Per Wikipedia:

A company is a legal entity representing an association of legal persons with a shared objective, such as generating profit or benefiting society.

"Company" is a vague almost meaningless term, like "animal."

The Linux Foundation is a 501(c)6 non-profit corporation. Americans are more likely to be familiar with 501(c)3, which covers charity organizations, such as the American Red Cross and St. Judes Children's Research Hospital. 501(c)6 covers trade associations, like the American Medical Association, the American Bar Association, the National Association of Realtors and the US Chamber of Commerce.

As a trade association, the Linux Foundation is not itself a for-profit business, but they have a lot to do with for-profit businesses. Maintaining the world's most popular kernel is chief among them.