Find two non-negative numbers x and y whose sum is 14 and are such that the xy² is as large as possible. A)7 and 7 B) $\frac { 14 } { 3 }$ and $\frac { 28 } { 3 }$ C)1 and 13 D)14 and 28

Question

Quizplus · Accepted Answer

To maximize $xy^2$ given $x + y = 14$, use calculus or AM-GM inequality. Setting $x = \frac{14}{3}$ and $y = \frac{28}{3}$ gives the maximum product.

Find Two Non-Negative Numbers X and Y Whose Sum Is 143\frac { 14 } { 3 }314​

Find Two Non-Negative Numbers X and Y Whose Sum Is $\frac { 14 } { 3 }$