No fewer than any of the other late Turbo releases, which adds to the ridiculousness of people charging thousands of dollars for it. It actually had a larger print run than many less expensive games.
Most of the 1993 and later releases had print runs of 1,500-5,000 units. 3,000 is the number I've been quoted as MC's print run from a friend who used to work at Hudson.
To put it in perspective for you: Order of the Griffon also had a print run of 3,000. Yes, the same name of copies exist of both Order and Chase. Think about it.