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:

Exchange Rate

The value of one currency for the purpose of conversion to another. It determines how much of one currency can be exchanged for another currency.

Reciprocal

Pertaining to a mutual exchange or relationship where two parties give and take symmetrically.

Functional Currency

The currency of the primary economic environment in which an entity operates and generates cash flows.

Currency

A medium of exchange for goods and services, typically issued by a government.