Problem 1 (12 points) Consider the following seven tasks that must be assigned to four workers on an assembly line that is paced with a conveyor belt (i.e. machine-paced line flow). Task number Duration (seconds) 1 100 2 30 3 85 4 40 5 60 6 50 7 100 The current conveyor-paced assembly line configuration assigns the workers in the following way: Worker 1: Tasks 1 and 2 Worker 2: Task 3 and 4 Worker 3: Task 5 and 6 Worker 4: Task 7. Question A (3 points): What is the capacity of the current line? Write your answer in units per hour. Note: use at least two significant figures. Question B (3 points): Imagine the process starts empty (that is, there are not units / inventory in the system) at 1pm. At what time will the process finish to produce 26 units? Remember that the assembly line is machine-paced. Question C (3 points): Write down in a table the idle time per unit for each of the four workers. What is the connection between that idle time table and the labor utilisation? Question D (3 points). Now assume that tasks are allocated to maximize the capacity of the line, subject to the conditions that (1) a worker can only perform two adjacent operations and (2) all tasks need to be done in their numerical order. What is the capacity of this line now