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A Department Has 5 Machines That Each Run for an Average

question 15

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A department has 5 machines that each run for an average of 8.4 hours (exponential) before service is required.Service time average is 1.6 hours (exponential).
(A) While running, each machine can produce 120 pieces per hour.With one server, what is the average hourly output actually achieved?
(B) With 2 servers, what is the probability that a machine would be served immediately when it requires service?
(C) If machine downtime cost is $100 per hour per machine, and server time costs $30 per hour, how many servers would be optimal?

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Definitions:

Caring Connections

Relationships or interactions characterized by empathy, kindness, and support, often within a healthcare or community setting.

Quality-Caring Model

A nursing framework that emphasizes the importance of relationship-centered care and the reciprocal influence between nurse behaviors and patient outcomes.

Caring Relationships

Interpersonal interactions that are characterized by empathy, compassion, and support towards the well-being of another.

Daily Work

Routine tasks and responsibilities that an individual undertakes on a regular basis, often associated with their occupation or everyday life.

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