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:

Naturalistic Observation

A research method involving observing subjects in their natural environment without interference.

Adult Participants

Individuals over the age of majority, often involved in studies, research, or activities requiring legal adulthood.

Survey

A descriptive research method in which researchers use interviews and/or questionnaires to gather information about the attitudes, beliefs, experiences, or behaviors of a group of people.

Naturalistic Observation

A study approach where participants are monitored in their usual environment with no alterations made by the researcher.