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UnitSim
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Quick Access
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info What UnitSim Is
UnitSim is an innovative simulation platform that combines advanced AI technology with intuitive user interfaces to create powerful, customizable simulation experiences for startup founders and product managers.
- check_circle Unit-economics simulator for founders & PMs: Customer acquisition cost, churn, ARPU, tier pricing, freemium conversion.
- check_circle Pure calculations → structured outputs (tables + series + narrative) rendered inline via Apps SDK components.
- check_circle MCP server surfaces tools with strict JSON Schemas for reliable invocation in ChatGPT.
- check_circle Available in OpenAI ChatGPT as a Model Context Protocol (MCP) server for seamless integration.
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emoji_events Why It Can Win
Our unique approach to simulation technology sets us apart from the competition:
- star Instant, visual answers - Founders constantly ask "What's my break-even?" "Which tier mix hits target margin?" We deliver immediate insights.
- star Tiny, deterministic core ⇒ low maintenance and easy verification.
- star Perfect for Apps SDK inline UI (sliders/tables/charts + export) inside the chat thread.
- star Open-source foundation with active community support.
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hub Integration with ChatGPT
UnitSim is fully integrated with OpenAI ChatGPT through the Model Context Protocol (MCP). Users can access all four tools directly within ChatGPT conversations for seamless unit economics analysis.
- Enable Developer Mode in ChatGPT settings.
- Go to Connectors → Add new MCP server.
- Enter the URL:
https://ai-contextengineering.com/mcp. - Confirm connection. UnitSim tools will appear automatically.
Available tools:
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calculate_unit_economics_tool- Calculate LTV, CAC ratios, and payback periods -
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simulate_pricing_tiers_tool- Compare multiple pricing tiers and blended metrics -
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analyze_freemium_funnel_tool- Track conversion funnels and cohort analysis -
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scenario_analysis_tool- Monte Carlo simulation and sensitivity analysis
Python
FastMCP
FastAPI
JSON Schema
check_circle Current Implementation Status
| Tool | Purpose | Status |
|---|---|---|
calculate_unit_economics_tool |
Calculate LTV, CAC ratios, payback periods, and health status | ✅ Complete |
simulate_pricing_tiers_tool |
Compare multiple pricing tiers and calculate blended metrics | ✅ Complete |
analyze_freemium_funnel_tool |
Track conversion funnels, cohort analysis, and bottleneck identification | ✅ Complete |
scenario_analysis_tool |
Monte Carlo simulation, sensitivity analysis, and scenario modeling | ✅ Complete |
| Component: Unit Economics Table | Interactive table showing LTV, CAC ratio, payback period, and health status | ✅ Complete |
| Component: Pricing Tiers Table | Multi-tier comparison with revenue distribution and optimal tier identification | ✅ Complete |
| Component: Freemium Funnel | Stage-by-stage conversion tracking with cohort survival modeling | ✅ Complete |
| Component: Scenario Analysis Dashboard | Interactive dashboard with Monte Carlo results, sensitivity analysis, and statistical summaries | ✅ Complete |
timeline Development Roadmap
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Stage 1: Unit Economics (Complete)
- LTV calculation:
LTV = (MRR × Gross Margin) / Churn Rate - LTV/CAC ratio analysis with health thresholds
- Payback period computation
- Input validation and error handling
- LTV calculation:
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Stage 2: Pricing Tiers (Complete)
- Multi-tier pricing comparison (up to 10 tiers)
- Blended ARPA and LTV/CAC calculations
- Revenue distribution analysis
- Optimal tier identification
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Stage 3: Freemium Funnel (Complete)
- Cohort analysis and survival modeling
- Stage-by-stage conversion tracking
- A/B test sample size calculations
- Bottleneck identification
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Stage 4: Scenario Analysis (Complete)
- Monte Carlo simulation (up to 50,000 iterations)
- Sensitivity analysis with tornado diagrams
- Statistical distributions: Normal, Log-Normal, Triangular, Uniform
- Risk metrics: Value at Risk (VaR), confidence intervals
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Stage 5: Export & Persistence (Planned)
- pending PDF export (reportlab/weasyprint)
- pending Excel export (openpyxl)
- pending Model saving/loading
- pending Team collaboration (share links)
Scalable
Cloud-Based
Collaborative
Export Ready