What's the difference in the "like" relationship between a profile and a Page?

a$.$

A profile is used by a business, and a page is used by a newsgroup.

b$.$

A Page is used by a business, and it can accept or reject like requests.

c$.$

Only businesses have Pages, and individuals are auto enrolled in them via likes.

d$.$

A "profile" must "accept" a friend request, whereas a Page automatically accepts a "like."