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} = 4 Hi 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,Penny
