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?

---

Definitions:

Premium Price

A pricing strategy where goods or services are sold at a higher price point due to perceived advantages, often related to quality or status.

Bond Quoted

The price or interest rate at which a bond is currently being sold or bought in the market.

Dollar Amount

A numerical monetary value denoted in the currency of the United States.

Interest Earned

The total amount of interest received by a person or entity on investments over a specific period of time.