b) Given the​ demand, the cycle time for the production of the new train set​ = ____ ​(round your response to one decimal​ place).   ​c) The theoretical minimum number of workstations is ___   ​d) Using the longest operation time​ rule, the assignment of tasks to workstations should​ be: ​(Hint: Number workstations sequentially in terms of precedence relationships and combine any applicable​ tasks.)

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 Action Toy Company has decided to manufacture a new train​ set, the production of which is broken into six steps. The demand for the train is 

 

4,800 units per​ 40-hour workweek:

                                                                                

Task

Performance Time 

​(seconds)

 

Predecessors

A

20

 

B

30

 

A

C

14

 

A

D

15

 

A

E

12

 

B, C

F

27

 

D, E

This exercise only contains parts​ b, c,​ d, e, and f.

 

b) Given the​ demand, the cycle time for the production of the new train set​ = ____ ​(round your response to one decimal​ place).

 

​c) The theoretical minimum number of workstations is ___

 

​d) Using the longest operation time​ rule, the assignment of tasks to workstations should​ be: ​(Hint: Number workstations sequentially in terms of precedence relationships and combine any applicable​ tasks.)

 

 

e)How much is the total idle time per cycle for the process? ____ seconds 

 

f) What is the efficiency of the assembly line with 5 workstations? ___%

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