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Use the Lagrange multiplier method to identify the stationary point(s) of the function ?(?, ?, ?)=10?...

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Advance Math

Use the Lagrange multiplier method to identify the stationarypoint(s) of the function ?(?, ?, ?)=10? + 5? + ? + 2?^2 + 4?? + ?^2+ 2?? - ?^2 - ??, subject to the constraint 5? + 3? + ? = 27.Subsequently determine the nature of the stationary point(s) usingthe bordered Hessian matrix.

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