wait, I am confused, is this something you are actually planning to maybe *do* or is this a school project type of thing?
(I am guessing the latter...?)
You can pretty much make up anything sensible you want, because it just depends how non-vegetarian you want the family to be. Even if you don't want to be especially hard-core vegetarian, it is not really necessary to eat chicken MEAT at all (although if you are replacing the flock regularly you will find youself with old hens and young cockerels that you may as well eat), you just need enough eggs to supplement whatever vegetable-based protein the diet has. Again, "enough" is totally discretionary depending on how vegetarian, or not, you want to imagine being.
Figure a good sex-link hen at her peak will give you 5-6 eggs per week. Multiply by however many eggs you want. There you go.
Does that help (whether this is project or for real)?'
Pat