Consoles them selves are not designed to make money (can often infact lose money) but the games / services that make all of the £££
Thing is how ever much we can speculate, we are never going to get the true BoM and margins which AMD make on those consoles.
To say nothing of the opportunity costs as AMD could use those scares TSMC 7nm wafers for just about any other product and make far better margins.
What we do know is the die size which is 308mm² (so about 17.5mm by 17.6mm) for the PS5.
And we have the last public density defect rate which TSMC made public for 7nm (a good few years ago now) which was 0.09 per cm² (yes, I'd think defects would be in a SI unit but cm is what the wafer calculator uses too).
https://www.anandtech.com/show/16028/better-yield-on-5nm-than-7nm-tsmc-update-on-defect-rates-for-n5
We can take those figures into a die size calculator:
https://caly-technologies.com/die-yield-calculator/
which gives us something like this:
So 133 good dies. There should be some redundancy in the design, but on the other hand Sony were meant to have yield issues possibly because they pushed the clocks to the max just before launch once they realised that Microsoft had gone for a bigger SOC with more CUs.
It is possible that usable dies are far lower than that.
Then the next question is how much does a TSMC 7nm wafer cost?
With the crazy demand, I would expect to still be around $10k even for agreed orders, more for additional last minute (how quickly can we get more) orders.
The raw TSMC cost @ $10k is only about $75; at $15k it would be more like $113.
Then it needs to tested, packed etc. say $15.And we would think that AMD would make a minimum margin on that of 40% (which is extremely low for silicon).
All the other parts cost too. And even if Sony had obtained the best deals ever, 16GB of GDDR6 and fast PCIe 4.0 NVMe drives don't come cheap.
After all that: we still don't know the full story.
What we do know is that a similar sized GPU Navi 22 (RX 6700 XT),
should cost a lot less to make than a PS5. No case, no power supply, no NVMe drive, only 12GB of GDDR6, etc.
And it
could be sold for less than the PS5. But currently everything AMD can get from TSMC sells out, and while they may be obliged to make console chips (would love to read the details of the deal Sony and MS have with AMD, but we'll never find out), given the choice AMD will make far more profit selling Zen3 with those wafers they have left.
Pitchforks:
Don't just reserve them for miners;
give a though to console buyers too!