The trim line at PW is a small subassembly line that, along with other such lines, feeds into 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 A B C D E F G H J K L M Time (Minutes) 1.8 0.4 1.6 1.5 0.7 0.5 0.8 1.4 1.4 1.4 0.5 1.0 0.8 Immediate Predecessor(s) None None None A A E B C D F, G H J I, K, L 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?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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The trim line at PW is a small subassembly line that, along with other such lines, feeds into
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
A
B
C
D
E
F
G
H
I
L
M
Time (Minutes)
1.8
0.4
1.6
1.5
0.7
0.5
0.8
1.4
1.4
1.4
0.5
1.0
0.8
Immediate Predecessor(s)
None
None
None
A
A
E
B
с
D
F, G
H
J
I, K, L
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?
Transcribed Image Text:The trim line at PW is a small subassembly line that, along with other such lines, feeds into 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 A B C D E F G H I L M Time (Minutes) 1.8 0.4 1.6 1.5 0.7 0.5 0.8 1.4 1.4 1.4 0.5 1.0 0.8 Immediate Predecessor(s) None None None A A E B с D F, G H J I, K, L 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?
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