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 → Task 1, Worker 2→ Task 2, Worker 3→Tasks 3,4, Worker 4→ 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. Please do not solve it with computer-aided programs.