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Producing an item requires 6 different tasks. Let tj denote the time (in seconds) to complete task j. We have: t1 = 30, t2 = 25, t3 = 35, t4 = 40, t5 = 15, t6 = 30. You would like to divide the tasks to 4 workers to constitute a production line. a. Find the production capacity of the line for the following assignment: Worker 1 â†’ Task 1, Worker 2â†’ Task 2, Worker 3â†’Tasks 3,4, Worker 4â†’ Tasks 5,6. b. Find optimal assignment (to maximize the production capacity) if the task sequence should not be broken (task j should be done before task j +1). c. Find optimal assignment (to maximize the production capacity) if the task sequence can be broken (no precedence relationship between tasks). 1 d. Assume that the daily demand for this item is 400 and that each worker costs 15 TL/hr. Find the direct labor cost per item if the task sequence should not be broken.

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