An assembly line is to operate eight hours per day with a desired output of 240 units perday. The following table contains information on this product’s task times and precedencerelationships:                   Task                            Task Time (Seconds)                               Immediate Predecessor                      A                                          60                                                                        —                      B                                          80                                                                         A                      C                                          20                                                                         A                      D                                          50                                                                         A                      E                                           90                                                                       B, C                      F                                           30                                                                       C, D                      G                                          30                                                                       E, F                      H                                          60                                                                         Ga. Draw the precedence diagram.b. What is the workstation cycle time required to produce 240 units per day?c. Balance this line using the longest task time.d. What is the efi ciency of your line balance, assuming it is running at the cycle timefrom part (b)?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
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An assembly line is to operate eight hours per day with a desired output of 240 units per
day. The following table contains information on this product’s task times and precedence
relationships:
                   Task                            Task Time (Seconds)                               Immediate Predecessor
                      A                                          60                                                                        —
                      B                                          80                                                                         A
                      C                                          20                                                                         A
                      D                                          50                                                                         A
                      E                                           90                                                                       B, C
                      F                                           30                                                                       C, D
                      G                                          30                                                                       E, F
                      H                                          60                                                                         G
a. Draw the precedence diagram.
b. What is the workstation cycle time required to produce 240 units per day?
c. Balance this line using the longest task time.
d. What is the efi ciency of your line balance, assuming it is running at the cycle time
from part (b)?
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,