Managing processes in a process map

We have a simple process map:
Managing process?
Main processes: 1. Take over the order and material 2. Preparation of production and production 3. Control and packaging 4. Expedition
Supporting processes: 1.Training of people, 2. Internal audit, 3. Maintenance and calibration
What will be the inputs and outputs of the Managing process, please?

Answer:

I understand that you are refering to the different management processes that you should include in the process map. This is something that differs from one organization to another, but to give you an example, some of the managerial processes usually are:
- Financial and resources management
- Roles, responsibilities and authorities
- Measurement, analysis and improvement

A Process map is just one way to provide a high-level view of the processes that conforms your quality management system and also shows how different processes interact. However this is very helpful is not mandatory in ISO 9001:2015.

These materials can help you to understand the process map of your organization:
- Article - ISO 9001:2015 process vs procedure - some practical examples: https://advisera.com/9001academy/blog/2016/01/19/iso-90012015-process-vs-procedure-some-practical-examples/
- Article - ISO 9001: The importance of the process approach: https://advisera.com/9001academy/blog/2015/12/01/iso-9001-the-importance-of-the-process-approach/
- Book – Discover ISO 9001:2015 through practical examples: https://advisera.com/books/discover-iso-9001-2015-through-practical-examples/
- Free on-line training – ISO 9001:2015 Foundations: https://advisera.com/training/iso-9001-foundations-course/