40% definitely. A123 released a test report showing a 100,000 cycle life using a 50% DOD with a conservative max charge with one of their newer cells. Yes charge at work, and ideally trim that max charge down, or use a timer. If given the option I'd always want my bikes near full any time I get on them. The only exception was while I was running a really big pack and only needed to charge once or twice a week.
A bigger benefit of charging at work, is the extra freedom of transportation it gives you in case you want to stop somewhere else on the way home, go a different route, whatever. Be sure to tell or show your boss how little electricity you are using, so he doesn't think you're getting one over on him. Also, tell him about the tax credit related to biking facilities at work, so the company can come out ahead. Be sure to get yourself, or better, have the boss use some of that $20/mo to get a charger to keep at work. No use carrying around a charger unless you're going out for a long ride.