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I would guess one of the top questions is availability

After giving this a quick thought there is technical way to solve this.  I would start by isolating the data stream prior to cars being removed from the dealers inventory.  Look at things like open deals, shown appointments and leads on that car with a lead type of showroom.  Then make a prediction based on those leading input features as to whether the car is gone.  Train the data in a test environment and rinse repeat until it is correct.  You can also broadcast a SMS to mgmt to quick respond y/n

This seams pretty solvable!