Contagious Disease

It has become necessary to ration a vaccine for a contagious disease. There is only enough vaccine available to cover 25% of the U.S. population. It is now crucial to determine an appropriate method to ensure coverage for 100% of the U.S. population, but how?

Instructions:

Re-read the statement above and reflect on a possible solution.
Examine the following theories below:
Utilitarianism
Rights-based
Duty-based
Justice-based
Virtue-based
Please answer the following question:
Is there any combination of the above theories or another theory that would guide you to a more ethical solution for distribution and the right order of distribution?
Your post should:
Answer the questions as thoroughly and concisely as possible.
Be sure to reference any works that you utilize in answering the questions