Posted by **:)** on Sunday, May 20, 2012 at 12:53pm.

Find two positive numbers whose product is 100 and whose sum is a minimum.

- calculus -
**bobpursley**, Sunday, May 20, 2012 at 12:54pm
S=a+b

but a= 100/b

S=100/b + b

dS/db=0=-100/b^2 +1

solve for b, then go back and solve for a.

- calculus -
**:)**, Sunday, May 20, 2012 at 1:05pm
i hope i got it right. The two numbers are 10 and 10?

- calculus -
**Steve**, Sunday, May 20, 2012 at 1:32pm
Exactly right. It's just the same as finding a rectangle of maximum area for a given perimeter. It's always a square.

- calculus -
**:)**, Sunday, May 20, 2012 at 7:44pm
thanks guys!

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