Find two positive numbers whose sum is 50 and....

[startingover]

Find two positive numbers whose sum is 50 and whose product is as large as possible.

f(x) = x + y = 50

I thought this would be a matter of solving for one variable and substitution. I would think that x and y are both equal to 25, I'm just not sure how to set this up.

x + y = 50
y = 50 - x

x + (50 - x)...I know that's NOT right.

 

[tkhunny]

Re: Word Problem

product

x + y = 50

f(x,y) = x*y

y = 50 - x

f(x) = x*(50-x)