Many of the most popular personal computers and video game consoles of the 1970s and 1980s, including those made by Commodore, Apple, and Atari, used the 6502 CPU (or some close relative, such as the 6507 or 6510). These processors were manufactured by MOS Technology, a company that was owned and operated by Commodore from 1976 to 1994.
I am curious as to why Commodore deigned to sell CPUs to its very fiercest competitors. For example, in the midst of the intense sales rivalry between the Commodore 64, the Apple II, and the Atari XL, would it not have made better business sense for Commodore to take its microprocessors off the market, pulling the rug out from under its competitors and driving consumers to its own computers?
I can think of a number of possible explanations. For example, perhaps Commodore was making more money off its 65xx sales to Apple and Atari than it was losing to them in the home computer wars. Or maybe Apple and Atari had sales agreements with MOS Technology that predated its acquisition by Commodore and that couldn't be renegotiated. Or maybe Commodore was convinced that its competitors could quickly replace their MOS chips with clones. I'm not sure which of these explanations, if any, may be correct. Is there any documented evidence one way or another?