Fill in the table using the information below. Clearly state the decision rule you use and complete the below table using the selected rule.

Decision Rule:
			Work Element	Cumulative	Idle Time
Station	Candidate(s)	Choice	Time (sec)	Time (sec)	(c = ? sec)

We use the longest task time (LPT) heuristic judgement rule to balance the assembly line.

Step 1: Sort the tasks according to their completion times.

G (16) is better than A (25), C (20), B (18), E (12), H (12), F (8), and D. (5)

Step 2: Assign tasks to stations, beginning with the top-ranked assignment. Station 1 (total time: 53 seconds): G (16), A (25), and E (12). Station 2's sequence is C (20) > H (12) > F (8) (total time: 40 seconds). (Total time: 23 seconds) Station 3: B (18) > D (5)

Step 3: Determine how much time each station has been idle.

Station 1: Cycle time of 40 seconds minus total time of 53 seconds equals 13 seconds (no idle time) Station 2: 40 minus 40 equals 0 seconds (no idle time) Station 3: 40 seconds divided by 23 seconds equals 17 seconds (idle time)

Step 4: Determine which tasks can be transferred to the vacant stations.

1st Station: None No station two E (12) or F (8) or H at Station 3 (12) Step 5: Decide which job should be moved to the idle station based on its task time.

Among the available tasks, E (12) has the longest task time.

Recalculating the total time for each station is step six.

Station 1 (total time: 53 seconds): G (16), A (25), and E (12). Station 2's sequence is C (20) > H (12) > F (8) (total time: 40 seconds). Station 3 (total time: 35 seconds): B (18), D (5), and E (12).

Step 7: Determine how much time each station has been idle.

Station 1: 40 minus 53 equals -13 seconds (no idle time) Station 2: 40 minus 40 equals 0 seconds (no idle time) Station 3: 40 minus 35 equals 5 seconds (idle time) Step 8: Repeat steps 4 through 7 until every vacant station is occupied.

1st Station: None No station two Station 3: F (8) or H (12) Among the available tasks, F (8) has the next-highest task time.

In order to create 90 units per hour, the final balanced assembly line with three stations and the LPT heuristic decision rule is as follows:

Station 1 (total time: 53 seconds): G (16), A (25), and E (12). Station 2's sequence is C (20) > H (12) > F (8) (total time: 40 seconds). Station 3: B (18) > D (5) > F (8) (30 seconds total)

The assembly line's cycle time is 40 seconds, which satisfies the necessary production of 90 units per hour.