Making more of it
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Capacity here is not a mixing problem. It is a fermentation clock and a refrigerator.
Three ceilings
Fermentation turnaround, for anything live, which you cannot compress.
Cold storage, for raw material, process and finished stock.
Filling hours, which are per bottle and exceed the making.
Melting or mixing capacity, which is what people buy first, comes fourth.
Vessels, not bigger vessels
A ferment takes the days it takes, so capacity is vessels multiplied by turnaround.
Three vessels on a staggered schedule triple output; one vessel three times the size does not, because the clock is the same and the surface-to-volume ratio has changed against you.
Which is the opposite of the advice in most of this estate and is worth stating plainly.
Cold is the one that binds
Doubling output doubles the finished stock needing refrigeration, and cold storage fills before anything else does.
It is also the cost that scales linearly and never goes away, unlike equipment.
Plan it against the stock you will hold rather than the batch you will make, and remember that retained samples need space too.
The step change
Somewhere in the low thousands of bottles per run, hand filling stops working, particularly for a carbonated product where every open pour loses gas.
The options are a semi-automatic filling and capping line, a mobile canning service, or a co-packer.
Mobile canning is specific to this category and genuinely useful: it brings the line to you, handles carbonation properly, and removes the largest single equipment purchase.