Posted by :) on .
Find two positive numbers whose product is 100 and whose sum is a minimum.

calculus 
bobpursley,
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 
:),
i hope i got it right. The two numbers are 10 and 10?

calculus 
Steve,
Exactly right. It's just the same as finding a rectangle of maximum area for a given perimeter. It's always a square.

calculus 
:),
thanks guys!