Will it work?

Solution
The mini tower should support a 1050 physically, yes.

There's a x16 slot, and support for full-height cards - and can provide the full 75W via the PCIe slot.
https://www.dell.com/downloads/global/products/optix/en/optiplex-390-tech-guide.pdf

Power requirements could be a concern though, I can't find too much on the PSUs. But the mini tower should be "265W" with 17A on the 12V rail (204W)

That was when new. Most of the CPUs available were 95W, so you would probably be fine

Barty1884

Retired Moderator
The mini tower should support a 1050 physically, yes.

There's a x16 slot, and support for full-height cards - and can provide the full 75W via the PCIe slot.
https://www.dell.com/downloads/global/products/optix/en/optiplex-390-tech-guide.pdf

Power requirements could be a concern though, I can't find too much on the PSUs. But the mini tower should be "265W" with 17A on the 12V rail (204W)

That was when new. Most of the CPUs available were 95W, so you would probably be fine
 
Solution