I am currently going to start a small in-home business selling
computers that I build. I have been told technical support will be an
important selling point for me. I was told that i could sub-contract
out the 24/7 technical support work to a firm who specializes in
in-bound technical support help for computers but I do not know who to
go to. I need to find a sub-contractor that will be able to give
technical support at a reasonable price (seeing as how im an in-home
business) for a very small volume of traffic (seeing as how i most
likely will only get a few dozen customers a year).

You can try places like www.Piersontech.com (small) or www.Ingenio.com
(large). Or you can practically do it yourself by posting questions at
a place like http://forums.techguy.org or www.theofficeexperts.com or
www.virtualdr.com.

If you are selling to the local community, I don't think 24/7 tech
support would need to be outsourced. For problems NOT caused by your
computer, you could simply supply your customers with links to places
where they CAN get 24/7 tech support. When asked, you can say "Oh, I
provide you with information on getting FREE technical support."
Nothing's better than free. Let me know, and I'll provide you with a
list of all my links. :)

Good luck on your venture!

Where can they get free 24/7 service? Forums dont seem like something
people new to computers would like to deal with if they even know that
they exist. Im also conflicted as I dont want to sell the computers
and offer no support to my customers. Im capable of replying to emails
but if they have problems and do not have the internet or are having
problems with their internet connections, I dont see how i could help
without being directly called. I also dont want to give them a phone
number to some site like that geeksquad technical support that charges
some $30 per call i think. Anymore suggestions would be greatly
appreciated as im dealing with people new to computing (so you gotta
revert back to your 'what would i do if i was new to computers'
mindset hehe).

Ingenio (mentioned above) charges by the minute... and you can call by
phone. And they get something like their first $5 free.