Estimate queue recovery and choose a safe scaling action.

Instruction: Calculate the drain time and explain which constraint must be verified before adding workers.

Context:

A fictional queue contains 18,000 jobs. New jobs arrive at a steady 120 per second. Workers complete 150 jobs per second in total. Each job performs a database write. The oldest job is already eight minutes old. Assume no retries, equal job cost and stable rates for the calculation; the database has not yet been load-tested above the current completion rate.

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The net drain rate is 150 minus 120, or 30 jobs per second. Clearing 18,000 jobs takes 600 seconds, or ten minutes, if the assumptions hold...

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