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According to Mike1 calculations, it seems like for high qualification levels Noglues estimates a little bit more precise. You can find them in the next thread.
Download tables for the required top manager's qualifications you can here.
The number of employees you can handle at one subdivision (top1) and the total number of employees on profile qualification (top3) is limited by the top manager qualification.
top3
For example, your qualification in production is 10. To know the max total number of employees in production open Top 3 table. Then find the row with qualification 10 and choose the column with production. Their crossing will give you 13051 employees. Hiring more employees will affect the efficiency of all factories.
top1
Let's consider the same example. You need to hire employees for 8th technology and their required qualifaction is 5.28. Open the Factory table. Then find the column with 8th tech/Q5.28 and find the number 10. Then follow this row and find the the numbre 2500. This is the max number of employees with Q5.28 you can handle at qualification 10.
(sometimes you can handle more employees, for the additional info see this topic)