Overhead projector for a 10 X 12 room

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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?
 
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