Question 1:
The Terminal Company is attempting to balance its assembly line of high-voltage electrical connectors. The desired output for the line is 50 connectors per hour, and the information on the work elements for this assembly line is as follows.
|
Work
Elements
|
Time (sec)
|
Immediate Predecessor(s)
|
|
A
|
40
|
--
|
|
B
|
36
|
A
|
|
C
|
20
|
A
|
|
D
|
25
|
A
|
|
E
|
30
|
B, C
|
|
F
|
34
|
D
|
|
G
|
35
|
E
|
|
H
|
5
|
F
|
|
I
|
15
|
E, H
|
|
J
|
40
|
H
|
|
K
|
38
|
G, I, J
|
Use the information from Table 7.15 to balance this line. What is the most efficient solution?
Question 2
The Terminal Company is attempting to balance its assembly line of high-voltage electrical connectors. The desired output for the line is 50 connectors per hour, and the information on the work elements for this assembly line is as follows.
|
Work
Elements
|
Time (sec)
|
Immediate Predecessor(s)
|
|
A
|
40
|
--
|
|
B
|
36
|
A
|
|
C
|
20
|
A
|
|
D
|
25
|
A
|
|
E
|
30
|
B, C
|
|
F
|
34
|
D
|
|
G
|
35
|
E
|
|
H
|
5
|
F
|
|
I
|
15
|
E, H
|
|
J
|
40
|
H
|
|
K
|
38
|
G, I, J
|
----------------------------------------------------------------------------------
Use the information from Table 7.15 and the most efficient line balance possible. What work elements are included in the first station?
Question 3
The Terminal Company is attempting to balance its assembly line of high-voltage electrical connectors. The desired output for the line is 50 connectors per hour, and the information on the work elements for this assembly line is as follows.
|
Work
Elements
|
Time (sec)
|
Immediate Predecessor(s)
|
|
A
|
40
|
--
|
|
B
|
36
|
A
|
|
C
|
20
|
A
|
|
D
|
25
|
A
|
|
E
|
30
|
B, C
|
|
F
|
34
|
D
|
|
G
|
35
|
E
|
|
H
|
5
|
F
|
|
I
|
15
|
E, H
|
|
J
|
40
|
H
|
|
K
|
38
|
G, I, J
|
----------------------------------------------------------------------------------
Use the information from Table 7.15, and assume that the most efficient line balance possible ha been achieved. What is the total idle time for an eight hour work day?
Question 4
- 112. The production of a particular product consists of the following work elements. If the cycle time is 4 minutes and the work-element times are as follows, what is the theoretical minimum number of stations?
|
Work
|
Time (min)
|
|
Element
|
|
1
|
2.4
|
|
2
|
0.5
|
|
3
|
2.1
|
|
4
|
2
|
|
5
|
2.7
|
|
6
|
1.1
|
|
7
|
2
|
|
8
|
2.7
|
|
9
|
1.6
|
|
10
|
1.4
|
Question 5
- 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
Question 6
An assembly line has to perform 10 work elements, whose time requirements follow. An operations analyst has found a solution using some heuristics, as shown in the table. If the cycle time of the line is 90 seconds, what is the efficiency of the assembly line?
|
|
|
Solution
|
|
Work
Elements
|
Time (sec)
|
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
|
|
|
Question 7
- Table 7.13
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
|
----------------------------------------------------------------------------------------
Use the information in Table 7.13. What is the fewest number of workstations that you need?
Question 8
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
|
------------------------------------------------------------------------------------------
Use the information in Table 7.13. Suppose that the desired output rate is increased to 120 units per hour and a solution has been found that has four workstations. What is the efficiency of this new assembly line?
Question 9
A company makes four products that have the following characteristics: Product A sells for $75 but needs $20 of materials and $20 of labor to produce; Product B sells for $90 but needs $45 of materials and $20 of labor to produce; Product C sells for $110 but needs $50 of materials and $30 of labor to produce; Product D sells for $135 but needs $75 of materials and $40 of labor to produce. The processing requirements for each product on each of the four machines are shown in the table.
|
|
Processing Time (min/unit)
|
|
Work Center
|
A
|
B
|
C
|
D
|
|
W
|
8
|
4
|
12
|
10
|
|
X
|
12
|
9
|
10
|
6
|
|
Y
|
8
|
12
|
14
|
5
|
|
Z
|
10
|
9
|
5
|
5
|
Work centers W, X, Y, and Z are available for 40 hours per week and have no setup time when switching between products. Market demand is 50 As, 60 Bs, 70 Cs, and 80 Ds per week. In the questions that follow, the traditional method refers to maximizing the contribution margin per unit for each product, and the bottleneck method refers to maximizing the contribution margin per minute at the bottleneck for each product.
Question 10
A company makes four products that have the following characteristics: Product A sells for $75 but needs $20 of materials and $20 of labor to produce; Product B sells for $90 but needs $45 of materials and $20 of labor to produce; Product C sells for $110 but needs $50 of materials and $30 of labor to produce; Product D sells for $135 but needs $75 of materials and $40 of labor to produce. The processing requirements for each product on each of the four machines are shown in the table.
|
|
Processing Time (min/unit)
|
|
Work Center
|
A
|
B
|
C
|
D
|
|
W
|
8
|
4
|
12
|
10
|
|
X
|
12
|
9
|
10
|
6
|
|
Y
|
8
|
12
|
14
|
5
|
|
Z
|
10
|
9
|
5
|
5
|
Work centers W, X, Y, and Z are available for 40 hours per week and have no setup time when switching between products. Market demand is 50 As, 60 Bs, 70 Cs, and 80 Ds per week. In the questions that follow, the traditional method refers to maximizing the contribution margin per unit for each product, and the bottleneck method refers to maximizing the contribution margin per minute at the bottleneck for each product.