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🧮 Napkin Math & Capacity
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Cost per Million Tokens

The unit every serving decision cashes out in. It is one formula: the fleet's dollars per second divided by the tokens per second it sustains, scaled to a million, with utilization in the denominator because idle replicas still cost money. This page derives it from a GPU price and a throughput estimate, works it at three batch sizes to show why batching is the main lever, separates prefill from decode pricing, and shows how the same fleet's cost per token moves by 5x between a quiet hour and a busy one.

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