The average person needs to eat about a pound of protein a day at least, if not more, if they're going to be fit enough to do manual labor all day. So assuming you have 200 people, that's 200lbs of meat every single day. Even if you had an army of chickens and a whole herd of cows, there is no possible way that you can source that much fresh meat for any length of time. Like, do you kill the chickens? You need them to lay eggs. Do you butcher the cows? You need them for milk, and to make more cows. Same with sheep and goats. And it's not like you're going to somehow have a steady supply of ready-to-butcher animals as they are born and grow up. It takes at least a year to a year and a half for a cow to grow fully, with sheep being half a year if you have absolutely ideal conditions.
So there's no possible way to source that much meat with such a small stock of animals. You'd need hundreds of them in order to have them birthing, growing, and aging enough that you can consume one a day and not run out.