Peter, John, and James are discussing how to share three apples and three oranges. Which of the following statements regarding Pareto efficient allocations is correct?

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Understand the Problem

The question is asking which of the provided statements about Pareto efficient allocations related to the sharing of apples and oranges among Peter, John, and James is correct. This involves concepts from economics, particularly related to utility and efficiency in resource allocation.

Answer

Assuming that at least one of them likes both apples and oranges, a Pareto efficient allocation may not exist.

Assuming that at least one of them likes both apples and oranges, a Pareto efficient allocation may not exist. This statement is correct based on the provided information.

Answer for screen readers

Assuming that at least one of them likes both apples and oranges, a Pareto efficient allocation may not exist. This statement is correct based on the provided information.

More Information

A Pareto efficient allocation may not be possible if preferences cannot be satisfied without making someone else worse off. Preferences of liking both apples and oranges could lead to situations where fairness and efficiency are difficult to achieve simultaneously.

Tips

Assume all preferences and combinations, as one assumption might lead to different conclusions about efficiency.

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