There are 3 items (not counting Ramen) that can be crafted from an Egg:
Fried eggs (MP boost)
Marinated eggs (HP + Energy in dungeon)
Mayonnaise (production boost)
Fried eggs cost 2x Eggs (2x Wheat), 1x Rice (basically 1x Wheat) and 1x Coin. That's 3x Wheat and 1x Coin. Let's assume they give 12-20 MP (from a 20% increase). I usually do 2A, because of Catacombs, Drums and it requires very little resources to complete. 12-20 MP is roughly 12-20% of 2A.
Average loot (16%) for 2A:
2.5 Crypto-coin = 2 Coins
0.25 Drum = 4% of a puzzle
0.06 Wood = 0 Wood
1.5 Meteoric Iron
0.7 Thread = 1 Coin
0.21 Rice => added below
0.25 Wheat = 0.5 Wheat
0.85 Ultraviolet Cherry
0.8 Mushroom
0.2 Treasure map fragment = 0.2 Coin (when you sell the map)
0.01 Catacombs map fragment
0.9 Ancient page
Total:
~4 Coins
4% of a puzzles (I don't know how to compute this... let's say it's 5 Coins, 1 Wood and 1 Stone)
1.5 Meteoric Iron
0.5 Wheat
0.85 Ultraviolet Cherry
0.8 Mushroom
0.01 Catacombs map fragment
0.9 Ancient page
That's 0.5x Wheat and 9 Coins. Other items I already have too many. Total:
-2.5 Wheat and +8 Coins.
If I would make Cherry buns (from 3x Wheat) and sold them instead, I would get 15x Coins in profit.
Marinated eggs also need Soy sauce, which impossible to get from 2A. Cherry buns almost give the same amount of HP + Energy and are also much cheaper to craft. Marinated eggs would only be viable in higher dungeons, where food items would be scarce.
Mayonnaise. I don't know. I almost never use boosts. It also requires Glass and Olive oil, so it's probably not that efficient.
Also, if you need Eggs you can buy them in Shop. They are not so cheap, but you won't need many of them.