Question: Let w = x1x2 ( ( ( +xn. (a) Maximize w subject to x1 + x2 + ( ( ( + xn = 1 and

Let w = x1x2 ( ( ( +xn.
(a) Maximize w subject to x1 + x2 + ( ( ( + xn = 1 and all xi > 0.
(b) Use part (a) to deduce the famous Geometric Mean Arithmetic Mean Inequality for positive numbers a1, a2, ( ( ( ( an: that is,

+ az + a Vajaz- a, = + an %3B

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