SIMPLEX 13 24


Overview

Z.13 S
Z.14 S
Z.15 S
Z.16 S
Z.17 S
Z.18 S
Z.19 S
Z.20 S
Z.21 S
Z.22 S
Z.24 S


Sheet 1: Z.13 S

Tablica 1




























ci cj 1,2 1,8 0 0 0 0 0 M M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 S1 S2 S3 S4
M S1 6 3 -1 0 0 0 0 1 0 0 0 120 20
0 X4 6 3 0 1 0 0 0 0 0 0 0 240 40
M S2 1 3 0 0 -1 0 0 0 1 0 0 60 60
M S3 9 1 0 0 0 -1 0 0 0 1 0 36 4
M S4 6 6 0 0 0 0 -1 0 0 0 1 180 30

zj 22M 13M -M 0 -M -M -M M M M M Fc = 636M
cj - zj 1,2-22M 1,8-13M M 0 M M M 0 0 0 0






























Tablica 2




























ci cj 1,2 1,8 0 0 0 0 0 M M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 S1 S2 S3 S4
M S1 0 2,33 -1 0 0 0,67 0 1 0 -0,67 0 96 41,14
0 X4 0 2,33 0 1 0 0,67 0 0 0 -0,67 0 216 92,57
M S2 0 2,89 0 0 -1 0,11 0 0 1 -0,11 0 56 19,38
1,2 X1 1 0,11 0 0 0 -0,11 0 0 0 0,11 0 4 36,00
M S4 0 5,33 0 0 0 0,67 -1 0 0 -0,67 1 156 29,25

zj 1,2 0,13+10,56M -M 0 -M -0,13+1,44M -M M M 0,13-1,44M M Fc=4,8+308M
cj - zj 0 1,67-10,56M M 0 M 0,13-1,44M M 0 0 -0,13+2,44M 0

Sheet 2: Z.14 S

Tablica 1


































ci cj 5 6 2 0 0 0 0 M M M M M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 S1 S2 S3 S4 S5 S6 S7
M S1 6 2 26 -1 0 0 0 1 0 0 0 0 0 0 96 4
M S2 40 4 20 0 -1 0 0 0 1 0 0 0 0 0 160 8
M S3 3 20 60 0 0 -1 0 0 0 1 0 0 0 0 120 2
M S4 18 12 13 0 0 0 -1 0 0 0 1 0 0 0 152 12
M S5 0,5 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 0
M S6 4 0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0
M S7 0 4 -0,5 0 0 0 0 0 0 0 0 0 0 1 0 0

zj 71,5M 41M 117,5M -M -M -M -M M M M M M M M Fc = 528M
cj - zj 5-71,5M 6-41M 2-117,5M M M M M 0 0 0 0 0 0 0




MIN






























Tablica 1


































ci cj 5 6 2 0 0 0 0 M M M M M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 S1 S2 S3 S4 S5 S6 S7
M S1 4,7 -6,67 0 -1 0 0,43 0 1 0 -0,43 0 0 0 0 44 9
M S2 39 -2,67 0 0 -1 0,33 0 0 1 -0,33 0 0 0 0 120 3
2 X3 0,05 0,33 1 0 0 -0,02 0 0 0 0,02 0 0 0 0 2 40
M S4 17,35 7,67 0 0 0 0,22 -1 0 0 -0,22 1 0 0 0 126 7
M S5 0,5 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 0
M S6 4,05 0,33 0 0 0 -0,02 0 0 0 0,02 0 0 1 0 2 0
M S7 0,03 4,17 0 0 0 -0,01 0 0 0 0,01 0 0 0 1 1 40

zj 0,1+65,63M 0,67+1,83M 2 -M -M -0,03+0,96M -M M M 0,03-0,96M M M M M Fc=4+293M
cj - zj 4,9-65,63M 5,33+1,83M 0 M M 0,03-0,96M M 0 0 -0,03+1,96M 0 0 0 0


