Hi this is the problem i'm having trouble with.

Find two numbers whose difference is 100 and whose product is minimum.

I don't even know where to start on this one. Thanks guys.

Printable View

- November 30th 2008, 07:03 PMAftermeOptimization Problem
Hi this is the problem i'm having trouble with.

Find two numbers whose difference is 100 and whose product is minimum.

I don't even know where to start on this one. Thanks guys. - November 30th 2008, 08:20 PMSteve_JOptimization Problem
It seems like you'll need two numbers that differ by 100, which we'll call X and X-100. You want the minimum product of these two numbers, which means you'll want the derivative of the function X * (X - 100).

NOte that X * (X - 100) = X^2 - 100X, which is easier to differentiate. It results in a derivative of 2X - 100.

To find the mminimum, set this equation equal to 0, and you'll get

2X - 100 = 0 ===> X = 50. So your two numbers would be 50 and -50, with a minimum product of 50 * -50 = -2,500.

- Steve J