2. Given positive numbers 1'1,\" . , In, prove that the geometric mean ($1332 . . . :rn is no greater than the 331 + - - - + Eln n arithmetic mean in the following cases. (a) Find the maximum value of myz, subject to :r, + y + z = k where k: is a real number and :L' > 0, y > U, and z > 0. Use the result to prove that (myz