Because it is government's job to promote the welfare of it's citizens. It is important for babies that they are breastfed if at all possible. That is not happe

Because it is government's job to promote the welfare of it's citizens. It is important for babies that they are breastfed if at all possible. That is not happening enough. So government promotes it (when not corrupt). It's similar to a marriage license. Why should the government be involved at all? because it is not purely private, but involves multiple people and is part of the public good, so it falls under the role of government.