Running tires at max pressure doesn’t make them faster. It just makes them ride more harshly. Bicycle Quarterly has run some comprehensive tests on various tires to validate this and in my own experience it has proven true as well. I find myself explaining this over and over again in various online forums since it goes against commonly held cycling dogma. Happily Jan Heine at Bicycle Quarterly has posted an article summarizing how to determine the correct pressure for your tires. Now I can just post a link to the article and save my fingers the typing.
The only thing I would add to Jan’s article is that I find there is no need to get super precise about this process and generally just eyeball the vertical drop. As long as I get it in the ballpark I don’t notice a major impact either way. Since I’m lazy I tend to go for slightly less then optimal vertical drop when inflating my tires. I’m not going to mess with them until they have lost a lot of air so my tires will reach the optimal pressure sooner or later and when they get noticeably soft I’ll repeat the process.