The AI Cost-Modeling Handbook: I let Claude do the modeling, but never the arithmetic

Every "what's the cheapest model?" thread online is people trading vibes. I got tired of it, so I built a pipeline that pulls live, cited prices and runs the numbers through an exact-rational math kernel — no floating-point drift, no LLM hallucinating a multiplication. Then I pointed it at eight of the cost questions every agent builder actually faces. Here's everything it found, and the repo so you can re-run all of it. There are two kinds of LLM cost advice. The first is a benchmark…