1. The problem statement, all variables and given/known data Find the maximum value of the function f(x, y) = x + y subject to the con- straint xy = 16, x > 0, y > 0. 2. Relevant equations f(x, y) = x + y xy = 16 3. 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 ???