Ask a New Question

Question

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

Answers

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.
13 years ago
:)
i hope i got it right. The two numbers are 10 and 10?
13 years ago
Steve
Exactly right. It's just the same as finding a rectangle of maximum area for a given perimeter. It's always a square.
13 years ago
:)
thanks guys!
13 years ago

Related Questions

Find two positive numbers whose sum is 50 such that the sum of their squares is minimum? Find two positive numbers that satisfy the given requirements. The product is 147 and the sum of... Find two positive numbers whose sum is 15 such that the product of the first and the square of the s... Find two positive numbers whose sum is 8 such hat when the cube of th first number is multiplied by... Find two positive numbers such that the sum of the first and twice the second is 100 and their produ... Find two positive numbers whose difference is 12 and whose A.M. exceeds the G.M. by 2. Find three positive numbers whose sum is 231 and whose product is a maximum. Find two positive numbers whose product is 81 and whose sum is a minimum. (If both values are the sa... Find two positive numbers whose difference is 8 and whose product is 425 .
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use