MIN















Sheet 3: Z.15 S

Tablica 1


















ci cj 7 14 0 0 M M bi bi / tik
Xb X1 X2 X3 X4 S1 S2
M S1 16 14 -1 0 1 0 48000 3000
M S2 20 10 0 -1 0 1 20000 1000

zj 36M 24M -M -M M M Fc = 68000M
cj - zj 7-36M 14-24M M M 0 0




















Tablica 2


















ci cj 7 14 0 0 M M bi bi / tik
Xb X1 X2 X3 X4 S1 S2
M S1 0 6 -1 0,8 1 -0,8 32000 5333
7 X1 1 0,5 0 -0,05 0 0,05 1000 2000

zj 7 3,5+6M -M -0,35+0,8M M 0,35-0,8M Fc=7000+32000M
cj - zj 0 10,5-6M M 0,35-0,8M 0 -0,35+1,8M






















































zle





Sheet 4: Z.16 S

Tablica 1


























ci cj 5,4 4 0,7 1 0 0 0 M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 S1 S2 S3
M S1 2500 10200 1400 0 -1 0 0 1 0 0 5000 0
M S2 0,6 0,3 0,5 3 0 -1 0 0 1 0 1,4 5
M S3 0 10 10 0 0 0 -1 0 0 1 75 8

zj 2500,6M 10210,3M 1410,5M 3M -M -M -M M M M Fc=5076,4M
cj - zj 5,4-2500,6M 4-10210,3M 0,7-1410,5M 1-3M M M M 0 0 0



MIN























Tablica 2


























ci cj 5,4 4 0,7 1 0 0 0 M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 S1 S2 S3
M S1 -17900 0 -15600 -102000 -1 34000 0 1 -34000 0 -42600
4 X2 2 1 1,66666666666667 10 0 -3,33333333333333 0 0 3,33333333333333 0 4,66666666666667 0,47
M S3 -20 0 -6,66666666666667 -100 0 33,3333333333333 -1 0 -33,3333333333333 1 28,3333333333333 -0,28

zj -17920M+8 4 -15606,67M+6,67 -102100M+40 -M 34033,33M-13,33 -M M -34033,33M+13,33 M Fc=1,96+1127M
cj - zj 4,56-808M 3,58-9364M 0 -3,2+8460M M 1,4-2820M M 0 -1,4+2821M 0

Sheet 5: Z.17 S

Tablica 1




































ci cj 180 220 130 150 0 0 0 0 0 0 M M M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 S1 S2 S3 S4 S5
M S1 50 20 30 0 -1 0 0 0 0 0 1 0 0 0 0 1000 33
M S2 20 0 20 10 0 -1 0 0 0 0 0 1 0 0 0 800 40
M S3 10 30 10 20 0 0 -1 0 0 0 0 0 1 0 0 1150 115
0 X8 10 30 10 20 0 0 0 1 0 0 0 0 0 0 0 1700 170
M S4 0 1 0 0 0 0 0 0 -1 0 0 0 0 1 0 20 0
M S5 1 0 -1,5 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 X10 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 30 0

zj 81M 51 58,5M 30M -M -M -M 0 -M 0 M M M M M Fc = 2970M
cj - zj 180-81M 220-51M 130-58,5 150-30M M M M 0 M 0 0 0 0 0 0

























































Tablica 1




































ci cj 180 220 130 150 0 0 0 0 0 0 M M M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 S1 S2 S3 S4 S5
130 X3 1,67 0,67 1 0 -0,03 0 0 0 0 0 0,03 0 0 0 0 33,33 0
M S2 -13,33 -13,33 0 10 0,67 -1 0 0 0 0 -0,67 1 0 0 0 133,33 13
M S3 -6,67 23,33 0 20 0,33 0 -1 0 0 0 -0,33 0 1 0 0 816,67 41
0 X8 -6,67 23,33 0 20 0,33 0 0 1 0 0 -0,33 0 0 0 0 1366,67 68
M S4 0 1 0 0 0 0 0 0 -1 0 0 0 0 1 0 20 0
M S5 3,5 1 0 0 -0,05 0 0 0 0 0 0,05 0 0 0 1 50 0
0 X10 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 30 30

zj 216,67-16,5M 86,67+12M 130 30M -4,33+0,95M -M -M 0 -M 0 4,33-0,95M M M M M Fc=4333,33+1020M
cj - zj -36,67+16,5M 133,33-12M 0 150-30M 4,33-0,95M M M 0 M 0 -4,33+1,95M 0 0 0 0

