Per-Customer Cost Concentration: Why AI Cost Dashboards Hide the Power Law
Your AI feature's cost is a distribution, not a number. The dashboard hanging on the wall of the eng-finance war room says $187,000 last month, broken out by feature, by model, and by region. None of those views answers the question the CFO is actually about to ask: "Who is paying us $40 a month and costing us $4,000?" When you sort by customer_id instead of by feature, the line that was a comfortable bar chart becomes a hockey stick, and the team that designed against the average customer discovers it has been quietly underwriting the top of the tail for a quarter.
The pattern is so consistent it deserves to be called a law. Across production LLM workloads, the top 1% of users routinely drive 30–50% of token spend, with similar shapes showing up at the top 0.1% and the top 0.01%. This isn't a quirk of any one product — it's what happens when you ship a feature whose marginal cost is variable and whose pricing is flat. Average-user margins look fine. Median-user margins look great. The integral over the heavy tail is where the quarter goes.
