The key term here is assisted suicide. They provide you with a poison that you drink mixed with water, this can also be fed to you in a tube. You ultimately have to be able to drink the poison or open the valve to your tube, they can't do it for you, as this would be illegal under Swiss law.
You have to first be a member of their group and then you need to be assessed at least twice in person for suitability. The whole process takes about 3 months or so. Some lurid stories have given the impression you can merely want to get euthanised one day and you can be on a plane the next. Not so.
Assisted suicide is offered to members who suffer from:
• a disease which will lead to death
(terminal illness), and/or
• an unendurable incapacitating disability, and/or
• unbearable and uncontrollable pain
The 10,500 Swiss francs covers everything, prep, doctor's consultation, funeral and cremation, all the official paperwork.