solve the following linear programme. maximise 7x1 + 8x2 - 2x3. subject to 7x₁ + 4x2 + 2x3 ≤ 68, 6x1 + 4x2 - 2x3 < 36, X1 ≥ 0, x₂ > 0, X3 ≥ 0.

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