Personally, if I were a PhD, I would not want a position that is below my level of education. A job that is for a BS level person is just not the level of job that I would apply for. And employers know that -- if they put in a 'min level BS' they are going to lose at least 60% of their PhD applicants. SO -- why would they do this? There are two reasons.
For one, it could be a company that is really trying to fill the job with a BS level person, but they'll take anything they can get.
In other positions, it may be a company that has a job like a Sales Rep position, for example, that could be filled legitimately by any degree level. If you have a desire to DO THAT JOB, than by all means apply. (A PhD level salesperson in a company selling reagents, instruments, etc, is often seen at the $100K salary level in a good market like SFO, Boston, San Diego, DC, etc -- so there may be reasons why that job appeals!).
Anna, the long and the short of it is that if you have an interest in the type of job described, send a resume. Just remember that advertised jobs are less than half of the positions available, so you've really got a lot of work to do in the networking department in order to find that other 60% or more of the jobs,
Dave Jensen, Moderator
“I shall tell you a great secret, my friend. Do not wait for the last judgment, it takes place every day.” - Albert Camus