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Use Lagrange multipliers to find the maximum and minimum values of f (if they exist) subject to the given constraint. f(x.y.z) = 4x +

Use Lagrange multipliers to find the maximum and minimum values of f (if they exist) subject to the given constraint. f(x.y.z) = 4x + z subject to 2x + 3y? +3z2 = 50 If there is a maximum value, what is it? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value is B. There is no maximum value. The minimum value is (Simplify your answer.)

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