SOLUTION: The sum of two numbers is 24.Find the two numbers if their product is to be a maximum.

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Question 495198: The sum of two numbers is 24.Find the two numbers if their product is to be a maximum.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If a and b are the numbers with a+b = 24, AM-GM inequality states that





Equality occurs when a = b = 12, so the numbers are 12 and 12.

Note that we could do it using calculus or finding the vertex of a quadratic equation, but this solution is a little more slick.