Consider the following linear program: maximise 6 x 1 + x 2 + 2 x 3 subject to 3 x 1 + 3 x 2 + 2 x 3 ≤ 9 , x 1 + 2 x 2 + x 3 ≤ 4 , x 1 , x 2 , x 3 ≥ 0 Show that x 1 = 3, x 2 = 0, x 3 = 0 is an optimal solution of this linear prog

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