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 is the takt time?
A)53.3 seconds
B)67.5 seconds
C)75.8 seconds
D)90 seconds

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 is the takt time?
A)53.3 seconds
B)67.5 seconds
C)75.8 seconds
D)90 seconds

Quizplus · Accepted Answer

To calculate the takt time, we need to divide the total available time by the desired production rate. Total available time can be calculated by multiplying the number of productive hours by 3600. 
Total available time = 7.5 x 3600 = 27,000 seconds 
Desired production rate = 400 units 
Takt time = Total available time/Desired production rate 
Takt time = 27,000/400 = 67.5 seconds.

Now, we need to assign tasks to workstations to fill up as much takt time as possible. We start by finding the longest task, which is task F with a duration of 65 seconds. We assign task F to workstation 1. 
Task F = 65 seconds -> Workstation 1 
Task D = 55 seconds -> Workstation 2 
Task B = 50 seconds -> Workstation 3 
Task A = 45 seconds -> Workstation 4 
Task H = 35 seconds -> Workstation 5 
Task C = 20 seconds -> Workstation 6 
Task E = 15 seconds -> Workstation 7 
Task G = 25 seconds -> Workstation 8

By assigning tasks in this manner, we have ensured that each workstation is busy for at least 67.5 seconds, which is the takt time.

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