As it turns out, we can survive a zombie attack, we just have to be sufficiently aggressive. I, for one, don't have any problem with that.
http://www.wired.com/wiredscience/2009/08/zombies/
Here is a link to the 150 page PDF modeling the various zombie outbreak scenarios.
http://www.mathstat.uottawa.ca/~rsmith/Zombies.pdf