You can be self-employed and a business owner, take time off, and still generate revenue.
Neither of these necessarily mean that you are the ONLY one working.
B is not correct because you could be your own boss in both of these situations.
C. is not correct because if you didn't produce anything you wouldn't be in business
D. Is not correct because in both cases you can have other people help you make decisions and be responsible for certain aspects of the business.