Large Language Model Tokenization & Pricing Economics
LLM API providers bill per million tokens with separate rates for input prompts and output completions. Because text generation involves autoregressive memory overhead, completion tokens are priced 3× to 5× higher than ingestion tokens.
1. Per-Request LLM API Cost Equation
Cost / Request=+
Input Tokens1,000,000
× Input RateOutput Tokens1,000,000
× Output Rate2. Monthly Cloud Infrastructure Run-Rate Formula
Monthly Bill ($)=Cost per Request ($)×Total Monthly API Invocations
Step-by-Step Calculation Breakdown
Step 1: Compute Per-Request Cost on GPT-4o ($2.50 / 1M In, $10.00 / 1M Out)
Workload: 1,000 Input Tokens + 500 Output Tokens
Input Cost = (1,000 ÷ 1,000,000) × $2.50 = $0.00250
Output Cost = (500 ÷ 1,000,000) × $10.00 = $0.00500
Input Cost = (1,000 ÷ 1,000,000) × $2.50 = $0.00250
Output Cost = (500 ÷ 1,000,000) × $10.00 = $0.00500
Step 2: Calculate Combined Request Cost
Cost per Request = $0.00250 + $0.00500 = $0.00750 / query
Step 3: Project Monthly Bill for 10,000 Requests
Monthly Spend=10,000 × $0.00750=$75.00 / Month ($900.00 / Year)
2026 Model Tiers: Frontier Reasoning vs. High-Throughput Flash
| Model Tier | Flagship Examples | Typical Pricing (1M Tokens) | Ideal Workload |
|---|---|---|---|
| Frontier Reasoning | Claude 3.5 Sonnet, GPT-4o, Gemini 1.5 Pro | $1.25 – $3.00 / $5.00 – $15.00 | Complex coding, architectural planning, legal analysis |
| High-Throughput Flash | GPT-4o mini, Gemini 1.5 Flash, Claude 3.5 Haiku | $0.075 – $0.80 / $0.30 – $4.00 | High-volume chat routing, JSON extraction, search summarization |
| Open-Weights | DeepSeek V3, Llama 3.3 70B | $0.14 – $0.59 / $0.28 – $0.79 | Self-hosted infrastructure, sovereign data compliance |