📐 Mathematical Formula & Derivation
C_{\text{Auth}} = B_{\text{plan}} + \max(0, \text{MAU} - \text{MAU}_{free}) \times r_{\text{MAU}} + N_{\text{SSO}} \times P_{\text{SSO}} 🔬 Engineering Methodology & Benchmark Analysis
Identity-as-a-Service (IDaaS) pricing often features a steep "MAU Cliff." An application that costs $0–$35/month at 5,000 users can suddenly jump to $1,500+/month once crossing 50,000 MAUs or requiring more than 5 Enterprise SAML SSO connections.
Clerk charges $25/mo base (10,000 free MAUs) + $0.02 per additional MAU and $75/mo per SAML connection, whereas Supabase Pro ($25/mo) includes 100,000 free MAUs and charges $0.00325 per additional MAU.
🛠️ Step-by-Step Engineering Calculation Guide
- Monthly Active Users (MAU): Configure "Monthly Active Users (MAU)" (default benchmark: 45000) or select an industry preset.
- Enterprise SAML / Okta SSO Organizations: Configure "Enterprise SAML / Okta SSO Organizations" (default benchmark: 3) or select an industry preset.