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I need help with the total idle time per cycle question, please include steps with explanations

& Problem 9.15 The Action Toy Company has decided to manufacture a new train set, the production of which is broken into six steps. T Question Help he demand for the train is 4,800 units p 40-hour workweek Performance Time Task Predecessors 20 27 B, C D.E 12 This exeroise only contains parts b, c, d, e, and f b) Given the demand, the cycle time for the production of the new train set 30 seconds (round your response to one decimal place) c) The theoretical minimum number of workstations 4 (round your response up to the next whole number d) Using the longest operation time rule, the assignment of tasks to workstations should be: (Hint: Number workstations sequentially in terms of precedence
) The theoretical minimum number of workstations 4 (round your response up to the next whole number) 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.) Task workstation # Station 1 Station 2 Station 3 Station 3 Station 4 Station 5 8 Were you able to assign all the tasks to the theoretical minimum number of workstations? No e) The total idle time per cycle for the process seconds (enter your response as a whoie number) Enter your answer in the answer box and then click Check Answer
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Answer #1

Total task Time calculation:

Task

Time(second)

Task that must Precede

A

20

-

B

27

A

C

14

A

D

15

A

E

12

B,C

F

28

D,E

Total task Time

116
  1. What is the cycle time?

Time available per week = 40 hours *60 minutes * 60 seconds = 144,000 seconds

Units required = 4,800 units per week (demand)

Cycle Time = Time available per week/ Units required per week

=144,000 seconds / 4,800 units = 30 seconds per unit

Therefore cycle time is 30 seconds per unit.

  1. What are the theoretical minimum number of workstations required to meet the desired output rate

The theoretical minimum number of workstations = Total time or sum of required for all the task / cycle time

= 116 seconds / 30 second = 3.87 or 4 workstations (next whole number)

  1. The line balancing table by using longest operating time rule (also have to maintain precedence and not exceeding cycle time) –

Workstation (cycle time= 30 seconds)

Tasks in order

Workstation Time (sec)

Idle time (sec) (workstation time – cycle time)

1

A

20

10

2

B

27

3

3

C,D

14+15 =29

1

4

E

12

18

5

F

28

2

Total

44

All jobs are not assigned to the theoretical minimum number of workstations and number of work stations are 5.

  1. The total idle time Idle time per cycle = 44 seconds (calculated in above table)
1 5
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