SOLUTION: the sum of two numbers is 28. find the two numbers if their product is to be a maximum. What is the maximum product?

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Question 1127189: the sum of two numbers is 28. find the two numbers if their product is to be a maximum. What is the maximum product?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
The numbers are x and 28-x.
Let y = x*(28-x) = 28x - x^2
dy/dx = 28-2x —> set to 0: 28-2x=0 —> x=14 at the maximum

The numbers are highlight%2814%29+ and +highlight%2814%29+

14%2A14+=+highlight%28+196+%29+