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Use Lagrange multipliers to find the maximum and minimum values of f(x. y.z) = x - 12y + 1422 subject to the constraint 2+ +?=1.

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Use Lagrange multipliers to find the maximum and minimum values of f(x. y.z) = x - 12y + 1422 subject to the constraint 2+ +?=1. If such values exist. Enter the exact answers. If there is no global maximum or global minimum, enter NA in the appropriate answer area. Maximum = Minimum =

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