Greetings!
It's difficult for me to know what your teacher meant by "classification" of TV commercials. There are many ways they could be classified. Certainly, your categories are one way. One could also classify them into products vs. services; categories of products or services (e.g., breakfast cereals, auto insurance, network programs); humorous or non-humorous; those geared toward specific age markets (youth, seniors, etc.). To fill in the blank in your sentence, you could simply say "TV commercials can be classified into those produced by for-profit companies, non-profit organizations and government-sponsored ads."
I hope this helps!
Thanks,
Sarah, EssayForum.com
Sarah, EssayForum.com