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## The trim line at PW is a small subassembly line that, alongwith other such lines, feeds int1, o the final chassis line.The entire assembly line, which consists of more than 900workstations, is to make PW’s new E cars. The trim line itselfinvolves only 13 work elements and must handle 20 cars perhour. Work-element data are as follows:Work Element Time (Sec) Immediate Predecessor(s)A 2.4 NoneB 0.5 NoneC 2.1 NoneD 1.8 CE 1.1 BF 0.9 A G 2 AH 0.7 FI 0.7 DJ 1.8 H, EK 1.3 JL 1.9 GM 1.1 L, I, Ka. Draw a precedence diagram.b. What cycle time (in minutes) results in the desired outputrate?c. What is the theoretical minimum number of stations?d. Use the longest work element decision rule to balance theline and calculate the efficiency of your solution.e. Use the most followers work element decision rule tobalance the line and calculate the efficiency of yoursolution.

The trim line at PW is a small subassembly line that, along
with other such lines, feeds int1, o the final chassis line.
The entire assembly line, which consists of more than 900
workstations, is to make PW’s new E cars. The trim line itself
involves only 13 work elements and must handle 20 cars per
hour. Work-element data are as follows:
Work Element Time (Sec) Immediate Predecessor(s)
A 2.4 None
B 0.5 None
C 2.1 None
D 1.8 C
E 1.1 B
F 0.9 A

G 2 A
H 0.7 F
I 0.7 D
J 1.8 H, E
K 1.3 J
L 1.9 G
M 1.1 L, I, K
a. Draw a precedence diagram.
b. What cycle time (in minutes) results in the desired output
rate?
c. What is the theoretical minimum number of stations?
d. Use the longest work element decision rule to balance the
line and calculate the efficiency of your solution.
e. Use the most followers work element decision rule to
balance the line and calculate the efficiency of your
solution.

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