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Q95Section II (Mathematics)95 of 190

Building the Lagrangian with squared slack variables for inequality constraints

Consider the non-linear programming problem: Max Z=10x1−x22Z=10x_1-x_2^2 subject to the constraints: x1+x2≤14x_1+x_2\le14, −x1+x2≤6-x_1+x_2\le6 and x1,x2≥0x_1,x_2\ge0. Then the Lagrangian function is:

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