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1. As the Cottrell Bicycle Co. of St. Louis completes plans for its new assembly line, it identifies 25 different tasks in the production process.
VP of Operations Jonathan Cottrell now faces the job of balancing the line. He lists precedence and provides time estimates for each step
based on work-sampling techniques. His goal is to produce 1,000 bicycles per standard 40-hour workweek.
a. Draw the appropriate precedence diagram for this production line.
b. Assign tasks to workstations and determine how much idle time is present each cycle.
c. What is the theoretical minimum number of workstations?
d. Compute for the Line Efficiency.
TIME
TIME (sec)
PRECEDENCE
PRECEDENCE
(sec)
K3
60
E3
109
F3
KA
24
K3
D6
53
F4
K9
27
K3
D7
72
F9. E2. E3
11
66
K3
D8
78
F3, D6
12
22
K3
DO
37
D6
13
3
C1
78
F7
G4
79
*4, K9
83
72
D7, D8, D9, C1
G5
29
K9, J1
85
108
CI
F3
32
J2
87
18
83
92
52
B5
F7
21
13
A2
72
85
F9
126
G4
A3
114
87, A1. A2
E2
18
G5, F3

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