The operations manager of an instruments company is balancing an assembly line. The companyneeds to build 96 instruments per 24-hour day. The assembly line activities are:Task Time (min)PredecessorA.3.None6.NoneA.А, ВВE4HD, E1H.6.E4G, I, J a. Draw the precedence diagram.b. If the daily (24-hour) production rate is 96 units, what is the greatest possible cycle time?c. If the cycle time after allowances is given as 10 minutes, what is the daily (24-hour) produc-tion rate?d. With a 10-minute cycle time, what is the theoretical minimum number of stations with whichthe line can be balanced?e. With a 10-minute cycle time and six workstations, what is the efficiency?f. What is the total idle time per cycle with a 10-minute cycle time and six workstations?g. Create a workstation assignment to balance the line with a 10-minute cycle time. What is itsefficiency?

The operations manager of an instruments company is balancing an assembly line. The company needs to build 96 instruments per 24-hour day. The assembly line activities are: Task Time (min) Predecessor A. 3. None 6. None C 7. D А, В E 2. F 4 C H. 7 D,E H. E K 4. G,I, J

The operations manager of an instruments company is balancing an assembly line. The company needs to build 96 instruments per 24-hour day. The assembly line activities are: Task Time (min) Predecessor A. 3. None 6. None C 7. D А, В E 2. F 4 C H. 7 D,E H. E K 4. G,I, J

Practical Management Science

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Chapter2: Introduction To Spreadsheet Modeling

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Question

The operations manager of an instruments company is balancing an assembly line. The company
needs to build 96 instruments per 24-hour day. The assembly line activities are:
Task Time (min)
Predecessor
A.
3.
None
6.
None
A.
А, В
В
E
4
H
D, E
1
H.
6.
E
4
G, I, J

a. Draw the precedence diagram.
b. If the daily (24-hour) production rate is 96 units, what is the greatest possible cycle time?
c. If the cycle time after allowances is given as 10 minutes, what is the daily (24-hour) produc-
tion rate?
d. With a 10-minute cycle time, what is the theoretical minimum number of stations with which
the line can be balanced?
e. With a 10-minute cycle time and six workstations, what is the efficiency?
f. What is the total idle time per cycle with a 10-minute cycle time and six workstations?
g. Create a workstation assignment to balance the line with a 10-minute cycle time. What is its
efficiency?

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