- #1
noelo2014
- 45
- 0
Homework Statement
Find the maximum value of the function f(x, y) = x + y subject to the con-
straint xy = 16, x > 0, y > 0.
Homework Equations
f(x, y) = x + y
xy = 16
The Attempt at a Solution
I attempted this first using substitution, then using LaGrange multipliers. Both times I got an answer of 8. I entered it into Wolfram Alpha, got an answer of 8. But I'm convinced the answer should be 17 since f(16,1)=16+1=17 which also fits the constraint 16.1=16
?