Find the critical points for the function f(x, y) = 128xy - (x+y)" and classify each as a local maximum, local minimum, saddle point, or none of these. critical points: (give your points as a comma separated list of (x,y) coordinates.) classifications: (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or inconclusive for each, in the same order as you. entered your critical points)

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A: Please see the below picture for detailed solution.

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