Hi,
To your OP question, I think there exist many industry jobs for math PhDs. Since you premised that you are interested in applied math not pure math, you can essentially align your industry career path with the subfield in your future doctoral program.
For example, I know a guy who specialized in stochastic processes and inventory control and was employed by Dell as inventory controller. You mentioned doing OR, and I also know an OR PhD who specialized in hazard estimation and risk management and ended up as associate at Goldman Sachs (NYC). You can get a decent industry job if you plan carefully.
However, I echo one of the replies that if you are planning to get an industry job, doing a PhD in applied math not be necessary. One caveat to the two job placements I mentioned is that they are all on a technical side of the industry. If you ever want to climb up the corporate ladder, you will need to compete with MBAs: managerial skills are key. Don't get me wrong, if you look at Pandit from Citi, he got PhD in Finance from CBS. And we all know Finance PhD is, in effect, a combination of applied math, stats, OR, and economics (Note he got MS from Columbia Fu). That said, if you want to side with development and research of products, markets, and the like, getting a job after Math or OR PhD sounds OK. Though my two-cent is that a long-term goal should always be making a leap to managerial positions in a firm.
-LHF