Overhead projector for a 10 X 12 room

My room's where I'm going to put an overhead projector with lcd panel on, and it would probably be closer to five to eight feet from the screen, which is a windowshade , about 60 inches across, screwed into the wall. Would a 2000 to 3000 lumen ohp be sufficient, because I understand 4000 lumens puts out a great deal of heat, although it is bright, or should I just pop for overkill and go with 4000?