Team Leader: Anastasia Pichugina
Members: Nikita Rashkin, Demyan Zverev, Fanis Zinnurov, Emil Davlityarov, Roman Pakhomov
To see differences between alpha = 0.5 and alpha = 0.9, values were rounded to 6 characters after the dot.
3 2 0 0 0
2 1 1 0 0
2 3 0 1 0
3 1 0 0 1
18 42 24
1e-6
Ans:
Initial point:
x1: 1.0
x2: 1.0
x3: 15.0
x4: 37.0
x5: 20.0
With alpha = 0.5:
Z: 33.000003
x1: 3.0
x2: 12.000001
x3: 0.0
x4: 1e-06
x5: 3.0
With alpha = 0.9:
Z: 32.999991
x1: 3.000002
x2: 11.999993
x3: 0.0
x4: 0.0
x5: 3.0
Ans of simplex:
-3 -2 0 0 0 0
2 1 1 0 0 18
2 3 0 1 0 42
3 1 0 0 1 24
0 -1 0 0 1 24
0 1/3 1 0 -2/3 2
0 7/3 0 1 -2/3 26
1 1/3 0 0 1/3 8
0 0 3 0 -1 30
0 1 3 0 -2 6
0 0 -7 1 4 12
1 0 -1 0 1 6
0 0 5/4 1/4 0 33
0 1 -1/2 1/2 0 12
0 0 -7/4 1/4 1 3
1 0 3/4 -1/4 0 3
x1 = 3
x2 = 12
Sol. = 33
4 5 4 0 0 0
2 3 -6 1 0 0
4 2 -4 0 1 0
4 6 -8 0 0 1
240 200 160
1
Ans:
The method is not applicable!
Ans of simplex:
-4 -5 -4 0 0 0 0
2 3 -6 1 0 0 240
4 2 -4 0 1 0 200
4 6 -8 0 0 1 160
-2/3 0 -32/3 0 0 5/6 400/3
0 0 -2 1 0 -1/2 160
8/3 0 -4/3 0 1 -1/3 440/3
2/3 1 -4/3 0 0 1/6 80/3
The method is not applicable!
3 2 0 0 0
2 1 1 0 0
2 3 0 1 0
3 1 0 0 1
-18 42 24
1e-6
Ans:
The method is not applicable!
Ans of simplex:
The method is not applicable!
9 10 16 0 0 0
18 15 12 1 0 0
6 4 8 0 1 0
5 3 3 0 0 1
360 192 180
1e-6
Ans:
Initial point:
x1: 1.0
x2: 1.0
x3: 1.0
x4: 315.0
x5: 174.0
x6: 169.0
With alpha = 0.5:
Z: 399.999946
x1: 0.0
x2: 7.999999
x3: 19.999997
x4: 8e-06
x5: 1e-06
x6: 96.000001
With alpha = 0.9:
Z: 400.000003
x1: 0.0
x2: 7.999999
x3: 20.000001
x4: 1e-06
x5: 0.0
x6: 95.999997
Ans of simplex:
-9 -10 -16 0 0 0 0
18 15 12 1 0 0 360
6 4 8 0 1 0 192
5 3 3 0 0 1 180
3 -2 0 0 2 0 384
9 9 0 1 -3/2 0 72
3/4 1/2 1 0 1/8 0 24
11/4 3/2 0 0 -3/8 1 108
5 0 0 2/9 5/3 0 400
1 1 0 1/9 -1/6 0 8
1/4 0 1 -1/18 5/24 0 20
5/4 0 0 -1/6 -1/8 1 96
x1 = 0
x2 = 8
x3 = 20
Sol. = 400
1 2 0 0 0
-2 1 1 0 0
-1 2 0 1 0
1 0 0 0 1
2 7 3
1e-6
Ans:
Initial point:
x1: 1.0
x2: 1.0
x3: 3.0
x4: 6.0
x5: 2.0
With alpha = 0.5:
Z: 12.999999
x1: 3.0
x2: 5.0
x3: 3.0
x4: 0.0
x5: 0.0
With alpha = 0.9:
Z: 13.0
x1: 3.0
x2: 5.0
x3: 3.0
x4: 0.0
x5: 0.0
Ans of simplex:
-1 -2 0 0 0 0
-2 1 1 0 0 2
-1 2 0 1 0 7
1 0 0 0 1 3
-5 0 2 0 0 4
-2 1 1 0 0 2
3 0 -2 1 0 3
1 0 0 0 1 3
0 0 -4/3 5/3 0 9
0 1 -1/3 2/3 0 4
1 0 -2/3 1/3 0 1
0 0 2/3 -1/3 1 2
x1 = 1
x2 = 4
x3 = 0
x4 = 0
x5 = 2
Sol. = 9