Funnily enough, I have considered what I'd do in such an event...
In our rural Arkansas "town", we're all farmers (grain and cattle/chickens). Of course, we've got guns and all that. Don't live too far from the actual town (8 miles), and I'd assume that if things were getting bad there, they'd head our way. Which of course, may lead to conflict. Some of my neighbors aren't so neighborly. I imagine they'd be even less neighborly during a time of pandemic with flesh eating maniacs walking around.
We live on a ridge, with our farms on either side of it. Have 5 dogs, a chicken coop, and a little veggie garden (wouldn't support us really unless we expanded it). We would have access to grains such as rice, corn, and soybeans. There's also a natural spring on our old cow farm, about 2 miles away. Have some knowledge of where to access (I repeat, LEGAL) explosive target powder (a.k.a. Tannerite), so we could make fun things for fun critters walking about with bloody faces.
Farm shop has 5,000 gallon diesel tank, and maybe a 500 gallon tank of gasoline? I'm not sure on that last one. We have a bunch of scrap metal and sheet metal laying around, as well as a sheet metal cutter. If a horde shows up, we have the Combine with the corn header. That'd be one hell of a mess, but it'd cut through them quite well. Tractors with rollers, could clear the roads of any severed biting heads by flattening them to a pancake-like consistency.
Our house is situated on a clearing on a hill, with fences surrounding our property, about 40 acres. We'd see them coming from afar, and could definitely take them out long before they got close. Or, you know... run up and whack-em in the head with something.
Overall, I feel like we'd survive relatively well. We have everything we need to survive, but locating a closer spring would be nice. We could also use the wells on our farms, but those require a power source and diesel. I don't think I would last long though. Simply because of my anti-depressants/anxiety medication. I'd be okay if I was with people, but I'd probably break down if I was the only one left.
Now, if I'm in Germany, where I plan on being in a few years... I'm screwed.