A Department Has 5 Machines That Each Run for an Average

question 15

Essay

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:

Tacit Intelligence

The unspoken, practical skill set and knowledge that individuals acquire through personal experience rather than formal education.

Crystallized Intelligence

The ability to use skills, knowledge, and experience, which does not correlate with a person's fluid intelligence but tends to increase with age.

Undergraduate GPA

The cumulative grade point average of a student in an undergraduate program, reflecting their academic performance across all courses.

Accumulated Knowledge

refers to the body of information and understanding one has gathered over time through experience or education.