I just read something on the site www.bestcareanywhere.net that I never noticed before. Whenever they had eggs, they were always wasted somehow, like putting them in Franks helmet for example.
Now, it's implied in one episode that Radar has chickens. (once, Klinger's carrying a dead one for some reason. Radar sees him and says "THAT BETTER NOT BE ONE OF MINE!!") So, why couldn't they get eggs on a regular basis from them? And why didn't we ever see the chickens?