(i) Maximize subject to the constraint x 1 2 +x 2 2 + ..... x n 2 = 1.
(ii) Use part (i) to prove the well-known Arithmetic-Geometric Inequality :

For any positive real numbers y1 , y2 , ....... yn ,

Question

(i)	Maximize   subject to the constraint   x 1 2 +x 2 2 + .....  x n 2 = 1.    
(ii)	Use part (i) to prove the well-known Arithmetic-Geometric Inequality :

For any positive real numbers  y1 , y2  , .......  yn ,

Quizplus · Accepted Answer

The Answer of (i)	Maximize   subject to the constraint   x 1 2 +x 2 2 + .....  x n 2 = 1.    
(ii)	Use part (i) to prove the well-known Arithmetic-Geometric Inequality :

For any positive real numbers  y1 , y2  , .......  yn ,

(I) Maximize Subject to the Constraint X12

(I) Maximize Subject to the Constraint X₁²