There is no economic system that can accommodate a population that refuses to respond to prices. That said, I think your numbers are overly pessimistic.
The critical part to remember is that people dont have to do the math and do the budgetary calculus. If they cant afford the eggs, they cant buy them.
I think there is small percentage of people that cannot afford the eggs. we are not talking diamond rings here - even if dozen eggs were $20 it is still $20 - most families can afford that...
The critical part to remember is that people dont have to do the math and do the budgetary calculus. If they cant afford the eggs, they cant buy them.