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Unexpected result from Wolfram|Alpha in optimization with constraints

Posted 5 months ago
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https://www.wolframalpha.com/input/?i=local+minima+4x%2B4y+%2C+x%5E2%2By%5E2+%3D+680++%2C+x%3E%3D+3+%2C+y+%3E%3D+3

I'm not familiar with extrema of a function more than 1 variable, but I guess concept of Local/Global max/min will be the same

Clearly, f(x,y) = (18.4391, 18.4391) is not the local minimum ( try x =5 , y = 25.593)

Did Wolfram|Alpha give wrong answer or I'm missing something?

Thanks.

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