SOLUTION: How do I translate this into an equation that I can solve? The sum of two numbers is 50. Find the numbers such that their product is a maximum.

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Question 540071: How do I translate this into an equation that I can solve?

The sum of two numbers is 50. Find the numbers such that their product is a maximum.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Let a and 50-a be two numbers (their sum must be 50). You want to maximize the product a(50-a), or -a^2 + 50a. You can use calculus or the vertex of a quadratic to do this.