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Foundations of Operations Management
Quiz 9: Location and Layout
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Question 141
Multiple Choice
Table 9.21 Table 7.21 The following information is given about an assembly line. The desired output rate is 90 units per hour.
Work
Element
Time (sec)
Immediate
Predecessor
(
s
)
A
10
−
−
B
6
A
C
15
A
D
20
B
E
12
B
F
14
C
,
E
G
8
D
H
20
F
,
G
\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor } ( \mathrm { s } ) \end{array} \\\hline \mathrm { A } & 10 & - - \\\mathrm { B } & 6 & \mathrm {~A} \\\mathrm { C } & 15 & \mathrm {~A} \\\mathrm { D } & 20 & \mathrm {~B} \\\mathrm { E } & 12 & \mathrm {~B} \\\mathrm {~F} & 14 & \mathrm { C } , \mathrm { E } \\\mathrm { G } & 8 & \mathrm { D } \\\mathrm { H } & 20 & \mathrm {~F} , \mathrm { G } \\\hline\end{array}
Work
Element
A
B
C
D
E
F
G
H
Time (sec)
10
6
15
20
12
14
8
20
Immediate
Predecessor
(
s
)
−
−
A
A
B
B
C
,
E
D
F
,
G
-Use the information in Table 9.21.If you are using the longest work-element time rule,how many workstations do you need?
Question 142
Multiple Choice
Table 9.17 The Pennsylvania Appliance company is installing an assembly line to produce vacuum cleaners, and you, as an operations manager, are responsible for balancing the line. The work elements to be performed are listed, along with their items and immediate predecessors.
Work
Element
Time (sec)
Immediate
Predecessor(s)
A
60
−
−
B
40
A
C
30
B
D
20
B
E
40
B
F
60
C
G
70
D
H
50
F
,
G
I
20
E
J
60
H
,
I
\begin{array} { | c | c | c | } \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline \mathrm { A } & 60 & - - \\\mathrm { B } & 40 & \mathrm {~A} \\\mathrm { C } & 30 & \mathrm {~B} \\\mathrm { D } & 20 & \mathrm {~B} \\\mathrm { E } & 40 & \mathrm {~B} \\\mathrm {~F} & 60 & \mathrm { C } \\\mathrm { G } & 70 & \mathrm { D } \\\mathrm { H } & 50 & \mathrm {~F} , \mathrm { G } \\\mathrm { I } & 20 & \mathrm { E } \\\mathrm { J } & 60 & \mathrm { H } , \mathrm { I } \\\hline\end{array}
Work
Element
A
B
C
D
E
F
G
H
I
J
Time (sec)
60
40
30
20
40
60
70
50
20
60
Immediate
Predecessor(s)
−
−
A
B
B
B
C
D
F
,
G
E
H
,
I
-Use the information in Table 9.17.What is the theoretical minimum number of stations (TM) for the line? If you are using the longest work-element time rule,how many workstations do you need?
Question 143
Multiple Choice
Table 9.19 The Illinois Appliance Company is installing a line to produce a vacuum cleaner, and you, as the operations manager, are responsible for designing the line. The line has to produce 30 units per hour. The work elements to be performed are as follows, with the time needed and immediate predecessor(s) also shown.
Work
Element
Time (sec)
Immediate
Predecessor(s)
A
55
−
−
B
45
A
C
25
B
D
20
B
E
40
B
F
50
D
G
70
D
H
45
F
,
G
I
20
E
J
80
H
,
I
\begin{array} { | c | c | c | } \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline \mathrm { A } & 55 & - - \\\text { B } & 45 & \mathrm {~A} \\\mathrm { C } & 25 & \mathrm {~B} \\\mathrm { D } & 20 & \mathrm {~B} \\\mathrm { E } & 40 & \mathrm {~B} \\\mathrm {~F} & 50 & \mathrm { D } \\\mathrm { G } & 70 & \mathrm { D } \\\mathrm { H } & 45 & \mathrm {~F} , \mathrm { G } \\\mathrm { I } & 20 & \mathrm { E } \\\mathrm { J } & 80 & \mathrm { H } , \mathrm { I } \\\hline\end{array}
Work
Element
A
B
C
D
E
F
G
H
I
J
Time (sec)
55
45
25
20
40
50
70
45
20
80
Immediate
Predecessor(s)
−
−
A
B
B
B
D
D
F
,
G
E
H
,
I
-The production of a product consists of seven work elements.The desired output rate is 2 units per minute.The work elements and their precedence relationships follow.
