Upgrading PC

[Alzuule]

So how important is the GPU for multiboxing eve?
Im definitely upgrading to 16 gb ram, but im not sure wether to upgrade CPU or GPU first. I dont really play any other games then eve, in which im starting to multibox more and more and might be looking to add accounts when i get the isk, so right now im looking to know if i would run into a bottleneck with the CPU or GPU first when upping the amount of accounts run. Also might add that i run the accounts for wormhole pvp and pve, not mining so random freezing and what not due to perfomance issues are not something i want to deal with
At most i would probably be running 10 or 12 accounts.