What would you do and what is your rationale?

I have unfortunately seen similar situations and it is very difficult. Usually we involve the legal department and they can ist. If the physicians, ethicists, lawyers etc. agree that giving blood will not really improve the outcome it can be declared medically futile. This depends on state law and hospital policies. Usually the family comes around after awhile. Sometimes they will slowly request to withdraw treatments but don't want to withdraw everything at once. It can be a long drawn out process.