A Bank of 10 Machines Requires Regular Periodic Service

question 53

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. What is the probability that a machine will have to wait for service with two operators?

• A).654
• B).090
• C).346
• D).910
• E).016

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Definitions:

Standard Hours

The set amount of time expected to complete a job or task, often used for planning and assessing the efficiency of operations.

Volume Variance

The difference between the budgeted volume of production and the actual volume, which affects the fixed overhead costs.

Direct Labor-Hours

A measure of the total hours worked by employees who are directly involved in the production process of a company's products or services.

Fixed Manufacturing Overhead

The portion of manufacturing overhead costs that do not vary with the level of production or sales, such as factory rent.