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Illustration of Analytical Verification of Blocking. Simplex Iteration: O A, S 1 = 6 – 2x 2 , S 2 = 4 – 4x 2 , Suppose the move from O to A has a step of 1/3 (actual step ≈ 0), At O(0,0), x 1 = 0, x 2 = 0 S 1 = 6 – 2×0 = 6 , S 2 = 4 – 4×0 = 0.
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Illustration of Analytical Verification of Blocking Simplex Iteration: O A, S1= 6 – 2x2 , S2= 4 – 4x2 , Suppose the move from O to A has a step of 1/3 (actual step ≈ 0), At O(0,0), x1 = 0, x2 = 0 S1= 6 – 2×0 = 6 , S2= 4 – 4×0 = 0 Increase x2 , move to (0, 1/3) S1= 6 – 2×1/3 = 16/3 , S2= 4 – 4×1/3 = 8/3 Increase x2 , move to (0, 2/3) S1= 6 – 2×2/3 = 14/3 , S2= 4 – 4×2/3 = 4/3 Increase x2 , move to A(0, 1) S1= 6 – 2 = 4 , S2= 4 – 4 = 0