Most copies of Windows are configured, tested, pre-installed, locked to a single PC (not transferrable), and supported by PC manufacturers. They get it at discounted rates, which typically range from $0 to about $45. That's cheap if you think of it as $1 per month over 4 years.
PC manufacturers typically add "crapware" to consumer PCs. These are programs that they get paid to distribute (much like websites that collect $1 if they foist Chrome or the Google Toolbar on you). With luck, they can get the cost of Windows down to $0. They can also get extra discounts or even cash support for advertising from Microsoft and/or Intel for making certain statements, eg recommending Windows or playing Intel's bongs in a TV advert.
In some cases -- for example, if enough users subscribe to the bundled AV software -- the charge for Windows turns negative, ie they make a profit. With a really efficient OEM, the consumer may pay less than $0 for the pre-installed copy of Windows (other costs being hidden).
Since you can buy Windows laptops for £150/$199, the suppliers are clearly not paying $120 or more for Windows.
In my country (Romania) the laptops with Windows are easily $70 more expensive than those without Windows. I know this because every time I'm looking to buy a laptop I'm doing my research and end up amazed by the difference, given all the crapware they come with, which as you are saying, should subsidize the price.
But I would have thought Acer and Asus would be competitive, because they're global suppliers....
Windows 8.1 with Bing has been free on devices with smaller than 10-inch screens
The actual deal was not free: you paid $10 for it, and then Microsoft gave you $10 for setting the default search engine to Bing.
So, according to Microsoft, it was not "free" it was "zero paid".
The US Justice Department forced Microsoft to stop offering special deals on Windows so all the top suppliers paid the same price (1). I assume that's lifted now that Microsoft is no longer closely monitored by the DoJ. Anyone know?
(1) Which seemed to have the (presumably) unintended effect of pushing up the average price of Windows and increasing Microsoft's profits.