I believe most of the QA issues can be solved by doing a pretty simple decision at top management. The decision is "No car should be shipped from this factory with issues".
Then they should act on that decision. The way to do that is to give the QA team veto rights. The QA team are the only people that can accept a car for shipping. They have to run through a checklist and test drive the car for through a track. Even the most minor issues they refuse to ship the car and drive it back to the production team. They fix, and it needs another test at QA.
The production team owns the storage lot with defective cars and they are also the people responsible for production numbers. Except in order to ship the car, it HAS to pass through the QA team. Meaning they can't try to ship defective cars, every car must be top shape. If the defective car lot has a lot of cars, then that's embarrassing for the production team. Also they get the same numbers for fixing those cars as making new cars.
Then they should act on that decision. The way to do that is to give the QA team veto rights. The QA team are the only people that can accept a car for shipping. They have to run through a checklist and test drive the car for through a track. Even the most minor issues they refuse to ship the car and drive it back to the production team. They fix, and it needs another test at QA.
The production team owns the storage lot with defective cars and they are also the people responsible for production numbers. Except in order to ship the car, it HAS to pass through the QA team. Meaning they can't try to ship defective cars, every car must be top shape. If the defective car lot has a lot of cars, then that's embarrassing for the production team. Also they get the same numbers for fixing those cars as making new cars.