Dr. Lori Baker, operations manager at Nesa Electronics, prides herself on excellent assembly-line balancing. She has been told that the firm needs to complete

120

instruments per

24-hour

day. The assembly-line activities are:

Task	Performance Time (mins)		Predecessors	Task	Performance Time (mins)		Predecessors
A	4			G	5		F
B	6			H	7		D, E
C	9		A	I	1		H
D	7		A, B	J	8		E
E	2		B	K	2		G, I, J
F	5		C

This exercise only contains parts b, c, d, e, f, and g.

Part 2

b) For the given daily

(24-hour)

production rate of

120

units, the highest allowable cycle time =

enter your response here

minutes

(enter

your response as a whole

number).

Part 3

c) If the cycle time after allowances is given as

10

minutes, then the effective daily

(24-hour)

production rate =

enter your response here

units (enter your response as a whole

number).

Part 4

d) For the given

10-minute

cycle time after allowances, the theoretical minimum number of workstations =

enter your response here

(round your response up to the next whole number).

Part 5

e) Using the longest assigned task time of all of the workstations and

6

workstations, the operating efficiency of the assembly line =

enter your response here%

(enter your response as a percentage rounded to two decimal places).

Part 6

f) Using the

10-minute

cycle time after allowances and

6

workstations, the idle time for the assembly line per cycle =

enter your response here

minutes (enter your response as a whole number).

Part 7

g) The correct precedence relationship with one of the possible assignments of tasks to workstations for the given

10-minute

cycle time is shown in

Fig. 3

Fig. 1

Fig. 2

.

A

G

H

B

C

D

J

I

Fig. 1

F

E

K

There are 11 circles labeled using the letters from A to K. There are arrows, connecting one circle to another in the following manner: A to C, A to D, B to D, B to E, C to F, D to H, E to H, E to J, F to G, G to K, H to I, I to K, and J to K. There are six distinct partitions that contain one or more circles. First partition contains circles A and B. Second partition contains circle C. Third partition contains circles D and E. Fourth partition contains circles F and G. Fifth partition contains circles H and I. Sixth partition contains circles J and K. The diagram is labeled Fig. 1.

A

G

H

B

E

C

J

I

Fig. 2

F

D

K

There are 11 circles labeled using the letters from A to K. There are arrows, connecting one circle to another in the following manner: A to E, A to C, B to C, B to D, C to H, D to H, D to J, E to F, F to G, G to K, H to I, I to K, and J to K. There are six distinct partitions that contain one or more circles. First partition contains circles A and B. Second partition contains circles C and D. Third partition contains circle E. Fourth partition contains circles F and G. Fifth partition contains circles H and I. Sixth partition contains circles J and K. The diagram is labeled Fig. 2.

A

G

H

B

C

D

J

I

Fig. 3

F

E