The ideal firm size is the theoretically most competitive size for any company, in a given industry, at a given time; which should ideally correspond with the highest possible per-unit profit.
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If only diseconomies of scale were considered, then the ideal firm size would be one worker. However, economies of scale also apply, which state that large firms can have lower per-unit costs due to buying at bulk discounts (components, insurance, real estate, advertising, etc.) and can also limit competition by buying out competitors, setting proprietary industry standards (like Microsoft Windows), etc. If only these "economies of scale" applied, then the ideal firm size would be infinitely large. However, since both apply, the firm must not be too small or too large, to be an ideal competitor.
The "diseconomies of scale" do not tend to vary widely by industry, but "economies of scale" do. An auto maker can buy millions of tons of steel for use in forming engine blocks and warehouse it indefinitely, if this will get a better price. A florist can't buy millions of tons of fresh flowers to sell, or they will wither before they are sold. This results in disparate interpretations of economies of scales for different types of organizations.
Note that the ideal size of a firm may also change over time, as industry and market conditions change. If a supplier finds a way to manufacture small batches of a major component at prices comparable to the large batch price, this will help small firms more than large firms. The same "diseconomies of scale" still apply, however, so now the ideal firm size will be smaller.
Also note that the basis of an economy will affect the ideal firm size. An agricultural society will tend to have small firms, as agriculture has a limited economy of scale (especially in the absence of refrigeration and other storage methods that allow for long term storage of large batches). An industrial society will tend to have large firms, as industry has a substantial economy of scale. A service-based economy will again favor smaller firms, as services have a limited economy of scale. There will, of course, be exceptions, such as Microsoft, which is a huge services company. This success may be attributed to getting a "jump start" on the competition with the Windows Operating System. One could predict that as Linux and other competing operating systems gain market share, this initial advantage will disappear, and the ideal firm size law will once again apply, causing Microsoft to contract, as industrial giants like GM have in the past.