A Crew of Mechanics at the Highway Department Garage Repair

question 5

Essay

A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 8 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of μ = 11 vehicles per day with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $300 per day. The cost associated with lost productivity from the breakdown is estimated at $150 per vehicle per day (or any fraction thereof). What is the expected cost of this system?

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Definitions:

Biological Indicators

Organisms or components of organisms that are used to assess the health of a natural ecosystem or the presence of pollutants.

Bathyal Zone

A region of the ocean depths ranging from 200 to 2,000 meters below the surface, characterized by its limited light penetration and distinct marine life.

Phytoplankton

Microscopic plant-like organisms that live in aquatic environments, capable of photosynthesis, and form the base of the oceanic food chain.

Aquatic Life Zones

Specific areas in bodies of water, categorized by depth, light penetration, temperature, and other factors, that support various forms of life, including freshwater and marine ecosystems.