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12 Tasks to 4 Workers Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 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 A)What is the capacity of the current line (in units per hour)? B)What is the direct labor content (in seconds per unit)? C) Assume a demand rate of 20 units per minute. What would be the takt time of the process (in seconds per unit)? D)Assume a demand rate of 20 units per minute. What would be the target manpower?

12 Tasks to 4 Workers Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 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 A)What is the capacity of the current line (in units per hour)? B)What is the direct labor content (in seconds per unit)? C) Assume a demand rate of 20 units per minute. What would be the takt time of the process (in seconds per unit)? D)Assume a demand rate of 20 units per minute. What would be the target manpower?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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12 Tasks to 4 Workers

Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise.

Time to Complete Task (seconds):

  • Task 1: 30
  • Task 2: 25
  • Task 3: 15
  • Task 4: 20
  • Task 5: 15
  • Task 6: 20
  • Task 7: 50
  • Task 8: 15
  • Task 9: 20
  • Task 10: 25
  • Task 11: 15
  • Task 12: 20

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

A)What is the capacity of the current line (in units per hour)?

B)What is the direct labor content (in seconds per unit)?

C) Assume a demand rate of 20 units per minute. What would be the takt time of the process (in seconds per unit)?
D)Assume a demand rate of 20 units per minute. What would be the target manpower?
 
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