The nine tasks necessary to assemble a vacuum cleaner are listed below. The time to perform each task and the tasks that must immediately precede are also listed. 300 vacuums are needed per hour and 50 minutes per hour are productive.
$$\begin{array} { c c c }
\text { Task } & \text { Thime in minutes) } & \text { Predecessars } \
\text { A } & .15 & \text { none } \
\text { B } & .06 & \text { A } \
\text { C } & .05 & \text { B } \
\text { D } & .12 & \text { B } \
\text { E } & .09 & \text { B } \
\text { F } & .16 & \text { B } \
\text { G } & .08 & \text { C,D,E } \
\text { H } & .06 & \text { G,F } \
\text { I } & .05 & \mathrm { H }
\end{array}$$
a. Compute the cycle time per unit in minutes.
b. Compute the minimum number of workstations required.
c. Use the longest-task-time heuristic to balance the production line.
d. Compute the efficiency of the assembly line.

Question

The nine tasks necessary to assemble a vacuum cleaner are listed below. The time to perform each task and the tasks that must immediately precede are also listed. 300 vacuums are needed per hour and 50 minutes per hour are productive.
 $$\begin{array} { c c c } 
\text { Task } & \text { Thime in minutes) } & \text { Predecessars } \
\text { A } & .15 & \text { none } \
\text { B } & .06 & \text { A } \
\text { C } & .05 & \text { B } \
\text { D } & .12 & \text { B } \
\text { E } & .09 & \text { B } \
\text { F } & .16 & \text { B } \
\text { G } & .08 & \text { C,D,E } \
\text { H } & .06 & \text { G,F } \
\text { I } & .05 & \mathrm { H }
\end{array}$$ 
a. Compute the cycle time per unit in minutes.
b. Compute the minimum number of workstations required.
c. Use the longest-task-time heuristic to balance the production line.
d. Compute the efficiency of the assembly line.

Quizplus · Accepted Answer

The Answer of The nine tasks necessary to assemble a vacuum cleaner are listed below. The time to perform each task and the tasks that must immediately precede are also listed. 300 vacuums are needed per hour and 50 minutes per hour are productive.
 $$\begin{array} { c c c } 
\text { Task } & \text { Thime in minutes) } & \text { Predecessars } \
\text { A } & .15 & \text { none } \
\text { B } & .06 & \text { A } \
\text { C } & .05 & \text { B } \
\text { D } & .12 & \text { B } \
\text { E } & .09 & \text { B } \
\text { F } & .16 & \text { B } \
\text { G } & .08 & \text { C,D,E } \
\text { H } & .06 & \text { G,F } \
\text { I } & .05 & \mathrm { H }
\end{array}$$ 
a. Compute the cycle time per unit in minutes.
b. Compute the minimum number of workstations required.
c. Use the longest-task-time heuristic to balance the production line.
d. Compute the efficiency of the assembly line.

The Nine Tasks Necessary to Assemble a Vacuum Cleaner Are