Solve the problem.
-What is the maximum product of two positive numbers whose sum is $32 ?$
A) 512
B) 256
C) 8
D) 16

Name: Solve the problem. -What is the maximum product of two positive numbers whose sum is $32 ?$ A) 512 B) 256 C) 8 D) 16
Brand: Quizplus
Rating: 4.8 (34 reviews)

Question

Quizplus · Accepted Answer

Let the two positive numbers be $x$ and $32-x$. Then, we want to maximize $x(32-x)$. This is a quadratic function that is symmetric about $x=16$. Therefore, the maximum value will occur when $x=16$, which gives us a maximum product of $16(32-16)=256$.

Solve the Problem 32?32 ?32? A) 512 B) 256 C) 8 D) 16

Solve the Problem $32 ?$ A) 512
B) 256
C) 8
D) 16