I haven't been called smart arse for a while
Well as it has said I believe on one of the pages it all depends upon what or how the zombie apocalypse started. Once you can determine where and what started it then you can try and trouble shoot a solution but without that important piece of information you stand no chance.
If it is the living dead then you can start to work out a means of stemming the flow of fresh meat by ensuring anyone who dies naturally or via zombie infection is burned, no body no zombie right?
If it is some sought of infection then prisoners/test subjects are required and hope to hell somebody was smart enough to save someone with knowledge in isolating infections!