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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?

b. What is the direct labor content?

c. Assume a demand rate of 20 units per minute. What would be the take time of the process?

 

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

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