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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": 424, "calculation": [ "Initial free users = 1000 * 60% = 600", "Initial paid users = 1000 - 600 = 400", "Conversions from free to paid = 600 * 8% = 48", "Free users after conversion = 600 - 48 = 552", "Paid users after conversion = 400 + 48 = 448", "Churned paid users = 448 * 4% = 17.92", "Paid users after churn = 448 - 17.92 = 430.08", "Wait, let me recalculate carefully:", "Conversions = 600 * 0.08 = 48", "Free users remaining = 600 - 48 = 552", "Paid users before churn = 400 + 48 = 448", "Churn = 448 * 0.04 = 17.92", "Paid users after churn = 448 - 17.92 = 430.08" ], "assumptions": [ "Conversion happens before churn each month", "A converted user cannot churn during the same month they convert", "No new users join" ] }
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