Do you know what kind of razor Occam used?

DUH  Occam Razors, of course.  Shick put him out of business.

I do love his razor ... it cuts to the quick

Most likely a straight razor:

Or he went every morning to a barber who used one of those (Yep, people really did that once)

cut throat as applied by his barber every Wednesday morning around 11am

Yup, I am certain now:

Pronounced cheekbones are apt to make a straight razor cut instead of scrape

I use the Gillette Fusion Powerball.  

An electric one, if I remember correctly.