CPUs are apparently not a low margin businesses - Intel who makes ridiculous amounts of money despite spend billions of USD on their fabs,and various billions on weird purchases,etc. Intel still has higher margins than AMD despite having to sell their 14NM+++++++++++++++++++++++ CPUs for less and less money.
Its most likely even a £250 CPU is higher margin than people think. For one thing its only 70MM2 of 7NM silicon with very high yields. They are also salvaged parts,ie,lower clocking chiplets with defective cores. Then consider that the same chiplets will be found in Epyc/Threadripper so the parts which filter down to that level are really "poor quality" in comparison. The 7NM APUs are 150MM2~180MM2 and are found in £350~£400 desktops and £400~£500 laptops. The consoles are somewhat different - the parts have some redundancy built in,but anything with sufficient defects is unusuable. With GPUs,there is loads of salvage SKUs to take up faulty parts. With consoles that doesn't really exist.To put it in context,the console APUs are around 300MM2~360MM2 in size. These are around the same size as a GPU in the RX6700XT or RTX3070TI. AMD due to shortages has lost dGPU sales relative to Nvidia!
Now look at their last financials. AMD made $485M on $2100M of computing and graphics sales(23%). They made $277M on $1345M(20%) of semi-custom and enterprise sales. Yet AMD in 9 months has almost doubled its enterprise sales. So if you take enterprise sales out of it,which are very high margins,its quite clear even with a huge increase in semi-custom consoles sales/licensing its lower margin than their client side of the business.
Plus Intel makes a ton of money from OEM sales. Nvidia made around $5 billion. Half of that was from "gaming" GPUs,and they still ship significant volumes of older 12NM/14NM parts. At least 14 million consoles have sold over two quarters(in Q4 2019 they sold only 2 million GPUs). Yet despite this computing and graphics has made $4 billion in revenue with $1.05 billion in income,yet semi-custom and enterprise made $2.6 billion and $520 million in income. There is a reason why AMD lumped in enterprise and semi-custom into one segment,because it hides the relatively low margins console contracts make relative to enterprise,and client CPU/GPU sales.Its why Nvidia and MS fell out,as MS pushed hard on Nvidia
WRT to costs.
AMD needs to balance the different parts of the business,,they have potentially left a ton of revenue on the side,if now they have to leave whole profitable market segments,especially during a pandemic which drove forward a lot of PC purchases. If they didn't need to abandon parts of their business,then it wouldn't be an issue. I really hope AMD finds a way to get more supply to its PC business. Sadly its giving Intel and Nvidia more of respite than they deserve,to come back later when they are stronger.