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Your Roommate Wants You to Be Happy, but Not Too

question 9

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Your roommate wants you to be happy, but not too happy, which would make your roommate jealous. If you have 0 utils, your roommate feels bad for you and has 0 utils. For the 1st 6 utils you gain, your roommate gains 1 util for every 2 that you gain. After that, more utils for you make your roommate resentful and less happy. Your roommate losses 1 util for every 2 utils you gain beyond 6. Draw a utility distribution curve by plotting the relationships described above. Label the points representing the Rawlsian, utilitarian, and egalitarian solutions "R," "U," and "E," respectively. The dotted 45-degree line and numbers are provided as guides that you might find useful. Your roommate wants you to be happy, but not too happy, which would make your roommate jealous. If you have 0 utils, your roommate feels bad for you and has 0 utils. For the 1<sup>st</sup> 6 utils you gain, your roommate gains 1 util for every 2 that you gain. After that, more utils for you make your roommate resentful and less happy. Your roommate losses 1 util for every 2 utils you gain beyond 6. Draw a utility distribution curve by plotting the relationships described above. Label the points representing the Rawlsian, utilitarian, and egalitarian solutions  R,   U,  and  E,  respectively. The dotted 45-degree line and numbers are provided as guides that you might find useful.


Definitions:

Conduct Water

The process by which water is transported throughout plants, particularly from roots to leaves, through structures like xylem vessels.

Minerals

Naturally occurring, inorganic substances with a definite chemical composition and crystalline structure.

Charophytes

A group of green algae thought to be the closest relatives of land plants.

Probable Ancestors

The most likely predecessors or early forms of living organisms from which others have descended.

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