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Maximize the function x + y – z = 1 with respect to the constraint xy=36.

Maximize the function x + y – z = 1 with respect to the constraint xy=36. Correct Answer No Maxima exists

Geometrically, we can see that the level curves can go further the origin along the curve xy=36 infinitely and still not reach its maximum value. What the Lagrange multiplier predicts in this case is the minimum value.

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