Erm, noob question. But how do you afford to get 3 port banshee off 1 base?
You can't, that's why its cheesy! There's no way u can support 3 port off 1 base. The strategy here is to make 2-3 marines to keep overlords out of your base (heck the cheeser sent his initial marine all over the place looking for my overlords) and then u save up resources to make 6 banshees at once and go and all-in your opponent, usually with your initial 3 marines and a fuckload of SCVs.
Yeah, 3-port 1 base banshee happens for only those with bad macro. You can barely support 2-port banshee on 1 base. As dKiWi said, marine production would just stop that from happening.
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