PLEASE ONLY SOLVE PART (c). Parts (a) and (b) are already completed with answers shown.

See the Assembly line below with the following 12 tasks. The desired # of output is 50 units per day. Balance the assembly line--->Answer parts (a) & (b).

Assume that the system works continuously for 10 hours each day.

Task	Task Time (minutes)	Preceding task(s)
A	10	-
B	4	A
C	6	B
D	5	-
E	7	B
F	9	B
G	5	C, D
H	4	G
I	2	E
J	3	I, F
K	5	H, J
L	6	K

PLEASE ONLY SOLVE PART (c). Parts (a) and (b) are already completed with answers shown.

Part (a):

Determine the cycle time (in minutes) for the desired output rate per day.

ANSWER: Cycle time = Time in a day / demand = 10 hours / 50 = 0.20 hours or 0.2*60 = 12 minutes

Part (b):

Balance the line by using the RULE #1: "most number of following task" and then as a SECONDARY RULE: use "shortest operation time" (as a secondary criterion).

Write the sequence of each task in each workstation.

part B) ANSWER:

Workstation	task assigned	sum of task time	rationale
1	A	10	A is the starting task and no other task can be assigned as cycle time is 12 minutes
2	B-D	9	B has most number of following task and D has shorter operating time compared to C/E/F
3	C-G	11	c has shorter operating time and only g can be assigned to station
4	E-I	9	E has shorter operating time than F
5	F-J	12
6	H-K	9
7	L	6

part (c) What is the total idle time?