Work
Element
Time (sec)
Immediate
Predecessor(s)
1
15
−
−
2
16
1
3
12
2
4
14
3
5
18
2
,
4
6
12
5
7
20
4
\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline 1 & 15 & - - \\2 & 16 & 1 \\3 & 12 & 2 \\4 & 14 & 3 \\5 & 18 & 2,4 \\6 & 12 & 5 \\7 & 20 & 4 \\\hline\end{array}
Work
Element
1
2
3
4
5
6
7
Time (sec)
15
16
12
14
18
12
20
Immediate
Predecessor(s)
−
−
1
2
3
2
,
4
5
4
Using the longest work-element time method,how many stations are required?
Question 144
Multiple Choice
An assembly line has to perform 10 work elements,whose time requirements follow below.An operations analyst has found a solution using some heuristics.The solution follows below. Solution
Work
Elements
Time
(
s
e
c
)
Station
Work
Elements
Assigned
A
45
1
A
,
B
,
C
B
30
2
D
,
E
C
15
3
F
,
H
D
30
4
G
,
I
E
50
5
J
F
40
G
30
H
30
I
60
J
80
\begin{array} { | c | c | c | c | } \hline \begin{array} { c } \text { Work } \\\text { Elements }\end{array} & \begin{array} { c } \text { Time } \\( \mathrm { sec } ) \end{array} & \text { Station } & \begin{array} { c } \text { Work } \\\text { Elements } \\\text { Assigned }\end{array} \\\hline \mathrm { A } & 45 & 1 & \mathrm {~A} , \mathrm {~B} , \mathrm { C } \\\mathrm { B } & 30 & 2 & \mathrm { D } , \mathrm { E } \\\mathrm { C } & 15 & 3 & \mathrm {~F} , \mathrm { H } \\\mathrm { D } & 30 & 4 & \mathrm { G } , \mathrm { I } \\\mathrm { E } & 50 & 5 & \mathrm {~J} \\\mathrm {~F} & 40 & & \\\mathrm { G } & 30 & & \\\mathrm { H } & 30 & & \\\mathrm { I } & 60 & & \\\text { J } & 80 & & \\\hline\end{array}
Work
Elements
A
B
C
D
E
F
G
H
I
J
Time
(
sec
)
45
30
15
30
50
40
30
30
60
80
Station
1
2
3
4
5
Work
Elements
Assigned
A
,
B
,
C
D
,
E
F
,
H
G
,
I
J
If the cycle time of the line is 90 seconds,what is the efficiency of the assembly line?
Question 145
Multiple Choice
Table 9.16 Balance the following lines for an output rate of 5 pieces per hour, using the longest work-element time rule. The times are in minutes (not seconds) .
Work
Element
Time
(min)
Immediate
Predecessor(s)
A
7
−
−
B
5
−
−
C
3
−
−
D
4
−
−
E
2
A, B
F
5
C
G
6
D
H
7
E, F
I
11
F, G
J
4
H, I
\begin{array} { | c | c | c | } \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \begin{array} { c } \text { Time } \\\text { (min) }\end{array} & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline \text { A } & 7 & - - \\\text { B } & 5 & - - \\\text { C } & 3 & - - \\\text { D } & 4 & - - \\\text { E } & 2 & \text { A, B } \\\text { F } & 5 & \text { C } \\\text { G } & 6 & \text { D } \\\text { H } & 7 & \text { E, F } \\\text { I } & 11 & \text { F, G } \\\text { J } & 4 & \text { H, I } \\\hline\end{array}
Work
Element
A
B
C
D
E
F
G
H
I
J
Time
(min)
7
5
3
4
2
5
6
7
11
4
Immediate
Predecessor(s)
−
−
−
−
−
−
−
−
A, B
C
D
E, F
F, G
H, I
-Use the information from Table 9.16.At what station is task F performed?
Question 146
Multiple Choice
Table 9.21 Table 7.21 The following information is given about an assembly line. The desired output rate is 90 units per hour.
