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An earthquake emits both P waves and S waves that travel at different speeds through the Earth. Suppose a P wave travels at 8000 m/s and an S wave at 4000 m/s. If P waves are received at a seismic station 20.0 s before an S wave arrives, how far is the station from the earthquake center?
Pareto Optimal Allocations
A condition of resource allocation where it's impossible to make any one individual better off without making at least one individual worse off, emphasizing the concept of efficiency in economic distribution without losses.
Edgeworth Box
A model used in economics to show how different allocations of goods or two goods can affect two individuals' utility levels.
Pareto Optimal Allocations
A situation where no reallocation can make someone better off without making someone else worse off, named after economist Vilfredo Pareto.
Utility Function
A mathematical representation of a consumer's preference ordering over a set of goods and services. It quantifies the satisfaction or happiness derived from consuming these goods and services.
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