Oh man, I hope this isn't my next issue....
I think it would end up needing a new power supply, though, because the power supply comes with a lot of other stuff all in one piece. I forget if the not turning on is exactly the power supply itself or a capacitor, but I remember reading about this when I was trying to figure out my own elites' issues.
If it does need a new power supply, though, the part is a little over $300 and then I bet the repair people would charge that much again for labor.
Maybe someone else will know if it could be something more minor. I am just basing on memory, so who knows. Any time I ask these types of questions, though, nobody answers... so I don't know if anyone knows or not.