Work
Element
Time (sec)
Immediate
Predecessor
(
s
)
A
10
−
−
B
6
A
C
15
A
D
20
B
E
12
B
F
14
C
,
E
G
8
D
H
20
F
,
G
\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor } ( \mathrm { s } ) \end{array} \\\hline \mathrm { A } & 10 & - - \\\mathrm { B } & 6 & \mathrm {~A} \\\mathrm { C } & 15 & \mathrm {~A} \\\mathrm { D } & 20 & \mathrm {~B} \\\mathrm { E } & 12 & \mathrm {~B} \\\mathrm {~F} & 14 & \mathrm { C } , \mathrm { E } \\\mathrm { G } & 8 & \mathrm { D } \\\mathrm { H } & 20 & \mathrm {~F} , \mathrm { G } \\\hline\end{array}
Work
Element
A
B
C
D
E
F
G
H
Time (sec)
10
6
15
20
12
14
8
20
Immediate
Predecessor
(
s
)
−
−
A
A
B
B
C
,
E
D
F
,
G
-Use the information in Table 9.21.Suppose that the desired output rate is increased to 120 units per hour and a solution has been found that has 4 workstations.What is the efficiency of this new assembly line?
Question 147
Multiple Choice
Table 9.17 The Pennsylvania Appliance company is installing an assembly line to produce vacuum cleaners, and you, as an operations manager, are responsible for balancing the line. The work elements to be performed are listed, along with their items and immediate predecessors.
Work
Element
Time (sec)
Immediate
Predecessor(s)
A
60
−
−
B
40
A
C
30
B
D
20
B
E
40
B
F
60
C
G
70
D
H
50
F
,
G
I
20
E
J
60
H
,
I
\begin{array} { | c | c | c | } \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline \mathrm { A } & 60 & - - \\\mathrm { B } & 40 & \mathrm {~A} \\\mathrm { C } & 30 & \mathrm {~B} \\\mathrm { D } & 20 & \mathrm {~B} \\\mathrm { E } & 40 & \mathrm {~B} \\\mathrm {~F} & 60 & \mathrm { C } \\\mathrm { G } & 70 & \mathrm { D } \\\mathrm { H } & 50 & \mathrm {~F} , \mathrm { G } \\\mathrm { I } & 20 & \mathrm { E } \\\mathrm { J } & 60 & \mathrm { H } , \mathrm { I } \\\hline\end{array}
Work
Element
A
B
C
D
E
F
G
H
I
J
Time (sec)
60
40
30
20
40
60
70
50
20
60
Immediate
Predecessor(s)
−
−
A
B
B
B
C
D
F
,
G
E
H
,
I
-Use the information in Table 9.17.What is the efficiency of the longest work-element time solution just found?
Question 148
Multiple Choice
Table 9.19 The Illinois Appliance Company is installing a line to produce a vacuum cleaner, and you, as the operations manager, are responsible for designing the line. The line has to produce 30 units per hour. The work elements to be performed are as follows, with the time needed and immediate predecessor(s) also shown.
Work
Element
Time (sec)
Immediate
Predecessor(s)
A
55
−
−
B
45
A
C
25
B
D
20
B
E
40
B
F
50
D
G
70
D
H
45
F
,
G
I
20
E
J
80
H
,
I
\begin{array} { | c | c | c | } \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline \mathrm { A } & 55 & - - \\\text { B } & 45 & \mathrm {~A} \\\mathrm { C } & 25 & \mathrm {~B} \\\mathrm { D } & 20 & \mathrm {~B} \\\mathrm { E } & 40 & \mathrm {~B} \\\mathrm {~F} & 50 & \mathrm { D } \\\mathrm { G } & 70 & \mathrm { D } \\\mathrm { H } & 45 & \mathrm {~F} , \mathrm { G } \\\mathrm { I } & 20 & \mathrm { E } \\\mathrm { J } & 80 & \mathrm { H } , \mathrm { I } \\\hline\end{array}
Work
Element
A
B
C
D
E
F
G
H
I
J
Time (sec)
55
45
25
20
40
50
70
45
20
80
Immediate
Predecessor(s)
−
−
A
B
B
B
D
D
F
,
G
E
H
,
I
-Use the information in Table 9.19.If you balance the line using the longest work-element time rule,which elements are assigned to station 2?
Question 149
Multiple Choice
Table 9.22 The production of a particular product consists of seven work elements. The desired output rate is 60 units per hour. The work element and their precedence relationships are given.
