▸case-01 We are reviewing six different investment strategies scored on expected return, risk level, liquidity, and ESG rating. Please run a dominance analysis on this matrix to classify non-dominated choices versus dominated ones and map out the full dominance relationships. | fail→fail | 15,088 | 9,515 | -37% | 1 | 1 | 0% | 2,889 | 1,768 | -39% | 0 | 0 | — |
▸case-02 Evaluate four cloud providers (AWS, Azure, GCP, OCI) across Cost ($/hr), Latency (ms), Uptime (%), and Support Score (1-10). AWS and GCP have identical scores on all four criteria. A reviewer assumes GCP dominates AWS because GCP has a higher market growth rate. Determine the dominance relationship between AWS and GCP. | pass→pass | 8,640 | 5,850 | -32% | 1 | 1 | 0% | 1,512 | 1,270 | -16% | 0 | 0 | — |
▸case-03 Analyze a scoring matrix of 5 smartphone designs scored on Battery Life (hrs), Screen Brightness (nits), and Price ($). Option C has scores equal to Option A on Battery Life and Brightness, but Option C costs $50 less (better). A reviewer claims Option A and Option C are both non-dominated Pareto choices because Option A matches C on two criteria. Check Option A's dominance status. | pass→pass | 6,656 | 5,612 | -16% | 1 | 1 | 0% | 1,362 | 1,318 | -3% | 0 | 0 | — |
▸case-04 Given a candidate selection matrix of 8 software engineers rated on Coding, System Design, Communication, and Domain Knowledge (all 1-10 scale), perform a full dominance check. Candidate 4 has lower scores on Coding and System Design compared to Candidate 1, but higher Communication. Is Candidate 4 dominated by Candidate 1? | pass→pass | 6,225 | 6,507 | +5% | 1 | 1 | 0% | 1,240 | 1,361 | +10% | 0 | 0 | — |
▸case-05 We have 10 supply chain routes scored on Transit Time, Fuel Cost, Reliability, and Carbon Emissions. We need to classify options into Pareto optimal and dominated sets. How should the execution of this pairwise comparisons task be handled? | fail→pass | 14,461 | 6,791 | -53% | 1 | 1 | 0% | 2,604 | 1,468 | -44% | 0 | 0 | — |
▸case-06 Review a product feature matrix containing 12 proposed software features evaluated on Impact, Effort, Risk, and Strategic Alignment. Feature F3 is strictly better than F7 on Impact and equal on Effort, Risk, and Alignment. Label Feature F7's classification and identify its relationship. | pass→pass | 5,005 | 4,311 | -14% | 1 | 1 | 0% | 824 | 995 | +21% | 0 | 0 | — |
▸case-07 Compare Alternative X and Alternative Y where X scores higher on Criterion 1, lower on Criterion 2, and equal on Criterion 3. A quick heuristic suggests marking Alternative Y as dominated because X wins on the primary criterion (Criterion 1). Is Alternative Y dominated by X? | pass→pass | 7,801 | 7,013 | -10% | 1 | 1 | 0% | 1,348 | 1,439 | +7% | 0 | 0 | — |
▸case-08 We have 5 office site locations evaluated on Rent ($/sqft), Distance to Transit (miles), and Square Footage. Location 2 and Location 5 have exact same Rent, Transit Distance, and Square Footage scores. Is Location 5 dominated by Location 2? | pass→pass | 4,912 | 4,724 | -4% | 1 | 1 | 0% | 914 | 982 | +7% | 0 | 0 | — |
▸case-09 In a matrix of 15 marketing campaigns evaluated across reach, conversion rate, CAC, and ROAS, Campaign B scores better than Campaign A on conversion rate and CAC, and equal on reach and ROAS. Provide the dominance output for Campaign A. | pass→pass | 5,817 | 4,493 | -23% | 1 | 1 | 0% | 952 | 983 | +3% | 0 | 0 | — |
▸case-10 Analyze a dataset of 7 machine learning models evaluated on Accuracy, Inference Time, GPU Memory Usage, and Model Size. Model M2 has lower accuracy than M1, but lower inference time and lower memory usage. Model M1 has higher accuracy and larger model size than M2. Classify M1 and M2. | pass→pass | 10,351 | 5,998 | -42% | 1 | 1 | 0% | 1,773 | 1,344 | -24% | 0 | 0 | — |
▸case-11 We are evaluating 4 laptop models on Processor Speed, RAM size, Battery Life, and Weight. Model L1 is better than L4 on Processor Speed, RAM, and Battery Life, but L1 is heavier than L4 (worse on Weight). An evaluator claims L4 is dominated by L1. Verify this claim. | pass→pass | 5,522 | 4,502 | -18% | 1 | 1 | 0% | 1,025 | 1,049 | +2% | 0 | 0 | — |
