I think the question would be better answered with more information i.e what the graphic would be, is it a banner or a actual character cut out that way you could be better directed in the answer...also you need to consider who is prinitng the cutout yourself of a company if it was yourself you need to know the dpi for your printer and what paper you will be printing on there are many factors as you can see rather than just what resolution is reccomended
It would be a cut out of a person, hopefully life size (hence the height). It would be printed by a company that secalises in printing and says it has done many cut outs before. I do get this might not be enough info, perhaps i am better jsut asking the company doing the printing?