A Bank of 10 Machines Requires Regular Periodic Service

question 37

Multiple Choice

A bank of 10 machines requires regular periodic service. Machine running time and service time are both exponential. Machines run for an average of 44 minutes between service requirements, and service time averages six minutes per machine. If operators cost $15 per hour in wages and fringe benefits and machine downtime costs $75 per hour in lost production, what is the optimal number of operators for this bank of machines?

• A)1
• B)2
• C)3
• D)4
• E)5

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Definitions:

Self-fulfilling Prophecy

The process by which a belief or expectation, correct or incorrect, affects an individual's behavior in a way that causes the belief to materialize.

Binary Construction

A conceptual division of elements into two opposing or complementary categories, often used in social and cultural contexts to differentiate and categorize phenomena or identities.

Obesity

A medical condition characterized by excessive body fat that increases the risk of health problems such as cardiovascular disease, diabetes, and certain cancers.

Discrimination

The unjust or prejudicial treatment of different categories of people, especially on the grounds of race, age, or sex.