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Q37Section II (Mathematics)37 of 190

An equality constraint pins x1x_1, forcing two remaining constraints into direct contradiction

Consider the following LP problem: Max. Z=x1+x2/2Z=x_1+x_2/2 subject to the constraints: 3x1+2x2≤12,5x1=10,x1+x2≥8, −x1+x2≥43x_1+2x_2\le12, 5x_1=10, x_1+x_2\ge8,\ -x_1+x_2\ge4 and x1,x2≥0x_1,x_2\ge0. Then the LP problem has:

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