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Write down the dual of the LPP given by Maximize 1 2 20x + 30x subject to x 2x 20 1 + 2 ≤ x x 12 1 + 2 ≤ 5x x 40 1 + 2 ≤ x , x 0 1 2 ≥ Solve the primal LPP graphically. Use the optimal solution to primal LPP and complementary slackness condition to identify the dual variable that will have zero value in the optimal solution to the dual.
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