The following tasks are to be performed on an assembly line TASKS THAT TASK SECO
ID: 395660 • Letter: T
Question
The following tasks are to be performed on an assembly line TASKS THAT TASK SECONDS MUST PRECEDE 15 16 17 15 21 E, F The workday is 9.5 hours long. Demand for completed product is 900 per day. a. Find the cycle time required to meet the desired output rate. (Round your answer to 1 decimal place.) Cycle time b. What is the theoretical number of workstations required to meet the desired output rate? (Round up your answer to the next whole number.) Number of workstations d. Balance the line using the longest-operating-time rule. (Leave no cells blank be certain to enter "" wherever required. Round your answers to 1 decimal place.) seconds per unit Work Station Task (Click to select) (Click to select) Click to select) 4 (Click to select) (Click to select) Idle TimeExplanation / Answer
Total task Time calculation:
Task
Time(second)
Task that must Precede
A
30
-
B
15
A
C
16
B
D
20
B
E
22
C
F
17
D
G
15
E,F
H
21
G
Total task Time
156
a. Find the cycle time required to meet the desired output rate
Time available per day = 9.5 hours *60 minutes * 60 seconds = 34,200 seconds
Units required = 900 units per day (demand)
Cycle Time = Time available per day/ Units required per day
=34,200 seconds / 900 units = 38 seconds per unit
Therefore cycle time is 38 seconds per unit.
b. What are the theoretical number of workstations required to meet the desired output rate
The theoretical number of workstations = Total time or sum of required for all the task / cycle time
= 156 seconds / 38 second = 4.11 or 5 workstations (next whole number)
d. The line balancing table by using longest operating time rule (also have to maintain precedence and not exceeding cycle time) –
Workstation (cycle time= 38 seconds)
Tasks in order
Workstation Time (sec)
Idle time (sec)
1
A
30
8
2
B,D
15+20=35
3
3
C,E
16+22=38
0
4
F,G
17+15=32
6
5
H
21
17
Task
Time(second)
Task that must Precede
A
30
-
B
15
A
C
16
B
D
20
B
E
22
C
F
17
D
G
15
E,F
H
21
G
Total task Time
156
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