Well, honestly it's because most women give up for reasons that are easily fixed, or because of info that is just not entirely true. It's less "throwing in breast feeding" and more "correcting common misconceptions."
- low milk supply is a common complaint, but did you know there are several methods to increasing milk supply? And often, it's not the supply, but the latch?
- problems latching are also easily fixed with instruction, and sometimes there's a medical reason (a common one is the little thing under the tongue being too tight to allow the tongue to get where it needs to be to latch).
- ALL commonly used antibiotics are safe to use when breast feeding.
EDIT: Compared to breast milk, formula is indeed unhealthy. In some cases it can be dangerous, history has given us several instances of formula being contaminated by dangerous chemicals.
What was the drug you were given for your c-section? All *common* antibiotics are safe, it is possible you were given something not safe, but in all fairness you never mentioned that you were given anything "special" for the c-section, just that you had to stop because you were on antibiotics.
If your daughter couldn't latch on, that's probably why your production was low. The female body is designed to produce enough milk to feed the kid (or kids, people with twins and triplets have no problem breast feeding either), if she wasn't latching, and therefore wasn't feeding, your supply was probably low.... but not because you *couldn't* produce enough, more because your body was only producing what was being used, which was very little. A good lactation consultant could have helped with the latch and given tips on increasing production.