Final answer:
The authority to make care decisions for Mr. Anderson, who has been declared incompetent, rests with the court-appointed legal guardian.
Step-by-step explanation:
When Mr. Anderson is deemed incompetent and can no longer make decisions about his care, the authority to make those decisions typically falls to the court-appointed legal guardian. This is a person designated by the court to make decisions on behalf of an individual who is unable to do so for themselves. While healthcare providers can give recommendations, family members may have influence, and hospital administrators manage institutional care, it is the legal guardian who has been granted the authority by the court to make decisions regarding care and other personal matters for the incompetent individual.