The table depicts a production line that has been balanced with a takt time of 2 minutes. What is the percent idle time of this balance? $$\begin{array} { | l | c | c | c | c | c | c | }
\hline \text { Workstation } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Task } & \mathrm { A } , \mathrm { B } & \mathrm { C } & \mathrm { D } , \mathrm { E } , \mathrm { F } & \mathrm { G } , \mathrm { H } & \mathrm { I } & \mathrm { J } , \mathrm { K } , \mathrm { L } \
\hline \text { Time } ( \mathrm { min } ) & 1,1 & 1.8 & 1,0.5,0.4 & 0.9,0.8 & 1.8 & 0.5,0.5,0.6 \
\hline
\end{array}$$
A)5%
B)10%
C)15%
D)Cannot be determined from the information provided.

Question

The table depicts a production line that has been balanced with a takt time of 2 minutes. What is the percent idle time of this balance? $$\begin{array} { | l | c | c | c | c | c | c | } 
\hline \text { Workstation } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Task } & \mathrm { A } , \mathrm { B } & \mathrm { C } & \mathrm { D } , \mathrm { E } , \mathrm { F } & \mathrm { G } , \mathrm { H } & \mathrm { I } & \mathrm { J } , \mathrm { K } , \mathrm { L } \
\hline \text { Time } ( \mathrm { min } ) & 1,1 & 1.8 & 1,0.5,0.4 & 0.9,0.8 & 1.8 & 0.5,0.5,0.6 \
\hline
\end{array}$$
A)5%
B)10%
C)15%
D)Cannot be determined from the information provided.

Quizplus · Accepted Answer

To calculate the percent idle time, we need to first calculate the cycle time of the production line, which is the sum of the task times for all workstations. 
Cycle time = 1 + 1 + 1.8 + 1 + 0.9 + 0.8 + 1.8 + 0.5 + 0.5 + 0.6 = 9.9 minutes 
 
The percent idle time can then be calculated as: 
Percent idle time = (cycle time - total work time) / cycle time x 100% 
 
Total work time = sum of all task times 
Total work time = 1 + 1 + 1.8 + 1 + 0.9 + 0.8 + 1.8 + 0.5 + 0.5 + 0.6 = 9.9 minutes 
 
Percent idle time = (9.9 - 2) / 9.9 x 100% 
Percent idle time = 78.78% 
 
Therefore, the percent idle time of this balance is 10%.

The Table Depicts a Production Line That Has Been Balanced