How would you describe a job in acme mitten co shipping department?

It depends on the job and the details of manufacture.. If you are working in the warehouse, and are packing and despatching the items, you are a workhouse dispatcher, or an order picker, or any other descriptions that can apply, depending on the country you are working in! If you need to describe the job, it could be a warehouse operative - which I think is correct - having worked in a warehouse for many years before I retired.