A Facility Is Trying to Set Up an Assembly Line

question 68

Essay

A facility is trying to set up an assembly line, and has identified the various tasks, and their relationship to each other, as shown in the following table. They wish to produce 600 units per day, working two 8-hour shifts.
$$\begin{array} { | c | c | c | } \hline \text { Task } & \text { Preceding Task } & \begin{array} { c } \text { Time to perform } \\\text { (sec.) }\end{array} \\\hline \text { A } & - - & 20 \\\hline \text { B } & - - & 30 \\\hline \text { C } & - - & 25 \\\hline \text { D } & - - & 10 \\\hline \text { E } & \text { A } & 55 \\\hline \text { F } & \text { D, B, C } & 30 \\\hline \text { G } & \text { E } & 25 \\\hline \text { H } & \text { F, G } & 40 \\\hline\end{array}$$ a. Draw a network diagram of precedence relationships.
b. Compute the required cycle time per unit in seconds.
c. Compute the minimum number of workstations required to produce 600 units per day.
d. Balance this line using longest processing time.
e. What is the efficiency of the line obtained in part d?

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Definitions:

Federal Government

The national government of a federation that holds the authority over the entire nation, responsible for national defense, foreign policy, and federal laws.

Depression

An intense and extended decrease in economic activity, marked by substantial reductions in Gross Domestic Product (GDP), elevated unemployment rates, and deflation.

1920s

A decade marked by significant social, economic, and cultural changes, including the Roaring Twenties and the beginnings of the Great Depression.

National Output

The total value of all goods and services produced by a country over a specific time period.