Контрольная работа №2
Задание №1
Выбрать соответствующий номеру по списку группы вариант с данными и решить следующую задачу:
Имеются четыре предприятия, между которыми необходимо распределить 100 тыс. усл. Ед. средств. Значения прироста выпуска продукции на предприятиях в зависимости от выделенных средств X представлены в таблице. Составить оптимальный план распределения средств, позволяющий максимизировать общий прирост выпуска продукции.
1
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
16
|
14
|
15
|
15
|
|
40
|
30
|
32
|
36
|
25
|
|
60
|
49
|
50
|
45
|
22
|
|
80
|
51
|
48
|
57
|
36
|
|
100
|
72
|
60
|
70
|
51
|
2
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
19
|
14
|
20
|
25
|
|
40
|
36
|
32
|
36
|
53
|
|
60
|
51
|
52
|
47
|
66
|
|
80
|
72
|
61
|
72
|
70
|
|
100
|
81
|
79
|
80
|
84
|
3
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
10
|
14
|
14
|
19
|
|
40
|
16
|
14
|
15
|
15
|
|
60
|
30
|
32
|
36
|
25
|
|
80
|
45
|
43
|
47
|
36
|
|
100
|
60
|
50
|
55
|
53
|
4
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
14
|
17
|
22
|
20
|
|
40
|
26
|
20
|
21
|
33
|
|
60
|
35
|
32
|
37
|
46
|
|
80
|
52
|
61
|
67
|
30
|
|
100
|
61
|
72
|
58
|
42
|
5
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
42
|
40
|
25
|
24
|
|
40
|
34
|
52
|
36
|
45
|
|
60
|
47
|
50
|
46
|
32
|
|
80
|
51
|
48
|
57
|
36
|
|
100
|
62
|
60
|
67
|
54
|
6
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
19
|
48
|
42
|
45
|
|
40
|
36
|
32
|
56
|
53
|
|
60
|
54
|
62
|
67
|
66
|
|
80
|
72
|
81
|
82
|
70
|
|
100
|
88
|
95
|
98
|
84
|
7
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
22
|
17
|
18
|
35
|
|
40
|
43
|
39
|
33
|
42
|
|
60
|
49
|
51
|
45
|
55
|
|
80
|
61
|
75
|
57
|
68
|
|
100
|
82
|
79
|
67
|
81
|
8
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
12
|
15
|
11
|
10
|
|
40
|
23
|
27
|
21
|
19
|
|
60
|
30
|
29
|
34
|
36
|
|
80
|
42
|
46
|
45
|
47
|
|
100
|
58
|
61
|
57
|
54
|
9
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
9
|
11
|
14
|
8
|
|
40
|
19
|
14
|
20
|
15
|
|
60
|
30
|
32
|
16
|
25
|
|
80
|
36
|
30
|
38
|
33
|
|
100
|
48
|
44
|
52
|
36
|
10
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
19
|
33
|
29
|
35
|
|
40
|
26
|
43
|
36
|
45
|
|
60
|
35
|
52
|
49
|
56
|
|
80
|
47
|
60
|
62
|
72
|
|
100
|
68
|
79
|
82
|
94
|
11
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
12
|
24
|
10
|
20
|
|
40
|
21
|
17
|
16
|
25
|
|
60
|
20
|
21
|
25
|
22
|
|
80
|
30
|
38
|
22
|
23
|
|
100
|
42
|
35
|
18
|
41
|
12
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
22
|
24
|
28
|
25
|
|
40
|
38
|
32
|
46
|
33
|
|
60
|
45
|
44
|
57
|
46
|
|
80
|
52
|
56
|
67
|
58
|
|
100
|
51
|
69
|
70
|
68
|
13
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
12
|
24
|
25
|
18
|
|
40
|
23
|
32
|
36
|
22
|
|
60
|
33
|
40
|
44
|
32
|
|
80
|
45
|
48
|
47
|
36
|
|
100
|
52
|
60
|
57
|
35
|
14
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
29
|
24
|
22
|
25
|
|
40
|
36
|
33
|
36
|
35
|
|
60
|
48
|
22
|
44
|
46
|
|
80
|
52
|
