The table provides the task times in seconds. The diagram below shows the precedence relationships and task times for assembly of a product. Hint #1: You should work this problem in time units of seconds (that is what the task times are given in).

Task Task Time (seconds) A 24 B 20 C 16 D 26 E 24 A diagram of 5 activities connected by 5 arrows. Activities A and D are at the beginning and activities C and E are ending activities. Arrows are from: A to B, A to E, B to C, D to C and D to E.

1. If an output of 600 units in an eight hour day is desired, what is the takt time?

Takt time = ______

2. Based on the takt time what is the minimum number of workstations?

Minimum number of workstations = ______

3. Use the largest eligible task technique to assign the tasks to workstations. Fill in #1-#5 below to show the assignments of tasks to workstations in order. Also, fill in the table to show which tasks are assigned to each workstation - but note that not all 5 workstations are needed!

Assign task _____ to workstation _____. Assign task _____ to workstation _____. Assign task _____ to workstation _____. Assign task _____ to workstation _____. Assign task _____ to workstation _____.

WS 1 WS 2 WS 3 WS 4 WS 5

4. Use the ranked positional weight technique to assign the tasks to workstations. First calculate the positional weights (in the table below). Then, fill in #1-#5 below to show the assignments of tasks to workstations in order.

Positional weights are:

Task Positional Weight A B C D E

Assign task _____ to workstation _____. Assign task _____ to workstation _____. Assign task _____ to workstation _____. Assign task _____ to workstation _____. Assign task _____ to workstation _____.

WS 1 WS 2 WS 3 WS 4 WS 5 5. Using a 48 second cycle time, what is the efficiency delay for your solution for 3 and 4?

Efficiency delay for solution to #3 using a 48 sec cycle time: _____

Efficiency delay for solution to #4 using a 48 sec cycle time: _____

6. Which solution is more evenly balanced (solution #3 or solution #4)? (Balance is measured by: Max time at a workstation Min time at a workstation).