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The whole point of the third part audit scheme is so the customer doesn't have to come and look. They got rid of their supplier auditors and replaced them with this scheme. To make sure you are handling your own quality issues, they put the requirement in their approved supplier requirements and their purchase orders. Their only question is: can you maintain the system? Your certification covers that, and they can go about their real business of making their parts. Fact is, even with such a system they still end up having to come in and point out problems. But, as least it is not systemic.
Now, if the customer really doesn't care, or their customers don't care, then you can feel free to print off your own certificate for your TCE Quality System.
Now, if the customer really doesn't care, or their customers don't care, then you can feel free to print off your own certificate for your TCE Quality System.

