Homework Help: Calculus

Posted by Raj on Sunday, December 31, 2006 at 6:04pm.

Find the sum of two numbers whose sum is 70 and whose product is as large as possible.

Ok i got that one equation is y = 70 - x...but how do I show an equation for a product which is as large as possible.

The product is P = x (70 - x), where x is one of the two numbers.
Set dP/dx = 0 and solve for x.

dP/dx = 0 = 70 - 2x
Solve for x. 70-x will be the other number.

Thanks, got it :D

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