Concept explainers
a)
To determine: The labor content.
a)

Explanation of Solution
Given information:
Labor content:
The labor content is total time required to perform all the tasks of by the workers. It is 215 seconds.
The labor content is 215 seconds.
b)
To determine: The cost of direct labor for a toothbrush.
b)

Explanation of Solution
Given information:
Calculation of time per worker:
The time for Worker A is 65 seconds.
The time for Worker B is 35 seconds.
The time for Worker C is 25 seconds.
The time for Worker D is 30 seconds.
The time for Worker E is 60 seconds.
The bottleneck is Worker A with 65 seconds. Therefore, the flow rate will be:
Cost of direct labor:
The cost of direct labor per toothbrush is $1.35.
c)
To determine: The utilization of worker A.
c)

Explanation of Solution
Given information:
Utilization of Worker A:
The time for Worker A is 65 seconds. It is the bottleneck time of the entire process. Therefore, the utilization is 100%.
The utilization of 100%.
d)
To determine: The average labor utilization of the process.
d)

Explanation of Solution
Given information:
Average labor utilization of the process:
The cycle time will be equal to the bottleneck time which is 65 seconds. The average labor utilization will be:
The average labor utilization of 66.15%.
e)
To determine: The Takt time.
e)

Explanation of Solution
Given information:
Demand rate = 40 toothbrushes per hour
Takt time:
The Takt time is 90 second per toothbrush.
f)
To determine: The target manpower.
f)

Explanation of Solution
Given information:
Takt time = 50 seconds
Target manpower
The target manpower is 4.3 workers.
g)
To determine: The capacity of the process after hiring the new worker.
g)

Explanation of Solution
Given information:
New capacity of the process:
The new worker is added to Task 1 and Task 2 as it is the bottleneck of the process. After the addition of the new worker, the bottleneck is Worker E with a total time of 60 seconds. Therefore, the new capacity will be:
The capacity of process is 60 toothbrushes per hour.
h)
To determine: The capacity of the process.
h)

Explanation of Solution
Given information:
New capacity of the process:
The tasks are assigned to minimize the maximum work across the various workers. Task 1 is assigned to Worker A. Tasks 2, 3 is assigned to Worker B. Tasks 4, 5, 6, and 7 is assigned to Worker C. Tasks 8, 9 is assigned to Worker D. Task 10 is assigned to Worker E. The bottleneck time now is Worker 3 with 50 seconds. Therefore, the capacity is:
The capacity of process is 60 toothbrushes per hour.
i)
To determine: The capacity of the process with the new method
i)

Explanation of Solution
Given information:
New capacity of the process:
The capacity of process is 83.7 toothbrushes per hour.
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