How to use Pokemon Amie without my Pokemon starving and having high enjoyment at the same time?

Question

Every time I play with a Pokemon in Pokemon Amie, it needs food. When I feed it, its enjoyment goes down again. (I personally enjoy eating, what's wrong with these guys? They're so spoiled.)
I used to be able to have both of these up at five or four values at the same time, but I don't know how I did.
Also, what do these two stats do? How do they enhance Pokemon?

Answer 1

well, it is all about getting "hearts", see those hearts that appear when you feed a Pokemon, play with it, and pet it? Well after a certain amount, your affection goes up by one. Once your affection is maxed, it can never go down, and you can evolve eevee into sylveon. Pokemon with max affection also do special things in battle. For example, it will land critical hits easier, it will "read your mind" and dodge attacks a lot, and if it gets poisoned or paralyzed, it will shrug it off and lose the status condition, and much more. It is very useful in the normal game itself, but doesn't work when having wifi battles.