Suppose in the given problem that additional constraints arise from the fact that certain tasks cannot be performed at the same station. In particular suppose that the tasks are zoned in the following manner:Zone 1 Tasks 2, 3, 1, 4, 6Zone 2 Tasks 5, 8, 7, 9Zone 3 Tasks 10, 11Assuming that only tasks in the same zone category can be performed at the same station, determine the resulting line balance for the problem based on a 45‑second cycle time. The assembly of a transistorized clock radio requires a total of 11 tasks. The tasktimes and predecessor relationships are given in the following table.ImmediateTaskTime (seconds)Predecessors14238454121, 25102847128109.78, 93, 1010101134a. Develop a network for this assembly operation.b. What is the minimum cycle time that could be considered for this operation? Whatis the minimum number of stations that could be used with this cycle time?c. Using the ranked positional weight technique, determine the resulting balanceusing a cycle time of 45 seconds.d. Determine by experimentation the minimum cycle time that results in a four-stationbalance.e. What is the daily production rate for this product if the company adopts the balanceyou determined in part (c)? (Assume a six-hour day for your calculations.) Whatwould have to be done if the company wanted a higher rate of production?

Given information Zone Task 1 2,3,1,4,6 2 5,8,7,9 3 10,11 Task Time Immediate…

Answered: The assembly of a transistorized clock…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Suppose in the given problem that additional constraints arise from the fact that certain tasks cannot be performed at the same station. In particular suppose that the tasks are zoned in the following manner:
Zone 1 Tasks 2, 3, 1, 4, 6
Zone 2 Tasks 5, 8, 7, 9
Zone 3 Tasks 10, 11
Assuming that only tasks in the same zone category can be performed at the same station, determine the resulting line balance for the problem based on a 45‑second cycle time.

The assembly of a transistorized clock radio requires a total of 11 tasks. The task
times and predecessor relationships are given in the following table.
Immediate
Task
Time (seconds)
Predecessors
1
4
2
38
45
4
12
1, 2
5
10
2
8
4
7
12
8
10
9.
7
8, 9
3, 10
10
10
11
34
a. Develop a network for this assembly operation.
b. What is the minimum cycle time that could be considered for this operation? What
is the minimum number of stations that could be used with this cycle time?
c. Using the ranked positional weight technique, determine the resulting balance
using a cycle time of 45 seconds.
d. Determine by experimentation the minimum cycle time that results in a four-station
balance.
e. What is the daily production rate for this product if the company adopts the balance
you determined in part (c)? (Assume a six-hour day for your calculations.) What
would have to be done if the company wanted a higher rate of production?

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