Solve.
-Find two numbers whose sum is 56 and whose product is as large as possible. [Hint: Let $x$ and $56 - x$ be the two numbers. Their product can be described by the function $f ( x ) = x ( 56 - x )$.]
A) 28 and 84
B) $\frac { 1 } { 28 }$ and $\frac { 13 } { 28 }$
C) 28 and 28
D) 27 and 29

Question

Quizplus · Accepted Answer

The product $f(x) = x(56 - x)$ is maximized when $x = 28$, making the two numbers equal (28 and 28), as this follows the principle of the arithmetic mean-geometric mean inequality, where the product of two numbers is maximized when the numbers are equal, given a constant sum.

Solve -Find Two Numbers Whose Sum Is 56 and Whose xxx

Solve
-Find Two Numbers Whose Sum Is 56 and Whose $x$