CED 6910 Northeastern University Linear Programming Worksheet
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Solve the following linear programming question for the data below and describe the results.
Note: This is a two-output case. Show the objective values and relative scores of all agencies.
Agency
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
N
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Output 1
12,247.45
53,888.77
34,292.86
7,348.47
19,595.92
58,787.75
14,696.94
39,191.84
19,595.92
17,146.43
12,247.69
61,237.24
9,797.96
68,585.71
44,090.82
8,573.21
12,222.95
36,742.35
Output 2
24,494.90
20,820.66
34,292.86
46,540.31
31,843.37
19,595.92
36,742.35
41,641.33
22,045.41
41,641.33
24,495.14
24,494.90
31,843.37
29,393.88
26,944.39
44,090.82
24,568.38
20,973.76
Solve the following linear programming question for the data below and describe the results.
Note: This is a two-output case. Show the objective values and relative scores of all agencies.
Agency
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
N
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Output 1
12,247.45
53,888.77
34,292.86
7,348.47
19,595.92
58,787.75
14,696.94
39,191.84
19,595.92
17,146.43
12,247.69
61,237.24
9,797.96
68,585.71
44,090.82
8,573.21
12,222.95
36,742.35
Output 2
24,494.90
20,820.66
34,292.86
46,540.31
31,843.37
19,595.92
36,742.35
41,641.33
22,045.41
41,641.33
24,495.14
24,494.90
31,843.37
29,393.88
26,944.39
44,090.82
24,568.38
20,973.76
Agency
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
N
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Input 1
12,247.45
53,888.77
34,292.86
7,348.47
19,595.92
58,787.75
14,696.94
39,191.84
19,595.92
17,146.43
12,247.69
61,237.24
9,797.96
68,585.71
44,090.82
8,573.21
12,222.95
36,742.35
Input 2
24,494.90
20,820.66
34,292.86
46,540.31
31,843.37
19,595.92
36,742.35
41,641.33
22,045.41
41,641.33
24,495.14
24,494.90
31,843.37
29,393.88
26,944.39
44,090.82
24,568.38
20,973.76
Agency
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
N
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Index
Input 1
12,247.45
53,888.77
34,292.86
7,348.47
19,595.92
58,787.75
14,696.94
39,191.84
19,595.92
17,146.43
12,247.69
61,237.24
9,797.96
68,585.71
44,090.82
8,573.21
12,222.95
36,742.35
w1
Input 2
24,494.90
20,820.66
34,292.86
46,540.31
31,843.37
19,595.92
36,742.35
41,641.33
22,045.41
41,641.33
24,495.14
24,494.90
31,843.37
29,393.88
26,944.39
44,090.82
24,568.38
20,973.76
w2
Constraints
Objective
Linear programming
Agency
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
N
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Input 1
12,247.45
53,888.77
34,292.86
7,348.47
19,595.92
58,787.75
14,696.94
39,191.84
19,595.92
17,146.43
12,247.69
61,237.24
9,797.96
68,585.71
44,090.82
8,573.21
12,222.95
36,742.35
Input 2
24,494.90
20,820.66
34,292.86
46,540.31
31,843.37
19,595.92
36,742.35
41,641.33
22,045.41
41,641.33
24,495.14
24,494.90
31,843.37
29,393.88
26,944.39
44,090.82
24,568.38
20,973.76
Constraints
1.09
1.04
1.57
2.02
1.42
1.00
1.62
1.89
1.00
1.84
1.09
1.22
1.39
1.45
1.28
1.92
1.09
1.00
Index
18
w1
2.68584E-06
w2
4.29735E-05
Objective
1.00
Linear programming
Agency
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
N
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Input 1
12,247.45
53,888.77
34,292.86
7,348.47
19,595.92
58,787.75
14,696.94
39,191.84
19,595.92
17,146.43
12,247.69
61,237.24
9,797.96
68,585.71
44,090.82
8,573.21
12,222.95
36,742.35
Input 2
24,494.90
20,820.66
34,292.86
46,540.31
31,843.37
19,595.92
36,742.35
41,641.33
22,045.41
41,641.33
24,495.14
24,494.90
31,843.37
29,393.88
26,944.39
44,090.82
24,568.38
20,973.76
Objective
Relative Score
Relative score
Agency
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
N
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Input 1
12,247.45
53,888.77
34,292.86
7,348.47
19,595.92
58,787.75
14,696.94
39,191.84
19,595.92
17,146.43
12,247.69
61,237.24
9,797.96
68,585.71
44,090.82
8,573.21
12,222.95
36,742.35
Input 2
24,494.90
20,820.66
34,292.86
46,540.31
31,843.37
19,595.92
36,742.35
41,641.33
22,045.41
41,641.33
24,495.14
24,494.90
31,843.37
29,393.88
26,944.39
44,090.82
24,568.38
20,973.76
Objective
1.000000
1.039474
1.565789
1.000000
1.342857
1.000000
1.320000
1.894737
1.000000
1.520000
1.000011
1.217105
1.000000
1.447368
1.276316
1.054054
1.000000
1.000000
Relative Score
1.000000
0.962025
0.638655
1.000000
0.744681
1.000000
0.757576
0.527778
1.000000
0.657895
0.999989
0.821622
1.000000
0.690909
0.783505
0.948718
1.000000
1.000000
Relative score
Textbook p. 103
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Explanation & Answer:
2 pages
Tags:
economics
data
linear programming
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