Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (1.e.. a machine-paced line flow). Each worker must perform at least one task. There is unlimited demand. Task 1 Task 2 Task 3 Task 4 Task 5 Task 6 Task 7 Task 8 Task 9 Task 10 Task 11 Task 12 Time to Complete Task (seconds) 20 20 10 15 10 15 40 10 15 20 10 15 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 Worker 2: Tasks 4, 5, 6 Worker 3: Tasks 7, 8, 9 Worker 4: Tasks 10, 11, 12

Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (1.e.. a machine-paced line flow). Each worker must perform at least one task. There is unlimited demand. Task 1 Task 2 Task 3 Task 4 Task 5 Task 6 Task 7 Task 8 Task 9 Task 10 Task 11 Task 12 Time to Complete Task (seconds) 20 20 10 15 10 15 40 10 15 20 10 15 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 Worker 2: Tasks 4, 5, 6 Worker 3: Tasks 7, 8, 9 Worker 4: Tasks 10, 11, 12

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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Question

Aa.16.

f. Again, assume the firm has hired a fifth worker. The task assignments for the five workers are shown below. What is the capacity of
this line now? (Round your final answer to two decimal places.)
Worker
1
2
3
4
5
Capacity
Worker
1
2
3
g. Now assume the firm is using eight workers. The task assignments for the eight workers are shown below. What is the capacity of
this line now? (Round your final answer to two decimal places.)
5
6
7
8
Task(s)
1,2
3,4,6
5,8,10
7
9,11,12
Capacity
Task(s)
1
units per hour
2,3
4,5
6
7
8,9
10,11
12
units per hour

Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (1.e., a machine-paced line
flow). Each worker must perform at least one task. There is unlimited demand.
Task 1
Task 2
Task 3
Task 4
Task 5
Task 6
Task 7
Task 8
Task 9
Task 10
Task 11
Task 12
Direct labor content
The current conveyor-paced assembly-line configuration assigns the workers in the following way:
Worker 1: Tasks 1, 2, 3
Worker 2: Tasks 4, 5, 6
Worker 3: Tasks 7, 8, 9
Worker 4: Tasks 10, 11, 12
Show Transcribed Text
Labor utilization
b. What is the direct labor content? (Round your final answer to one decimal place.)
Flow Time
1
2
Time to Complete
Task (seconds)
20
20
4
5
10
15
10
15
40
c. What is the average labor utilization (do not consider any transient effects such as the line being emptled before breaks or shift
changes)? (Round your final answer to two decimal places.)
Worker Task(s)
1,2
3,4,5
6,7
10
15
20
10
15
d. How long would it take to produce 100 units, starting with an empty system? (Round your final answer to two decimal places.)
Capacity
8,9
10,11,12
e. Assume the firm has hired a fifth worker. The task assignments for the five workers are shown below. What is the capacity of this line
now? (Round your final answer to two decimal places.)
%
hrs
min/unit
units per hour

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