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An infrastructure SaaS has 1,000 tenant accounts on the free and paid tiers.
Question:
After one month, how many free tenants and paid tenants are expected to remain?
Report them in the fields free_users_after_month_1 and paid_users_after_month_1 (tenants mapped to those field names for the validator).
Show the calculation clearly. Do not round intermediate values.
Output format: { "free_users_after_month_1": number, "paid_users_after_month_1": number, "calculation": ["...", "...", "..."], "assumptions": ["..."] }
{ "free_users_after_month_1": 552, "paid_users_after_month_1": 432, "calculation": [ "Initial: 1000 total tenants, 60% free = 600 free, 40% paid = 400 paid", "Conversion (happens first): 8% of 600 free tenants convert = 48 tenants", "After conversion: free = 600 - 48 = 552, paid = 400 + 48 = 448", "Churn: 4% monthly churn applies to original paid tenants only (converted tenants cannot churn same month)", "Churn amount: 4% of 400 = 16 tenants", "After churn: paid = 448 - 16 = 432", "Final: free = 552, paid = 432" ], "assumptions": [ "Conversion rate applies to free tenant count at start of month", "Churn rate applies to paid tenant count at start of month (before conversion), excluding newly converted tenants", "No new tenant acquisition", "Conversion occurs before churn in the monthly sequence" ] }
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