Here are my .02 worth:
Problems with milk supply are more often related to things that happen in the aftermath of a hemorrhage, as others have said-- separation from baby, in worst case artificial supplements to baby while waiting for mother to be able to feed, etc.
On the bright side, if mother and baby are kept together afterwards, in the same room, preferably in the same bed, milk supply is abundant by the third day because mother isn't bouncing around the ward receiving visitors, talking on the phone, tending her flowers, or any of the other distracting things women do postpartum, to the detriment of focusing on bonding with the baby.  I have seen mothers with blood losses of over 1500 ml with so much milk they don't know what to do with it, as they are too woozy to sit upright to pump and the baby only has one mouth and one stomach and therefore only capable of removing a fraction of the milk from her overfilled breasts... what a tragic problem this is!  :-)
It doesn't require any more staff time to care for the couple together than to do so separately, and mother and baby both benefit.
Rachel

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