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Question :
48) A facility trying to set up an assembly line, : 2034589

48) A facility is trying to set up an assembly line, and has identified the various tasks, and their relationship to each other, as shown in the following table. Managers wish to produce 600 units per day, working two 8-hour shifts.

Task |
Preceding Task |
Time to perform (sec.) |

A |
-- |
20 |

B |
-- |
30 |

C |
-- |
25 |

D |
-- |
10 |

E |
A |
55 |

F |
D, B, C |
30 |

G |
E |
25 |

H |
F, G |
40 |

(a)Draw a network diagram of precedence relationships.

(b)Compute the required cycle time per unit in seconds.

(c)Compute the minimum number of workstations required to produce 600 units per day.

(d)Balance this line using the longest processing time heuristic.

(e)What is the efficiency of the line obtained in part (d)?

49) A company is trying to balance production between 3 workstations on an assembly line. Currently there are 5 tasks that need to be performed. These tasks, ABCDE, have required times of 2 minutes, 4 minutes, 1 minutes, 3 minutes, and 10 minutes, respectively. The assembly line needs to produce 40 units per day to meet demand and can work for up to 8 hours each day.

(a)What is the required cycle time?

(b)What is the theoretical minimum # of workstations?

(c)Assign the tasks according to the shortest task time heuristic.

50) An assembly line is assigned as follows. Station 1- task A, B, and C. Station 2- task D. Station 3- task E and F. The task times are 7, 3, 2, 9, 4, and 5 minutes respective to A, B, C, D, E, and F. (Assume that there is no precedence relationships between the tasks, i.e. they can be performed in any order)

(a)Calculate the efficiency.

(b)What would the assignment of tasks to stations be using the shortest processing time heuristic (assuming the current maximum station time remains the cycle time)?