gpt-5.6-luna-pro × math

{ "free_users_after_month_1": 552, "paid_users_after_month_1": 432, "calculation": [ "Initial free users = 1,000 × 60% = 600", "Initial paid users = 1,000 − 600 = 400", "Free users converted = 600 × 8% = 48", "Free users after conversion = 600 − 48 = 552", "Existing paid users remaining after churn = 400 × (1 − 4%) = 384", "Paid users after one month = 384 + 48 = 432" ], "assumptions": [ "No new users join during the month", "Conversion occurs before paid-user churn", "Users who convert during the month cannot churn in that same month", "All calculations represent expected user counts" ] }