Use this scenario for the following question(s).
The process design team at a manufacturer has broken an assembly process into eight basic steps, each with a required time, and predecessor as shown in the table. There are 7.5 productive hours available in a day and the manufacturer wishes to produce 400 units. Balance the line by assigning tasks to workstations to fill up as much takt time as possible. Break ties by assigning the longest task first.
$$\begin{array} { | c | c | c | }
\hline \text { Task } & \text { Time } ( \mathrm { sec } ) & \text { Predecessor } \
\hline \text { A } & 45 & \cdots \
\hline \text { B } & 50 & \text { A } \
\hline \text { C } & 20 & \text { A } \
\hline \text { D } & 55 & \text { A } \
\hline \text { E } & 15 & \text { D } \
\hline \text { F } & 65 & \text { D } \
\hline \text { G } & 25 & \text { E } \
\hline \text { H } & 35 & \text { B, C, F, G } \
\hline
\end{array}$$
-Refer to the scenario above. What task(s)should be assigned at the third workstation?
A)B and E
B)D
C)C, E, and G
D)F

Question

Use this scenario for the following question(s).
The process design team at a manufacturer has broken an assembly process into eight basic steps, each with a required time, and predecessor as shown in the table. There are 7.5 productive hours available in a day and the manufacturer wishes to produce 400 units. Balance the line by assigning tasks to workstations to fill up as much takt time as possible. Break ties by assigning the longest task first.
 $$\begin{array} { | c | c | c | } 
\hline \text { Task } & \text { Time } ( \mathrm { sec } ) & \text { Predecessor } \
\hline \text { A } & 45 & \cdots \
\hline \text { B } & 50 & \text { A } \
\hline \text { C } & 20 & \text { A } \
\hline \text { D } & 55 & \text { A } \
\hline \text { E } & 15 & \text { D } \
\hline \text { F } & 65 & \text { D } \
\hline \text { G } & 25 & \text { E } \
\hline \text { H } & 35 & \text { B, C, F, G } \
\hline
\end{array}$$
-Refer to the scenario above. What task(s)should be assigned at the third workstation?
A)B and E
B)D
C)C, E, and G
D)F

Quizplus · Accepted Answer

To balance the line, we need to calculate the takt time, which is the available production time divided by the required production rate. The required production rate is 400 units per day, or 28.8 units per hour (400/7.5).

Next, we need to assign tasks to workstations such that the sum of the task times assigned to each workstation is as close to the takt time as possible without exceeding it.

For the first workstation, we can assign task A (45 seconds). For the second workstation, we can assign tasks B and D (50+55=105 seconds).

This leaves us with 7.5*60-45-105=270 seconds for the third workstation. The longest task available is F (65 seconds), so we can assign task F to the third workstation.

If we were to assign tasks C, E, and G to the third workstation (20+15+25=60 seconds), the total task time for that workstation would only be 60+35=95 seconds, which is much less than the available time. This would create a bottleneck and result in underutilization of the workstations before it. So, C, E, and G should not be assigned to the third workstation.

Therefore, the best choice is D, with a task time of 55 seconds.

Use This Scenario for the Following Question(s) -Refer to the Scenario Above