Myself, I like good eggs, but I’m not paying $1/egg.
It looks like Whole Foods charges about half that for fancy organic eggs.
However, if you sold them at the Ferry Building in San Francisco and had a good story about why your eggs were special, I think you could get $12 a dozen.
How many of us are going to balk at $1/egg after we just paid $5 for an espresso and are ogling the $50 bottles of olive oil? Especially if we've been conditioned to not eat too many eggs because "cholesterol."
It may not be enough to live on but for a hobby, it's pretty much free money. Although I assume the market charges a stall fee that will eat into profits, but still...
In my experience, a small farmer basically needs to cook their books to appear profitable. Profit is not realistic if you include all of the actual costs.
Even if you outright own the land, by the time you figure in maintenance and equipment on any cattle farm under 500-1000 head of cattle you simply can't turn a profit in a meaningful way. What you CAN do is use it as a tax shelter where you sorta break even if you squint and hope.