Euthanasia is not a reasonable answer to suffering because taking one's own life does not solve the problem of suffering but only takes away what was given to you. No matter what amount of suffering, people should not be able to decide when their life ends. Euthanasia is not an answer to suffering because although it seems to "end" suffering for the person it, in reality, doesn't end suffering, but only ends a life. Ending a person's life in order to relieve suffering doesn't make any logical sense. It's doing something terrible simply for what the person thinks will help them. How could ending a person's life be helping them? In any instance of Euthanasia it is either murder or suicide which are both objectively wrong.
Why would it not be a solution to the problem. If the live of the person ends then the suffering that they are facing is also ended. I believe that it is a right that we have as individuals to decide when, where and how we die. I believe that it is more humane because of the fact that instead of going through all the suffering caused by a terminal illness we are able to end what misfortune we have been put into in this life. If it is my life then it is my choice whether or not and when and how i want to end it. If you were going through an unbearable pain for the remaining time that they say you have on earth wouldn't you just want to get it over with an end it. It is selfish to say that a person should not be able to decide when and how they die especially if they are going through such grave circumstances. It causes not only the pain of the patient to go away but it also causes the pain of the family to go away as well. To see their loved one is in a better place than the situation that they were put in on earth is a peaceful and good way to say goodbye to them. It is a logical and uplifting act to choose when and how you die and no one should be denied that right when put in a terrible situation or has a terrible illness.
Their suffering may be ended, but at the cost of someone's life! This is the issue of Euthanasia. At the cost of someone's life they're dying to "relieve" suffering. They don't relieve suffering through euthanasia, when you've been euthanized you are then dead. There was no relief to begin with just a cause of death, which would be the "medicine" that the doctors inject into the patient.
With Euthanasia there is no Autonomy, meaning that there is no choice if you kill yourself, and objectively speaking no one chooses what is right or wrong. What's right and what's wrong is determined by natural law. Also we as human beings need to protect the right to life that we are all given at our conception and this right cannot be taken away, if by saying that you believe that it is your choice whether or not and when you choose to end your life is a right then your definition of a right is confused.
It is in fact not selfish to say a person should not be able to kill themselves but what is selfish is taking away what was given to you. Your life was given to you and to decide to take your own life away is the ultimate act of selfishness and only puts others in more pain than they were before, and a person who decides to kill themselves is the same as a person who decides that Euthanasia is the correct decision. There isn't something correct mentally with the patient that wills them to wish to end their own life. There are no valid reasons to end your own life and there are good things that come from the suffering that we go through in our lives. Things like humility, enlightenment and reparation all come from suffering and are GOODS that come out of going through it.
What about the money saved when someone chooses to end their own life. They are no longer accepting materials that could be used to save someone else who might have a chance at living therefore they are participating in promoting the common good of society. This also affects the family. The family saves money and is not put into a serious situation of debt on top of the already costly funeral and burial that is coming in the future for them. What about unbearable pain, is that not a reason to want to end your suffering through death. If so many people choose to end their lives to alleviate suffering then how could it possibly be wrong.
The answer to your point about the money saved is simply that human life has no value on it. The human life is priceless and there's no amount of money that you could put on it. In this case you are right, but instead of using Euthanasia to end your life then the patient could just accept a natural death, natural death is definitely the cheapest way to die either way. No matter the amount of pain choosing your own death is not the right answer and it also doesn't matter if many people do it. If everyone was jumping off of a bridge for no reason at all would you do it too? Just because everyone is doing it doesn't make it right and certainly doesn't justify it.