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

- Calculus -
**Anonymous**, Tuesday, February 16, 2016 at 11:49pm
1225

## Answer This Question

## Related Questions

- calculus - find 3 positive real numbers whose sum is 500 and whose product is as...
- math - Find: Two numbers whose sum -10 and whose product is 5. ;;; x+y = -10 x...
- Please Help ! Calculus - Find two numbers whose sum is 42 and whose product will...
- calculus - Find two numbers whose product is 16 and whose sum of squares is ...
- calculus - Find two positive numbers whose product is 100 and whose sum is a ...
- Math - Express the number 25 as a sum of two nonnegative numbers whose product ...
- math - Find the two numbers that multiply to the product number and add to the ...
- calculus - find the two numbers whose sum is 10, if the product of one by the ...
- math - Find two numbers (exactly) whose product is 10 and whose sum is 18.
- math - find two numbers whose product is N^2 and whose sum is a minimum

More Related Questions