Work
Element
Time (sec)
Immediate
Predecessor(s)
1
30
−
−
2
15
1
3
20
2
4
15
3
5
30
3
6
25
4
7
30
5
,
6
\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline 1 & 30 & - - \\2 & 15 & 1 \\3 & 20 & 2 \\4 & 15 & 3 \\5 & 30 & 3 \\6 & 25 & 4 \\7 & 30 & 5,6 \\\hline\end{array}
Work
Element
1
2
3
4
5
6
7
Time (sec)
30
15
20
15
30
25
30
Immediate
Predecessor(s)
−
−
1
2
3
3
4
5
,
6
-Use the information in Table 9.22.Using the longest work-element time rule,how many stations are required?
Question 150
Multiple Choice
Table 9.22 The production of a particular product consists of seven work elements. The desired output rate is 60 units per hour. The work element and their precedence relationships are given.
Work
Element
Time (sec)
Immediate
Predecessor(s)
1
30
−
−
2
15
1
3
20
2
4
15
3
5
30
3
6
25
4
7
30
5
,
6
\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline 1 & 30 & - - \\2 & 15 & 1 \\3 & 20 & 2 \\4 & 15 & 3 \\5 & 30 & 3 \\6 & 25 & 4 \\7 & 30 & 5,6 \\\hline\end{array}
Work
Element
1
2
3
4
5
6
7
Time (sec)
30
15
20
15
30
25
30
Immediate
Predecessor(s)
−
−
1
2
3
3
4
5
,
6
-Use the information in Table 9.22.What is the efficiency of the line created using the longest work-element time rule?
Question 151
Multiple Choice
Table 9.19 The Illinois Appliance Company is installing a line to produce a vacuum cleaner, and you, as the operations manager, are responsible for designing the line. The line has to produce 30 units per hour. The work elements to be performed are as follows, with the time needed and immediate predecessor(s) also shown.
Work
Element
Time (sec)
Immediate
Predecessor(s)
A
55
−
−
B
45
A
C
25
B
D
20
B
E
40
B
F
50
D
G
70
D
H
45
F
,
G
I
20
E
J
80
H
,
I
\begin{array} { | c | c | c | } \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline \mathrm { A } & 55 & - - \\\text { B } & 45 & \mathrm {~A} \\\mathrm { C } & 25 & \mathrm {~B} \\\mathrm { D } & 20 & \mathrm {~B} \\\mathrm { E } & 40 & \mathrm {~B} \\\mathrm {~F} & 50 & \mathrm { D } \\\mathrm { G } & 70 & \mathrm { D } \\\mathrm { H } & 45 & \mathrm {~F} , \mathrm { G } \\\mathrm { I } & 20 & \mathrm { E } \\\mathrm { J } & 80 & \mathrm { H } , \mathrm { I } \\\hline\end{array}
Work
Element
A
B
C
D
E
F
G
H
I
J
Time (sec)
55
45
25
20
40
50
70
45
20
80
Immediate
Predecessor(s)
−
−
A
B
B
B
D
D
F
,
G
E
H
,
I
-Use the information in Table 9.19.What is the theoretical minimum number of stations?
Question 152
Multiple Choice
Table 9.20 The following information is known about an assembly line. The desired output rate is 80 units per hour.
Work
Element
Time (sec)
Immediate
Predecessor
(
s
)
1
1
−
−
2
15
1
3
20
1
4
30
2
5
20
2
,
3
6
10
5
7
20
4
8
4
6
,
7
\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor } ( \mathrm { s } ) \end{array} \\\hline 1 & 1 & - - \\2 & 15 & 1 \\3 & 20 & 1 \\4 & 30 & 2 \\5 & 20 & 2,3 \\6 & 10 & 5 \\7 & 20 & 4 \\8 & 4 & 6,7 \\\hline\end{array}
Work
Element
1
2
3
4
5
6
7
8
Time (sec)
1
15
20
30
20
10
20
4
Immediate
Predecessor
(
s
)
−
−
1
1
2
2
,
3
5
4
6
,
7
-Use the information in Table 9.20.Using the longest work-element time rule of line balancing,what is the theoretical minimum number of stations versus the number of stations needed?
Question 153
Multiple Choice
Table 9.20 The following information is known about an assembly line. The desired output rate is 80 units per hour.
