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Suppose That the Average Time Before Breakdown Is Normally Distributed

question 28

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Suppose that the average time before breakdown is normally distributed with a mean of 2.5 weeks and a standard deviation of .4 weeks. If breakdowns cost an average of $1,200 and preventive maintenance costs $800, what is the optimal maintenance interval?


Definitions:

Saturn

The second-largest planet in the solar system; the sixth planet outward from the Sun.

Outer Planets

The planets in the Solar System located beyond the asteroid belt, including Jupiter, Saturn, Uranus, and Neptune, characterized by their large sizes and gaseous compositions.

Jupiter

The largest planet in our solar system, known for its prominent storms including the Great Red Spot, and having a composition dominated by hydrogen and helium.

Mars

Fourth planet out from the Sun.

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