Here's the real problem.. Realistically, the zombie part of it would be over in like 2-3 weeks tops..
Zombies are rotting flesh, and they're quite dumb, so they'd exhaust their local food supply quite quickly, and they're really not intelligent enough to make sure they don't Die of rotting..
So, you'd still end up with mostly nothing to shoot..
And the social services will be broken for much longer, soooo.... no hot showers for like a year....
That's going to be the hardest part IMHO.