Work
Element
Time (sec)
Immediate
Predecessor
(
s
)
1
1
−
−
2
15
1
3
20
1
4
30
2
5
20
2
,
3
6
10
5
7
20
4
8
4
6
,
7
\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor } ( \mathrm { s } ) \end{array} \\\hline 1 & 1 & - - \\2 & 15 & 1 \\3 & 20 & 1 \\4 & 30 & 2 \\5 & 20 & 2,3 \\6 & 10 & 5 \\7 & 20 & 4 \\8 & 4 & 6,7 \\\hline\end{array}
Work
Element
1
2
3
4
5
6
7
8
Time (sec)
1
15
20
30
20
10
20
4
Immediate
Predecessor
(
s
)
−
−
1
1
2
2
,
3
5
4
6
,
7
-Use the information in Table 9.20.What is the maximum idle time at any station,given the solution found by the longest work-element time method?
Question 154
Multiple Choice
Table 9.21 Table 7.21 The following information is given about an assembly line. The desired output rate is 90 units per hour.
Work
Element
Time (sec)
Immediate
Predecessor
(
s
)
A
10
−
−
B
6
A
C
15
A
D
20
B
E
12
B
F
14
C
,
E
G
8
D
H
20
F
,
G
\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor } ( \mathrm { s } ) \end{array} \\\hline \mathrm { A } & 10 & - - \\\mathrm { B } & 6 & \mathrm {~A} \\\mathrm { C } & 15 & \mathrm {~A} \\\mathrm { D } & 20 & \mathrm {~B} \\\mathrm { E } & 12 & \mathrm {~B} \\\mathrm {~F} & 14 & \mathrm { C } , \mathrm { E } \\\mathrm { G } & 8 & \mathrm { D } \\\mathrm { H } & 20 & \mathrm {~F} , \mathrm { G } \\\hline\end{array}
Work
Element
A
B
C
D
E
F
G
H
Time (sec)
10
6
15
20
12
14
8
20
Immediate
Predecessor
(
s
)
−
−
A
A
B
B
C
,
E
D
F
,
G
-A line balancing solution has been developed for the assembly line for fertilizer spreaders at Green Grass,Inc.The desired output rate of 30 spreaders per hour will be achieved.The sum of times for all tasks performed on the line is 1200 seconds for each spreader assembled.This is the total productive time.Which of the following statements must be TRUE?
Question 155
Multiple Choice
Table 9.18 A company desires to set up a line to produce 60 units per hour. The work elements and their precedence relationships are as follows.
Work
Element
Time (sec)
Immediate
Predecessor(s)
1
40
−
−
2
30
1
3
50
1
4
40
2
5
6
2
6
25
3
7
15
3
8
20
4
,
5
9
18
6
,
7
10
30
8
,
9
\begin{array} { | c | c | c | } \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \text { Time (sec) } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline 1 & 40 & - - \\2 & 30 & 1 \\3 & 50 & 1 \\4 & 40 & 2 \\5 & 6 & 2 \\6 & 25 & 3 \\7 & 15 & 3 \\8 & 20 & 4,5 \\9 & 18 & 6,7 \\10 & 30 & 8,9 \\\hline\end{array}
Work
Element
1
2
3
4
5
6
7
8
9
10
Time (sec)
40
30
50
40
6
25
15
20
18
30
Immediate
Predecessor(s)
−
−
1
1
2
2
3
3
4
,
5
6
,
7
8
,
9
-Use the information in Table 9.18.What is the theoretical minimum number of stations versus the number of stations required using the longest work-element time method?
Question 156
Multiple Choice
Given the following data about an assembly line and the knowledge that we are trying to attain an output rate of 40 units per hour,what is the theoretical minimum number of stations?
Work
Element
Time
(
s
e
c
)
1
90
2
80
3
75
4
70
5
90
6
85
\begin{array} { | c | c | } \hline \begin{array} { c } \text { Work } \\\text { Element }\end{array} & \begin{array} { c } \text { Time } \\( \mathrm { sec } ) \end{array} \\\hline 1 & 90 \\2 & 80 \\3 & 75 \\4 & 70 \\5 & 90 \\6 & 85 \\\hline\end{array}
Work
Element
1
2
3
4
5
6
Time
(
sec
)
90
80
75
70
90
85
Question 157
Multiple Choice
Fun Vehicles,Inc.makes "beach buggies" on an assembly line.The total productive time to make one buggy is 300 seconds.The current line has a 90-second cycle time and consists of four workstations.The balance delay of this line must be