If you're a successful business, the temptation to broaden your appeal, by offering new goods and services, often becomes overwhelming. I remember the days when Boots was just a chemist, and Tesco just a supermarket. A strange affliction seems to come over people on social media too. They want to respond to every request, offer their services to anyone who asks, and continually add courses to their training portfolios.
The thing is, people like simplicity. If they come to your Facebook page and can't figure out exactly what your business is, they will go somewhere else. That's why I am always amazed at sole traders (who often us the giveaway tag "....and associates") who offer a bewildering range of services, most of which they probably never deliver.
If you want to run a different business, set up a different page and profile. It's easy and it's cheap. By all means link your pages together. Don't offer a smörgåsbord of products unless you're a Swedish delicatessen.