d) Use the longest task time heuristic to balance the production line. e) Summarize the assignments of tasks to workstations on the production line. f) Compute the utilization of the production line.

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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answer Part d, e and f only

A company required 50,000 units of product in working days. The company working hour per day
is 8 hours and their break time is 30 minutes per day. The time to perform each task and the
tasks that must immediately precede are shown below:
Task
Task that must immediately precede
A
B
В
C
DEFI
G
H
I
J
A
B
B
C
D, E
F
G
H
I
Time to perform task
0.30
0.20
0.15
0.10
0.10
0.15
0.05
0.15
0.15
0.05
a) Compute the cycle time.
b) Compute the theoretical minimum number of workstations.
c) Draw a precedence diagram for the production line to show precedence relationships.
d) Use the longest task time heuristic to balance the production line.
e) Summarize the assignments of tasks to workstations on the production line.
f) Compute the utilization of the production line.
Transcribed Image Text:A company required 50,000 units of product in working days. The company working hour per day is 8 hours and their break time is 30 minutes per day. The time to perform each task and the tasks that must immediately precede are shown below: Task Task that must immediately precede A B В C DEFI G H I J A B B C D, E F G H I Time to perform task 0.30 0.20 0.15 0.10 0.10 0.15 0.05 0.15 0.15 0.05 a) Compute the cycle time. b) Compute the theoretical minimum number of workstations. c) Draw a precedence diagram for the production line to show precedence relationships. d) Use the longest task time heuristic to balance the production line. e) Summarize the assignments of tasks to workstations on the production line. f) Compute the utilization of the production line.
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