Maximum Food in one city and what can it support

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I haven't built this city, but this is the biggest (or very close to the biggest) they get:

Lvl 10 agriculture (100% base food increase) 40 lvl 10 farms (5,500 food each or 220,000) Hero with 150 politics (150% increase based on base) 100 providence Lvl 10 Town Hall (10 lvl 10 lakes) 35% base increase (350%) 25% agriculture buff bonus

220,000 + 330,000 + 220,000 + 770,000 + 55,000 + 100 1,595,100 food or 531,700 warriors or 265,850 pikemen or 177,233 archers and 1 warrior or 227,871 swords or 88,616 calvary and 4 warriors or 44,308 cataphracts and 4 warriors or 31,902 ballista Wait...

Thats not very many ballista. Im fairly certain that 531,700 warriors can kill any of those others (except archers of course)

Thats a fault in the food math.

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