Learn Agentic AI and Token Billing Through Hand-Written Math Problems
ProfTomYeh · x · 2026-08-09
Professor Tom Yeh shared a PDF worksheet (Problems 6-10) designed to teach Agentic AI concepts through solving simple math problems by hand.
This section focuses on the parts of LLM workflows where "tokens start costing money," detailing the mechanics of token billing:
- API Call Pricing: Estimating costs by counting 100-token blocks.
- Input vs. Output Tokens: Distinguishing between tokens sent to the model and tokens generated by the model.
- Two-Part Bills: Calculating the end-to-end cost of a call based on different rates for input and output (from words to tokens to cents).
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