other than wht is said above - u can use FB ads and try to sell high CTR CPA ads (for example - clickbank) to make good money
You can easily create a fan page but it takes a lot of work to attract targeted people to become fans who then might buy your product. There is no easy way to make money from Facebook.
if you know the science of how to advertise cheap labor on facebook and you sell good stuff, I think certainly profit
Create a fan page, posting your affiliate link on status (you have to be a bit tricky though, not everyone wants to click an ad ) There are other ways I think..
I have a friend who has had some success creating Facebook apps that people like, and then posting links within those apps.
All the things, like creating fan page or a group will take ages for your affiliate business to come up with some kind of sales. Right now, if you want to have any solution, then that is you should be targeting the most number of eyeballs which can be later converted to a sale. To get these eyeballs, you can even start from your own profile page (if you dont have a fan page). Just post any image of your affiliate business with a catchy title and a short content. Then share it with more than 10 of your well-known friends on Facebook. After couple of hours, tag 50 of your friends on the same image you uploaded on your profile wall. By this way you will get more and more number of eyeballs, because every time you share or tag your post with a friend, the post will appear of your friend's facebook homepage. It will even appear on their friend's friend homepage too