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Find the maximum and minimum values of the function f (x,y, z) = x + 2y subject to the constraints y^2 + z^2 = 144 and x + y + z = 4

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Find the maximum and minimum values of the function f (x,y, z) = x + 2y subject to the constraints y^2 + z^2 = 144 and x + y + z = 4. Maximum value is ____, occurring at (____, ____, ____). Minimum value is ____, occurring at (____, ____, ____).