I have noticed that there are many different "theories" about how much to inflate tires. Ones I have seen:
1) Go by the door sticker
2) Go by the max pressure rating on the tire (ouch)
3) Go by the weight of the axles and the tire maker's corresponding recommendation (which is nothing more than the amount of pressure that will best support a given weight).
#1, the door sticker, to me, is imprecise. It's Chinook's (or any other RV maker's) best guess at how much your rig might weigh when they are done building it and you are done loading it. But they don't really know (and indeed, even an individual rig might weigh more sometimes and less at other times).
#2, is the maximum allowable pressure, and would only be appropriate if one's rig was so heavy that all the tires were at their very max capacity (we are far, far from that, which is good!)
#3 is customized for what "your" rig weighs, and what the tire size you run needs to have in it to support that weight best. I don't know how you can do much better than that. You definitely don't want to run lower, and there is no reason to run a lot higher (although I run slightly higher, especially when towing).
To accomplish #3, you just go to a scale (see below). Once you have the total weight for the front axle, and the total weight for the rear axle, you take that number and divide it by the number of tires on that axle (so divide by two for front, and by four for rear), and then match up that number to one of the charts (I posted some above). Voila, there is the specific recommended tire pressure for your exact weight and tire size, not a generic guess.
More on scales:
Both Washington and Oregon are fantastic for this as you can go to any public (i.e. highway) scale that is not open for trucks/business, and the scale will be on and is free for the public to use*. So convenient and kudos to them for doing it! I like these as I've usually got the scale to myself, and can take my time, putz around with the trailer, if I'm towing, etc. Some scales are even arranged such that you can do right or left sides separately. Other states may be similar, but I only know about Washington and Oregon.
The way you use these "free" (taxpayer supported) scales in WA and OR is just look to see that they are not open for business (if they are I leave them for the folks who are busy/working). Then you just pull in. No-one will generally be there, but they leave the scales on and working and it's perfectly legit to use them. The ones I've been on in Washington (mostly one on Hwy 20 east of Anacortes, but also a couple of others) have a small booth next to the scale. You pull up and you will see a "separate" concrete platform (really just a level, cut out square) in the road, usually near the booth. Whatever is on that platform when you stop is what will be weighed. The number will usually show on a small display that showing out the window of the booth (you can see it from outside, although you might have to walk over to the window).
The ones I've been on in Oregon (many different ones, all on non-interstate highways) have been smaller ones. There is often no booth. You pull in the same as the others, and they have the same concrete square. But the scale numbers will show on an overhead display that's on a pole or support above and ahead of you. These are really handy as the numbers are easy to see right from the driver's seat. They weigh in around 50# increments, but seem to be accurate even for our small rigs as I have used several different ones within a few days of each other and they agreed. One time I stopped at one almost empty of fuel, then filled up in the next town and decided to run back just to see what difference a full vs. empty fuel tank made (previously I had always weighed with a full tank). I really like how you can take your time with no-one to rush you. You can write things down, re-weigh, or unhitch a trailer to check tongue weight, etc.
The CAT scales, on the other hand, are usually busy, with working truckers waiting in line. Also the call button is like 20' off the ground

The cost is around $10 and you pull off the scale after weighing, then go inside to where the truckers pay for gas and pay your fee, then they give you a slip with the numbers on it.