They keep their regional and local warehouses stocked with the items. Using algorithms (math type stuff) they can fairly accurately guesstimate the stock needed at each of their regional/local distribution centers to meet those orders.
They also give a discount/perk to Prime members who elect to NOT get their items one/two day or recently they have gone to a “Prime Day” where they deliver any orders in the same day. This allows them to be able to more accurately predict shipping and stocking/inventory needs and plan for them.
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