I am considering starting a small businees renting out medical
equipment to small/private medical practices in my area.  I would rent
out the equipment on a per day basis.  The idea is that private
practitioners would be able to perform more procedures with the
equipment and would therefore be willing to rent it for a day at a
time.  The equipment is too expensive and would be used too
infrequently to make it a worthwhile purchase for them.  The Doctors
could schedule all of the patients that would require procedures using
the equipment for the day of the rental.

My question(s):
How do I determine if there is a viable market for such a service in my area?
How do I advertise the service to this market?

Dear Clever Name, 

Your question is about to expire without having been answered, and you
might be disappointed. 

One possible reason for that is the pricing you put on your question:
to answer it well, your question would have required more time and
effort than the average amount of time and effort associated with this
price. Here is a link to guidelines about pricing your question, in
the pricing guide:
https://answers.google.com/answers/pricing.html - I hope this would
help you price your next questions on Google Answers.