Find Two Non-Negative Numbers X and Y Whose Sum Is $\frac { 8 } { 3 } \text { and } \frac { 16 } { 3 }$

Multiple Choice

Find two non-negative numbers x and y whose sum is 8 and are such that the xy² is as large as possible.

A) $\frac { 8 } { 3 } \text { and } \frac { 16 } { 3 }$
B) 8 and 16
C) 4 and 4
D) 1 and 7