which video projector...

[CornMonkey]

which video projector would be best for a large auditorium sized room(approx. 1000 ppl) used on a 10'x14' screen on, let's say, a $10,000 budget?

[Apex]

That's a pretty small screen for a 1000 person auditorium.

Your best bet on that budget is the Sanyo PLC-XF30:

http://www.sanyo.com/business/presentation/projectors_fixed_199.cfm

http://www.sanyo.com/business/presentation/projectors/prodimages/PLC-EF30-XF30L.jpg

5800 ANSI lumens, can be double stacked for nearly 10,400 lumens
XGA native resolution
700:1 contrast
2 Lamps
DVI interface
Power lens shift
Power zoom, focus

It fits right at the $10k budget.