At a Furniture Factory,tables Must Be Assembled,finished,and Packaged Before They

question 4

Multiple Choice

At a furniture factory,tables must be assembled,finished,and packaged before they can be shipped to stores.Based on past experience,the manager finds that the means and standard deviations (in minutes) of the times for each phase are as shown in the table: $$\begin{array} { l | l | l } \text { Phase } & \text { Mean } & \text { SD } \\\hline \text { Assembly } & 25.4 & 2.6 \\\text { Finishing } & 35.5 & 3.6 \\\text { Packaging } & 14.6 & 1.8\end{array}$$ What are the mean and standard deviation of the total time to prepare a table for shipping? Assume that the times for each phase are independent.

• A)? = 46.03 min,? = 4.79 min
• B)? = 75.5 min,? = 22.96 min
• C)? = 75.5 min,? = 4.79 min
• D)? = 46.03 min,? = 8 min
• E)? = 75.5 min,? = 8 min

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Definitions:

Time Between Service

The period or interval between successive services rendered to customers or maintenance of equipment.

Service Factor

A multiplier used in operational and manufacturing settings to account for potential variability in demand or system overload capacity.

M/M/S

A model used in queueing theory representing a system with multiple servers where arrivals and service times are Poisson distributed and exponentially distributed, respectively.

Average Time

The mean value that represents the central tendency of a set of times, often used to summarize the typical amount of time required for a process.