Name: Paul Servic
One of my students asked me this question and for some reason i am having a difficult time with it.
Maximize Q = xy 2 where x and y are positive integers such that x + y 2 = 4Hi Paul,
The requirement that x and y be positive integers satisfying x + y 2 = 4 is very restrictive. Since x is positive and y 2 is also positive, the condition x + y 2 = 4 implies that x is less than or equal to 3. That is x can only have the values 1, 2 or 3.
Thus the only positive integers x and y that satisfy x + y 2 = 4 are x = 3 and y = 1.Cheers,