# The Multivac — Evaluation Report

**Evaluation ID:** EVAL-20260402-162338
**Date:** Mar 18, 2026
**Category:** reasoning
**Question ID:** REASON-010

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## Question

You're a consultant charging $500/hour. A client asks you to find the optimal solution to a complex problem. You estimate:
- A quick solution (1 hour) has 60% chance of being optimal
- More analysis (5 hours) has 90% chance of being optimal
- The optimal solution saves the client $50,000 vs. the suboptimal one

1. How much analysis should you do?
2. How would your answer change if you charged $1000/hour?
3. What if you were doing this for yourself (no billing)?
4. Generalize: derive a formula for optimal thinking time given problem stakes and thinking cost

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## Winner

No winner determined.

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## Rankings

| Rank | Model | Provider | Avg Score | Judgments |
|------|-------|----------|-----------|----------|

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## 10×10 Judgment Matrix

Rows = Judge, Columns = Respondent. Self-judgments excluded (—).

| Judge ↓ / Resp → |
|---|

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## Methodology

- **10×10 Blind Peer Matrix:** All models answer the same question, then all models judge all responses.
- **5 Criteria:** Correctness, completeness, clarity, depth, usefulness (each scored 1–10).
- **Self-judgments excluded:** Models do not judge their own responses.
- **Weighted Score:** Composite of all 5 criteria.

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## Citation

The Multivac (2026). Blind Peer Evaluation: REASON-010. app.themultivac.com

## License

Open data. Free to use, share, and build upon. Please cite The Multivac when using this data.

Download raw JSON: https://app.themultivac.com/api/evaluations/EVAL-20260402-162338/results
Full dataset: https://app.themultivac.com/dashboard/export