Hi Tim, I use Beer's quite extensively, and often use a batch of working solution over several days (up to a week in a couple of cases). In between sessions I store it in glass bottles. It always has plenty of activity when I do dispose of it, but I don't fancy keeping it for another week just to use it close to exhaustion. So far I have not noticed any quantitative variation in tone for prints made using older developer.
As to determining exhaustion of the developer, I use factorial development. I watch for the image coming up, and when I see the first tone in the print I make a note of how long it took to appear. I then divide my total development time by the time it took the first tone to develop, and that gives me my development factor. Say I am developing for 120 seconds, and the first tone appears at 30 seconds, then my development factor is 120/30 = 4.
Then for each subsequent print, I measure how long it takes the first tone to appear, and multiply that by my factor to get my overall development time. Say toward the end of a session the first tone is taking 40 seconds to appear, my total development time will be 40x4 = 160 seconds. As the developer exhausts, the time for the appearance of the first tone will take longer and longer.
Personally, I have never had a batch of Beer's even approach exhaustion while printing, but generally discard it when the time it takes a first tone to appear is around 1.5 times my original (ie. in my example, when the time for the first tone goes much above 45 seconds, I would make fresh for my next printing session). I probably could use it for somewhat longer.