Hi Cherry and Happy New Year!!
It's a tough one isn't it.. one of those "how long is a piece of string" questions too.
Well you seem to suggest in your OP that demand is well outstripping supply, and if that's the case then I think you have good reason to at least give a raise in prices a go. After all, if after a couple of months you are not making what you think you should, you can always lower your prices again.
I raised my prices before and did find that it increased my business. However I raised mine from being low-average to average for my area - going from average to high may be different.
Good luck with it
H xx