I don't believe that a physicist/engineer/mathematician with a PhD would make $40K a year.
A newly graduated engineer with no experience should start off making more than that and mathematicians/physicists probably around $40K (joboutlook.com). An engineer with a PE averages $100K a year. So I believe your numbers aren't quite right.
I imagine there are the occasional people who have done through a lot of schooling and still couldn't be the job the wanted, but I don't think it's most of the graduates. I did work with a teacher with a biomedical EE MS degree who couldn't get a job in his field, but his field is pretty specialized. And he had some odd mannerisms and a very arrogant attitude, which may have put off some employers. He is, however, making an excellent teacher (but not making much money.)
Frankly, it doesn't matter whether you believe it or not.
"$35,709 Average starting gross annual salary / stipend
$40,398 Average current gross annual salary / stipend (all PDs)"
It's even worse than I thought - they start at $36k and reach $40k later.