We have a Dell 2950 III with 4x4GB of RAM and a single Xeon E5430 processor.
We would like to upgrade with another 16GB of RAM (4x4GB) but can't determine whether we would need to add a second processor to access those 4 additional slots.
With all due respect to Chopper3, I have a bunch of 2950's, albeit with two processors each, and that did not sound right to me. I was curious, so I verified with Dell that the processors can share memory, so you can have all 32GB used by one processor. Of course, your OS needs to be able to handle it too.
I thought the PE-2970 was one that the processors have dedicated memory, and that is clearly reflected in the documentation. http://support.dell.com/support/edocs/systems/pe2970/en/hom/install.htm#wp1156871
Below is the relevant chat.