While some prefer heading straight up the lift right-of-way or one of the ridges along this route, the switchback trail from just above the lower summit lift terminus isn't a bad way to go for more consistently firm footing. It is fairly simple to find the trail head--just follow the service road above the lower lift building for a couple of switchbacks and look for the trail that proceeds up through a tree-lined ridge immediately to the East (left) of the lift. Some loose scree along this trail but overall an easier way to the top.
When I first skied and climbed Bachelor, it was called Bachelor Butte. Once the ski area grew up and started out-of-state marketing, they decided that wasn't a very glamorous sounding name, so they petitioned and got the government to change the official name to Mount Bachelor.
Interesting, I did not know that. Thanks for the info. A lot of people still call it Bachelor Butte too. Makes more sense now.