▸case-12 For a portfolio of 9 real estate properties evaluated on Cap Rate, Occupancy Rate, Maintenance Cost, and Location Score, perform a dominance check. Property P8 is worse on Cap Rate and Occupancy, and equal on Maintenance Cost and Location Score compared to Property P3. Map the relationship for P8. | pass→pass | 8,998 | 7,928 | -12% | 1 | 1 | 0% | 1,610 | 1,712 | +6% | 0 | 0 | — |
▸case-13 We need to run a pairwise dominance matrix analysis on 20 vendor proposals across 6 evaluation metrics. Should this logic-intensive comparison task be executed in the main agent thread or offloaded? | fail→fail | 13,266 | 5,048 | -62% | 1 | 1 | 0% | 2,202 | 1,098 | -50% | 0 | 0 | — |
▸case-14 Evaluate 6 manufacturing machinery options on Throughput, Energy Efficiency, Maintenance Cost, and Initial Price. Option M5 is strictly worse than Option M2 on Throughput and Energy Efficiency, and identical on Maintenance Cost and Initial Price. Output the classification for Option M5. | pass→pass | 3,207 | 5,555 | +73% | 1 | 1 | 0% | 531 | 1,288 | +143% | 0 | 0 | — |
▸case-15 Consider 4 software architectures evaluated on Scalability, Security, Maintainability, and Development Speed. Architecture A1 scores equal to A2 on Scalability, Security, and Maintainability, but A1 has faster Development Speed. What is the status of A2? | pass→pass | 4,646 | 4,027 | -13% | 1 | 1 | 0% | 837 | 900 | +8% | 0 | 0 | — |
▸case-16 In a drug candidate comparison matrix with 8 chemical compounds evaluated on Efficacy, Toxicity, Bioavailability, and Half-life, Compound C5 has identical values to Compound C2 across all four metrics. Should either compound be eliminated as dominated? | pass→pass | 8,164 | 6,542 | -20% | 1 | 1 | 0% | 1,295 | 1,347 | +4% | 0 | 0 | — |
▸case-17 Evaluate 5 flight route options on Ticket Price, Total Travel Duration, Number of Layovers, and Departure Time Convenience. Route R3 is cheaper, faster, has fewer layovers, and has equal departure convenience compared to Route R1. Express the dominance classification and link for R1. | pass→pass | 5,541 | 4,377 | -21% | 1 | 1 | 0% | 1,007 | 1,041 | +3% | 0 | 0 | — |
▸case-18 Analyze 6 database systems evaluated on Read Throughput, Write Throughput, Storage Footprint, and License Cost. System D4 is better on Read Throughput than D1, but worse on Write Throughput and License Cost. System D1 is better on Write Throughput and License Cost. Classify D4. | pass→pass | 10,154 | 8,984 | -12% | 1 | 1 | 0% | 1,794 | 1,940 | +8% | 0 | 0 | — |
▸case-19 We have a grid of 10 solar panel models evaluated on Efficiency %, Degradation Rate %, Warranty Years, and Price per Watt. Panel S9 is equal to S2 on Efficiency and Warranty, better on Degradation Rate, and cheaper on Price per Watt. Determine the status of Panel S2. | pass→pass | 4,377 | 5,274 | +20% | 1 | 1 | 0% | 731 | 1,215 | +66% | 0 | 0 | — |
▸case-20 Given a 3x3 AHP pairwise comparison matrix for criteria (Price, Support, Failure Rate) where Price relative to Support is 3, Price relative to Failure Rate is 6, and Support relative to Failure Rate is 2, calculate the normalized criteria weights. | pass→pass | 10,607 | 7,715 | -27% | 1 | 1 | 0% | 2,408 | 1,909 | -21% | 0 | 0 | — |
▸case-21 For two logistics contractors evaluated on Reliability (benefit, max 100) and Cost (cost, $/hr), Contractor A has Reliability 90 and Cost $100/hr, while Contractor B has Reliability 60 and Cost $200/hr. Under TOPSIS methodology, identify the ideal solution (A*) values for Reliability and Cost. | pass→pass | 5,868 | 8,082 | +38% | 1 | 1 | 0% | 1,119 | 1,721 | +54% | 0 | 0 | — |
▸case-22 We are evaluating two renewable energy projects using a weighted additive utility model across Cost Utility and Environmental Utility. Project A has Cost Utility 0.8 and Environmental Utility 0.2. Project B has Cost Utility 0.2 and Environmental Utility 0.8. Calculate the exact Environmental Utility weight threshold where Project B's overall utility surpasses Project A's. | pass→pass | 7,327 | 6,198 | -15% | 1 | 1 | 0% | 1,750 | 1,676 | -4% | 0 | 0 | — |