Solve.
-Find two numbers whose sum is 120 and whose product is as large as possible. [Hint: Let $x$ and $120 - x$ be the two numbers. Their product can be described by the function $f ( x ) = x ( 120 - x )$.]
A) 60 and 180
B) $\frac { 1 } { 60 }$ and $\frac { 13 } { 60 }$
C) 59 and 61
D) 60 and 60

Question

Quizplus · Accepted Answer

The product $f(x) = x(120 - x)$ is maximized when $x = 60$, making the two numbers equal (60 and 60), as this follows from the principle that for a given sum, the product of two numbers is maximized when the numbers are equal.

Solve -Find Two Numbers Whose Sum Is 120 and Whose xxx

Solve
-Find Two Numbers Whose Sum Is 120 and Whose $x$