I can create a new product, and it's definitely active. When I try to add it to the Standard Price book (also active) it doesn't appear as an option to select. Same for any custom price book - all price books are also active.
I have Salesforce admin profile and (I think) full permissions. Where is my product? What else can I try so it shows up? Is there some other object I should be adding it too? Puzzling me.