The only ones who will benefit from this are the producers of the more expensive brands, as well as the brands with a higher alcohol per volume ratio. Oh, and the bars/dance clubs.
The poor will have to pay more for alcohol, and some will start stealing to pay for their habit like we see with illegal drugs. Likewise they will be more incentivized to go for liquors/spirits rather than beer or wine. Not that I think that liquors/spirits are necessarily worse, but I'm just saying it will likely have the opposite of the claimed intended effect.
Simultaneously, while the convenience/grocery/liquor stores will have to increase their prices, the bars and dance clubs likely will not, since it seems that this minimum price will only apply at the retail level, and these businesses have to charge much more for the drinks in order to cover the accomodations they offer.
So the poor (which is the economic class to which most people who provoke these problems fall into) will be somewhat less likely to buy alcohol at a store and drink at home or in the street, where they can be relatively easily avoided, and they will be somewhat more likely to drink at bars and clubs, where they will be more likely to cause problems for the middle and upper classes that are applauding this new law.