IPad 2's screen wont turn on, but touch works fine, and the iPad still works with a projector.

Question

One of my teachers came to me for help today. Her iPad 2 works fine except for one thing. The display won't turn on. We know the iPad still works, as when we connect it to a projector via VGA, the iPad's screen shows up through the projector, and we can navigate through the ipad using touch on the iPad's digitizer.
Restoring the iPad didn't help, so I'd like to know if there's a simple fix for this, or if we should take this to the Apple Store.
If we have to the apple store, how much would it cost for someone from the genius bar to fix it? The iPad's warranty has expired.

Answer 1

Try this  - Reset the iPad by holding down on the Sleep and Home buttons at the same time for about 10-15 seconds until the Apple Logo appears - ignore the red slider - let go of the buttons. (This is equivalent to rebooting your computer.)
Not normal. Take it to an Apple Store for evaluation.
Make a Genius Bar Reservation
http://www.apple.com/retail/geniusbar/
Apple's Limited Warranty http://www.apple.com/legal/warranty/ for iPad excludes coverage for damage resulting from accident, disassembly, unauthorized service and unauthorized modifications.
Out-of-Warranty Service
     If you own an iPad that is ineligible for warranty service but is eligible for Out-of-Warranty (OOW) Service, Apple will replace (Apple doesn't repair) your iPad with an iPad that is new or equivalent to new in both performance and reliability for the Out-of-Warranty Service fee listed below. (The replacement will most likely be a refurbished iPad in a brown box, however, it has a new screen, back and battery.)   
iPad model    Out-of-Warranty Service Fee
iPad mini    $219
iPad 3rd, 4th generation    $299
iPad 2, iPad    $249
A $6.95 shipping fee will be added if service is arranged through Apple and requires shipping. All fees are in US dollars and are subject to local tax.
Certain damage is ineligible for out-of-warranty service, including catastrophic damage, such as the device separating into multiple pieces, and inoperability caused by unauthorized modifications. However, an iPad that has failed due to contact with liquid may be eligible for out-of-warranty service. See http://support.apple.com/kb/index?page=servicefaq&geo=United_States&product=ipad
Make a Genius Bar Reservation
http://www.apple.com/retail/geniusbar/
You may can get the iPad repaired at 3rd party repair sources for less $, however, any remaining Apple warranty will be voided.
iCracked - Broken iPhone, iPod or iPad
http://www.icracked.com/
iReVamp Electronics Screen Repair ($99)
http://www.irevampelectronics.com/ipad-2-broken-glass-screen-repair.html
iPad Repair & Screen Replacement Services
http://www.ifixyouri.com/16-ipad-repairs
RepairZoom iPad Repair
http://www.repairzoom.com/ipad-repair.html
Mission Repair
http://www.missionrepair.com/Apple_iPad_Repair_Services_s/431.htm
iGadgetResQ
http://www.igadgetresq.com/ipad-repair/
Do It Yourself iPad Reapir
http://www.ifixit.com/Device/iPad
 Cheers, Tom