Suppose That Romeo in Problem 8 Has the Utility Function

question 24

Multiple Choice

Suppose that Romeo in Problem 8 has the utility function U = S⁵_RS²_J and Juliet has the utility function U = S²_RS⁵_J, where S_R is Romeo's spaghetti consumption and S_J is Juliet's. They have 70 units of spaghetti to divide between them.

• A) Romeo and Juliet would never disagree about how to divide the spaghetti.
• B) Romeo would want to give Juliet some spaghetti if he has more than 46 units of spaghetti.
• C) Romeo would want to give Juliet some spaghetti if he had more than 35 units of spaghetti.
• D) Juliet would want to give Romeo some spaghetti if she has more than 48 units.
• E) Juliet would want to give Romeo some spaghetti if she has more than 50 units of spaghetti.

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Definitions:

Face Card

A term used in playing cards to refer to Jacks, Queens, and Kings.

Fair Die

A die that has an equal likelihood of landing on any one of its faces when thrown.

Events

In probability and statistics, an event is a set of outcomes of an experiment or situation to which a probability is assigned.

Disjoint

Sets that have no elements in common; non-overlapping.