Datasoft‘s 1984 release, Conan, is a curious game. It doesn’t seem to be directly related to either of the two Conan films released in the early ’80s (although it does use artwork from the sequel, Conan the Destroyer), so my guess is that it was a quick cash-in on the popularity of Arnold Schwarzenegger by the developers.
The game was originally written for the Apple II by Eric Robinson and Eric Parker, and the Commodore 64 version was created by Ron J. Fortier and John Butrovich.