[ksec]

>My understanding is that they don't have the manufacturing capacity to ship this many processors, even if data centre operators wanted to buy them.

That is the current situation as they Fabbed on 14nm with Global Foundry, together with their GPU and APU. So AMD is completing against itself on capacity. Once they moved off GF to TSMC with 7nm Zen 2, things should [1] hopefully be a lot better.

[1] That is assuming the yields are good, and I/O chip's production will not let down by who ever is fabbing it. Current guess it would still be Global Foundry for IO.