The eleven tasks necessary to assemble an MP3 player along with their time (in seconds) and immediate predecessor(s) is given below:
$\begin{array}{ccc}\text { Task } & \text { Time (n minutes) } & \text { Predecessor(s) } \
\text { A } & 40 & \text { none } \
\text { B } & 15 & \text { none } \
\text { C } & 35 & \text { none } \
\text { D } & 12 & \text { A, B } \
\text { E } & 27 & \text { B, C } \
\text { F } & 29 & \text { D } \
\text { G } & 60 & \text { D, E } \
\text { H } & 30 & \text { E } \
\text { I } & 14 & \text { F, G } \
\text { J } & 22 & \text { G, H } \
\text { K } & 43 & \text { I, J }\
\text { Total }&327
\end{array}$ The company wants to produce 600 units in a 9-hour day.
-The minimum number of workstations required is _____.
A) 5
B) 6
C) 7
D) 8

Question

The eleven tasks necessary to assemble an MP3 player along with their time (in seconds) and immediate predecessor(s) is given below:
 $\begin{array}{ccc}\text { Task } & \text { Time (n minutes) } & \text { Predecessor(s) } \
\text { A } & 40 & \text { none } \
\text { B } & 15 & \text { none } \
\text { C } & 35 & \text { none } \
\text { D } & 12 & \text { A, B } \
\text { E } & 27 & \text { B, C } \
\text { F } & 29 & \text { D } \
\text { G } & 60 & \text { D, E } \
\text { H } & 30 & \text { E } \
\text { I } & 14 & \text { F, G } \
\text { J } & 22 & \text { G, H } \
\text { K } & 43 & \text { I, J }\
\text { Total }&327
\end{array}$ The company wants to produce 600 units in a 9-hour day.
-The minimum number of workstations required is _____.
A) 5
B) 6
C) 7
D) 8

Quizplus · Accepted Answer

To find the minimum number of workstations, calculate the cycle time: $ \text{Cycle Time} = \frac{\text{Total Time Available}}{\text{Units Required}} = \frac{9 \times 60 \times 60}{600} = 54 $ seconds. The sum of task times is 327 seconds. Divide the total task time by the cycle time: $ \frac{327}{54} \approx 6.06 $. Therefore, at least 7 workstations are needed.

The Eleven Tasks Necessary to Assemble an MP3 Player Along