nechodím na prednášky3 zadanie
LOM - MIN
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Náhľad poznámky
x1 + 2x2 + 4x3 + 2x4 ≥ 1200 [kg]
0. Krok
X0 = [0 0 0 0 0 0 0 1200 1800 2120]
3x1 + 4x2 + x3 + 2x4 ≥ 1800 [kg]
1. Krok
X1 = [1060 0 0 0 0 0 0 446,67 84 0]
4x1 + 2x2 + x3 + 4x4 ≥ 2120 [kg]
2. Krok
X2 = [0 0 488 0 0 0 0 136 0 0 ]
3. Krok
X3 = [136 152 352 0 0 0 0 0 0 0]
4.Krok
X4 = [0 1280 0 0 0 0 0 0 0 0]
5. Krok
Báza
x1
x2
x3
x4
x5
x6
x7
x8
x8
1
2
4
2
-1
0
0
1
x9
3
4
1
2
0
-1
0
0
x10
4
2
3
4
0
0
-1
0
Zpom
8
8
8
8
-1
-1
-1
0
Zmin
-4
-2
-1.5
-0.2
0
0
0
0
x8
0
1.5
3.25
1
-1
0
0.25
1
x9
0
2.5
-1.25
-1
0
-1
0.75
0
x1
1
0.5
0.75
1
0
0
-0.25
0
Zpom
0
4
2
0
-1
-1
1
0
Zmin
0
0
1.5
3.8
0
0
-1
0
x8
0
0
4
1.6
-1
0.6
-0.2
1
x2
0
1
-0.5
-0.4
0
-0.4
0.3
0
x3
1
0
1
1.2
0
0.2
-0.4
0
Zpom
0
0
4
1.6
-1
0.6
-0.2
0
Zmin
0
0
1.5
3.8
0
0
-1
0
x1
0
0
1
0.4
-0.25
0.15
-0.05
0.25
x2
0
1
0
-0.2
-0.13
-0.33
0.28
0.13
x3
1
0
0
0.8
0.25
0.05
-0.35
-0.25
Zpom
0
0
0
0
0
0
0
-1
Zmin
0
0
0
3.2
0.38
-0.23
-0.93
-0.38
Báza
x1
x2
x3
x4
x5
x6
x7
b
x1
0
0
1
0.4
-0.25
0.15
-0.05
136
x2
0
1
0
-0.2
-0.13
-0.33
0.28
152
x3
1
0
0
0.8
0.25
0.05
-0.35
352
Zmin
0
0
0
3.2
0.38
-0.23
-0.93
1916
x1
-0.5
0
1
0
-0.38
0.13
0.13
-40
x2
0.25
1
0
0
-0.06
-0.31
0.19
240
x4
1.25
0
0
1
0.31
0.06
-0.44
440
Zmin
-4
0
0
0
-0.63
-0.43
0.48
508
x7
1.32
5.26
0
0
-0.33
-1.64
0.986842
1263.16
x1
-0.67
-0.68
1
0
-0.33
0.34
-0.003289
-204.21
x4
1.83
2.32
0
1
0.17
-0.66
-0.003289
995.79
Zmin
-4.63
-2.53
0
0
-0.47
0.36
0.001316
-98.32
x6
-1.97
-2.01
2.94
0
-0.98
1.00
-0.01
-600.62
x7
-1.92
1.96
4.82
0
-1.93
-0.01
0.97
278.14
x4
0.53
0.99
1.94
1.00
-0.48
0.00
-0.01
599.38
Zmin
-3.92
-1.80
-1.06
0
-0.12
0.01
0.00
117.91
Zmin = 4x1 + 2x2 + 1,5x3 + 0,2x4 [102 SK]
x1 + 2x2 + 4x3 + 2x4 - x5 + x8 ≠ 1200 [kg]
3x1 + 4x2 + x3 + 2x4 - x6 + x9 ≠ 1800 [kg]
4x1 + 2x2 + x3 + 4x4 - x7 + x10 ≠ 2120 [kg]
X0 = [0 0 0 0 0 0 0 1200 1800 2120]
Zpom = 5120
Zmin = 0
X1 = [1060 0 0 0 0 0 0 446,67 84 0]
Zpom = 880
Zmin = 2120
X2 = [0 0 488 0 0 0 0 136 0 0 ]
Zpom = 544
Zmin = 2120
X3 = [136 152 352 0 0 0 0 0 0 0]
Zpom = 0
Zmin = 1916
X4 = [0 1280 0 0 0 0 0 0 0 0]
Zmin = 1069,47
x9
x10
b
Podiel
Postup
0
0
1200
1200
r1
1
0
1800
600
r2
0
1
2120
530
r3
0
0
5120
r4
0
0
0
r5
0
-0.25
670
446.67
r6 = r1- 1*r8
1
-0.75
210
84
r7 = r2- 3*r8
0
0.25
530
1060
r8 = r3/4
0
-2
880
r9 = r4- 8*r8
0
1
2120
r10 = r5+ 4*r8
-0.6
0.2
544
136
r11 = r6- 1,5*r12
0.4
-0.3
84
––
r12 = r7/2,5
-0.2
0.4
488
488
r13 = r8- 0,5*r12
-1.6
-0.8
544
r14 = r9- 4*r12
0
1
2120
r15 = r10- 0*r12
-0.15
0.05
136.00
r16 = r11/4
0.33
-0.28
152.00
r17 = r12 +0,5*r16
-0.05
0.35
352.00
r18 = r13- 1*r16
-1
-1
0
r19 = r14- 4*r16
0.23
0.93
1916.00
r20 = r15- 1,5*r16
Podiel
Postup
340
r16
-760
r17
440
r18
598.75
r20
––––
r21 = r16- 0,4*r23
1280
r22 = r17+ 0,2*r23
––––
r23 = r18/0,8
1069.47 r24 = r20- 3,2*r23
––––-
r25 = r22/0,19
––––-
r26 = r21- 0,13*r25
––––-
r27 = r23+ 0,44*r25
––––-
r28 = r24- 0,48*r25
r29 = r26/0,34
r30 = r25+ 1,64*r29
r31 = r27+ 0,66*r29
r32 = r28- 0,36*r29
Document Outline
Automaticky vygenerovaný textový náhľad. Pre plné formátovanie si stiahnite súbor.