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):

College Algebra
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Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 40E: Optimal Labor A manufacturer has two different factories that produce three grades of steel:...
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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

Assume a demand rate of 20 units per minute. What would be the target manpower?

 
 

 

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