A Crew of Mechanics at the Highway Department Garage Repair

question 24

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:

Flexible Budget

A flexible budget adjusts according to the actual levels of activity experienced, allowing for more accurate comparisons of budgeted to actual performance.

Static Budget

A budget that is set for a specific level of activity and does not change or adjust with the actual level of activity achieved.

Fixed Manufacturing Overhead

The set costs involved in producing a product that do not change with the level of production, such as rent, salaries, and utilities.

Master Budget

A comprehensive financial plan comprising various individual budgets covering all facets of an organization's operations.