I've mentioned this before--there is a Harvard Business School case study from the mid '80s on the dishwasher market, from the standpoint of one of the small companies needing to source dishwashers...do you do it from D&M, from GE, from Whirlpool or from WCI. They each had their pros/cons...the case was how do you choose and what do you maximize (margin, penetration, uniqueness, etc).
At the point when GE put in the plastic tub (PermaTuf) line in Louisville, they were suddenly very very competitive in OEM production (hence why you see things like Tappan and Magic Chef labeled GE dishwashers). They could easily undercut Whirlpool (still using porcelain/steel) and provided D&M some real competition. The smaller companies could switch easily when their 3-5 year contracts were up (they didn't have a huge installed base to worry about service for)
Looking backwards, in the mid '80s GE had good refrigeration (but for their compressor issue) and electric cooking capabilities (with efficient plants and good utilization), excellent dishwasher and meh-to-deficient laundry (FilterFlo was getting to end-of-life).
WP was excellent laundry (DD had just come out) and refrigeration, OK dishwasher, and meh-to-deficient cooking.
WCI had meh-most-everything except for the one freezer plant (St. Cloud, MN) which supplied everyone.
Each were trying to broaden their lines and become a "single source provider", while Maytag also wanted to expand but was left with buying piecemeal meh product lines (except for Amana and refrigeration).
RCA was a flanker brand at GE to provide added volume (at plant level) and to keep their name after the RCA brand for audio/video was sold off. Generally was sold through independent appliance stores.
Eureka/Hoover for JCPenney--there wasn't any other full-line producer able to provide a full-line for JCP in the early '60s...likewise for Montgomery Ward.
GE major appliances to JCPenney---they were stuck with whomever would supply them as Sears/Wards/Gambles had sewn up the producers already, so they were stuck with the biggest provider who would work with them. Did them no favors (doubtless their wholesale pricing was disadvantageous as compared with what Sears/Wards etc were getting), except for getting self cleaning (JCPenney called them Radiant Clean) ovens earlier (and superior in performance) to Sears/Wards.
Since JCPenney started their diversification through acquiring General Merchandise in Milwaukee, GE (Hotpoint) made a lot of sense for them to source things from.
Whirlpool bought Birtman at Sears' behest (I believe there was a bankruptcy/near bankruptcy involved) hence entering the vacuum business. Wasn't a ridiculous request on Sears' part---Sears and WP had a long long history, and Sears always had a lot of oversight into their big suppliers' finances.
Frigidaire/Electrolux front loading--as with GE and dishwashers, when Frigidaire decided to go "whole hog" a second time into the front loading market, they had a lot of manufacturing capacity which could be very easily soaked up by using/adding Sears as the channel. I'm sure Sears asked WP what their plans were for getting into front loading washers and had WP had something in the "skunkworks" it might have dissuaded Sears from going with Frigidaire, but WP had a lot of sunk costs in the DD line in Clyde, OH (there's literally a mile-long plant there along the railroad) and wasn't so ready to jettison that investment (where Frigidaire had far less invested in their TL business and had expertise from Sweden). Somewhere on AWORG there was a link to (perhaps another HBS case) from the standpoint of Frigidaire on setting pricing for the new FL line.