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Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme

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Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f(x, y, z) = 7x+y-69z; x2+ 2+ 22 = 307904 NOTE: Enter the exact answer. Maximum : at (?, ? , ? ) Minimum : at (?, ? , ? )

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