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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", "initial_paid_users = 1000 - 600 = 400", "free_users_converting = 600 * 0.08 = 48", "free_users_after_conversion = 600 - 48 = 552", "paid_users_after_conversion = 400 + 48 = 448", "churning_existing_paid_users = 400 * 0.04 = 16", "paid_users_after_churn = 448 - 16 = 432" ], "assumptions": [ "No new users join.", "Conversion happens before churn each month.", "Converted users cannot churn in the same month they convert.", "Churn applies only to paid users who were already paid at the start of the month." ] }
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