Science Diet is awful...but I think it is a bit better than Puppy Chow. Vets, in general, really don't know a whole lot about dog nutrition. If you have to purchase grocery store food, I think the highest quality they have is Purina ONE and even it isn't great. 5-6 cups of (give or take a bit, depending on each pup) probably food would be right for your puppy (not all at once, like I said, about 2 cups per meal) if she was being fed a good food, but since she isn't, it is going to go right through her which does result in a lot of poop. Do you have an pet stores in your town (or close to your town)? Any pet store will sell Nutro if you do, not just the ones I mentioned in my previous post.
Here's a comparison thing between Purina ONE, Science Diet, & Dog chow...they didn't have puppy formulas for all of them on the site but I'd imagine the puppy would be similar to the adult.
Dog Food Comparison
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