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A SaaS product has 1,000 users.
Question: After one month, how many free users and paid users are expected to remain?
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 free users = 1000 * 0.60 = 600", "Free users converting = 600 * 0.08 = 48", "Free users remaining = 600 - 48 = 552", "Initial paid users = 1000 - 600 = 400", "Existing paid users churning = 400 * 0.04 = 16", "Existing paid users remaining = 400 - 16 = 384", "Converted users remain paid = 48", "Total paid users remaining = 384 + 48 = 432" ], "assumptions": [ "The remaining 40% of users are already paid users at the start.", "Conversion is applied to free users at the start of the month.", "Churn applies only to paid users who existed before the month's conversions; converted users do not churn in their conversion month." ] }
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