46
|
53
|
49
|
|
100
|
58
|
39
|
68
|
38
|
15
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
6
|
4
|
5
|
8
|
|
40
|
10
|
12
|
16
|
15
|
|
60
|
24
|
25
|
24
|
22
|
|
80
|
21
|
24
|
27
|
31
|
|
100
|
32
|
30
|
37
|
45
|
16
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
9
|
14
|
10
|
15
|
|
40
|
26
|
22
|
23
|
18
|
|
60
|
35
|
28
|
27
|
16
|
|
80
|
32
|
38
|
32
|
20
|
|
100
|
41
|
46
|
48
|
34
|
17
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
2
|
6
|
8
|
5
|
|
40
|
8
|
3
|
6
|
9
|
|
60
|
12
|
5
|
10
|
14
|
|
80
|
11
|
8
|
7
|
13
|
|
100
|
20
|
10
|
17
|
15
|
18
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
12
|
26
|
31
|
32
|
|
40
|
49
|
30
|
46
|
45
|
|
60
|
45
|
59
|
64
|
56
|
|
80
|
82
|
56
|
82
|
87
|
|
100
|
86
|
89
|
90
|
84
|
19
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
12
|
10
|
16
|
19
|
|
40
|
30
|
32
|
36
|
25
|
|
60
|
44
|
54
|
35
|
22
|
|
80
|
51
|
48
|
47
|
36
|
|
100
|
62
|
56
|
57
|
48
|
20
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
11
|
24
|
12
|
35
|
|
40
|
26
|
22
|
28
|
33
|
|
60
|
31
|
32
|
37
|
36
|
|
80
|
42
|
41
|
47
|
40
|
|
100
|
58
|
59
|
53
|
54
|
21
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
16
|
12
|
15
|
24
|
|
40
|
30
|
36
|
36
|
22
|
|
60
|
49
|
34
|
45
|
32
|
|
80
|
51
|
47
|
57
|
41
|
|
100
|
72
|
57
|
70
|
59
|
22
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
12
|
10
|
16
|
19
|
|
40
|
26
|
22
|
28
|
33
|
|
60
|
51
|
52
|
48
|
56
|
|
80
|
42
|
41
|
47
|
40
|
|
100
|
68
|
71
|
58
|
54
|
23
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
12
|
14
|
15
|
13
|
|
40
|
36
|
32
|
36
|
33
|
|
60
|
34
|
50
|
45
|
35
|
|
80
|
47
|
48
|
57
|
37
|
|
100
|
57
|
60
|
70
|
47
|
24
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
12
|
14
|
20
|
29
|
|
40
|
36
|
32
|
36
|
33
|
|
60
|
34
|
42
|
27
|
46
|
|
80
|
49
|
56
|
32
|
50
|
|
100
|
55
|
59
|
38
|
44
|
25
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
11
|
14
|
12
|
15
|
|
40
|
24
|
32
|
39
|
25
|
|
60
|
34
|
50
|
40
|
22
|
|
80
|
27
|
48
|
37
|
36
|
|
100
|
37
|
60
|
47
|
57
|
26
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
29
|
24
|
28
|
25
|
|
40
|
36
|
23
|
39
|
23
|
|
60
|
45
|
32
|
47
|
36
|
|
80
|
47
|
46
|
37
|
40
|
|
100
|
41
|
57
|
50
|
34
|
27
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
12
|
14
|
15
|
19
|
|
40
|
37
|
32
|
36
|
45
|
|
60
|
27
|
50
|
45
|
38
|
|
80
|
40
|
48
|
57
|
48
|
|
100
|
56
|
60
|
70
|
77
|
28
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
19
|
14
|
33
|
25
|
|
40
|
45
|
32
|
45
|
53
|
|
60
|
38
|
52
|
33
|
66
|
|
80
|
48
|
61
|
67
|
70
|
|
100
|
77
|
79
|
61
|
84
|
29
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
10
|
12
|
14
|
19
|
|
40
|
14
|
37
|
48
|
45
|
|
60
|
34
|
27
|
37
|
38
|
|
80
|
42
|
40
|
48
|
48
|
|
100
|
66
|
56
|
64
|
77
|
30
|
X
|
g1(x)
|
g2(x)
|
g3(x)
|
g4(x)
|
|
20
|
14
|
19
|
33
|
41
|
|
40
|
48
|
45
|
59
|
81
|
|
60
|
37
|
38
|
33
|
52
|
|
80
|
48
|
58
|
77
|
73
|
|
100
|
64
|
67
|
61
|
92
|
| 
