Use the Simplex Method for Solving Nonstandard Problems to solve the linear programming problem. 
Definitions:
Legal Obligation
A duty enforceable by law, requiring a person or organization to perform or refrain from performing a certain action.
Basic Necessities
Essential items and services required for individuals to maintain an adequate standard of living, such as food, shelter, and healthcare.
John Rawls
An American political philosopher known for his theory of justice as fairness, which includes principles of liberty and equality that govern the basic structure of society.
Distributional Justice
The ethical concept concerning the fair allocation of resources among diverse members of a community.
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