Llama 3 8B at FP16 needs 16.1 GB for its weights and 24.6 GB in total at 8K context with 8 concurrent users. That means it fits on a single TPU v5p (per-chip, 95GB). Every figure is computed by tokcalc's open-source capacity model.
| GPUs | Total VRAM | VRAM needed | Decode tok/s | Aggregate tok/s | TTFT | Cost / 1M tok | Fits? |
|---|---|---|---|---|---|---|---|
| 1× TPU | 95 GB | 24.6 GB | 33.15 | 397.8 | 633.4 ms | $2.93 | ✓ |
| 2× TPU | 190 GB | 24.6 GB | 56.35 | 1352 | 334.4 ms | $1.73 | ✓ |
| 4× TPU | 380 GB | 24.6 GB | 112.7 | 5410 | 182.2 ms | $0.8627 | ✓ |
| 8× TPU | 760 GB | 24.6 GB | 225.4 | 21639 | 106.1 ms | $0.4313 | ✓ |
| Context | Concurrent users | KV per request | Fits? |
|---|---|---|---|
| 4K | 147 | 549.8 MB | ✓ fits |
| 8K | 73 | 1.07 GB | ✓ fits |
| 33K | 18 | 4.29 GB | ✓ fits |
| 66K | 9 | 8.59 GB | ✓ fits |
| 131K | 4 | 17.18 GB | ✓ fits |
| GPU | GPUs | Aggregate tok/s | Cost / 1M tok |
|---|---|---|---|
| RTX 5090 32GB | 1× | 870.3 | $0.1596 |
| AMD MI300X 192GB | 1× | 2574 | $0.2698 |
| V100 SXM2 32GB | 1× | 437.1 | $0.3177 |
| A100 40GB SXM4 | 1× | 752.8 | $0.3321 |
| AMD MI325X 288GB | 1× | 2914 | $0.3336 |
| A100 80GB SXM4 | 1× | 971.4 | $0.3432 |
Yes. Llama 3 8B at FP16 needs 24.6 GB including the KV cache, and TPU v5p (per-chip, 95GB) has 95 GB — so it fits on a single GPU.
33.15 tokens/sec per stream and 397.8 tok/s aggregate with continuous batching at 8 concurrent users. Time to first token is 633.4 ms, and inter-token latency is 30.2 ms.
$2.93 per 1M output tokens at 1× TPU v5p (per-chip, 95GB) ($4.20/hr). That is the marginal hardware cost — add idle capacity, ops, and egress for the real figure.
16.1 GB for the weights at FP16, plus 8.6 GB of KV cache for 8 concurrent requests at 8K context — 24.6 GB total. Every extra concurrent user at long context costs more, so leave headroom.
It works. Compare $2.93 per 1M tokens against the alternatives below — the cheapest option that fits the same workload is 4× RTX 3080 10GB at $0.0443, and the fastest is 1× Cerebras CS-3 (WSE-3) at 9714 tok/s.
Same formulas, your context length, concurrency, and quantisation.