Sheet 6: Z.18 S

Tablica 1




















ci cj 5 2,5 0 0 0 M M bi bi / tik
Xb X1 X2 X3 X4 X5 S1 S2
0 X3 0,5 0,25 1 0 0 0 0 25 100
M S1 0,1 0,03 0 -1 0 1 0 3 100
M S2 0,01 0,01 0 0 -1 0 1 0,5 50

zj 0,11M 0,04M 0 -M -M M M Fc = 3,5M
cj - zj 5-0,11M 2,5-0,04M 0 M M 0 0






















Tablica 2




















ci cj 5 2,5 0 0 0 M M bi bi / tik
Xb X1 X2 X3 X4 X5 S1 S2
0 X3 0,25 0 1 0 25 0 -25 12,5 50
M S1 0,07 0 0 -1 3 1 -3 1,5 21,43
2,5 X2 1 1 0 0 -100 0 100 50 50

zj 2,5+0,07M 2,5 0 -M -250+3M M 250-3M Fc = 125 + 1,5M
cj - zj 2,5-0,07M 0 0 M 250-3M 0 -250+4M

Sheet 7: Z.19 S

Tablica 1
























ci cj 6 3 0 0 0 0 M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 S1 S2 S3
M S1 0,04 0,12 -1 0 0 0 1 0 0 24 200
M S2 0,14 0,07 0 -1 0 0 0 1 0 49 700
0 X5 0,1 0,1 0 0 1 0 0 0 0 70 700
M S3 1 1 0 0 0 -1 0 0 1 500 500

zj 1,18M 1,19M -M -M 0 -M M M M Fc = 573M
cj - zj 6-1,18M 3-1,19M M M 0 M 0 0 0


























Tablica 2
























ci cj 6 3 0 0 0 0 M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 S1 S2 S3
3 X2 0,33 1 -8,33 0 0 0 8,33 0 0 200 600
M S2 0,12 0 0,58 -1 0 0 -0,58 1 0 35 300
0 X5 0,07 0 0,83 0 1 0 -0,83 0 0 50 750
M S3 0,67 0 8,33 0 0 -1 -8,33 0 1 300 450

zj 1+0,78M 3 -25+8,92M -M 0 -M 25-8,92M M M Fc=600+335M
cj - zj 5-0,78M 0 25-8,92M M 0 M -25+9,92M 0 0

Sheet 8: Z.20 S

Tablica 1











a) Tablica 1






































ci cj 3 9 0 0 0 0 M M bi bi / tik

ci cj 3 9 0 0 0 0 M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 S1 S2

Xb X1 X2 X3 X4 X5 X6 S1 S2 S3
M S1 2 7 -1 0 0 0 1 0 28 14

M S1 2 7 -1 0 0 0 1 0 0 28 14
M S2 10 2,5 0 -1 0 0 0 1 50 5

M S2 10 2,5 0 -1 0 0 0 1 0 50 5
0 X5 5 4 0 0 1 0 0 0 60 12

0 X5 5 4 0 0 1 0 0 0 0 60 12
0 X6 1 -1 0 0 0 1 0 0 0 0

M S3 1 -1 0 0 0 -1 0 0 1 0 0

zj 12M 9,5M -M -M 0 0 M M Fc = 78M


zj 12M 9,5M -M -M 0 0 M M M Fc = 78M
cj - zj 3-12M 9-9,5M M M 0 0 0 0

cj - zj 3-12M 9-9,5M M M 0 0 0 0 0






















































Tablica 2












Tablica 1






































ci cj 3 9 0 0 0 0 M M bi bi / tik

ci cj 3 9 0 0 0 0 M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 S1 S2

Xb X1 X2 X3 X4 X5 X6 S1 S2 S3
M S1 0 9 -1 0 0 -2 1 0 28 3,11

M S1 0 9 -1 0 0 2 1 0 -2 28 3,11
M S2 0 12,5 0 -1 0 -10 0 1 50 4

M S2 0 12,5 0 -1 0 10 0 1 -10 50 4
0 X5 0 9 0 0 1 -5 0 0 60 6,67

0 X5 0 9 0 0 1 5 0 0 -5 60 6,67
3 X1 1 -1 0 0 0 1 0 0 0 0

3 X1 1 -1 0 0 0 -1 0 0 1 0 0

zj 3 -3+21,5M -M -M 0 3-12M M M Fc=78M


zj 3 -3+21,5M -M -M 0 -3+12M M M 3-12M Fc = 78M
cj - zj 0 12-21,5M M M 0 -3+12M 0 0

cj - zj 0 12-21,5M M M 0 3-12M 0 0 -3+13M

Sheet 9: Z.21 S

Tablica 1




























ci cj 100 50 200 0 0 0 0 M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 S1 S2 S3
0 X4 0,28 0,14 0,1 1 0 0 0 0 0 0 420 3000
0 X5 0,1 0,12 0,06 0 1 0 0 0 0 0 240 2000
M S1 0,3 0,2 0,3 0 0 -1 0 1 0 0 750 3750
M S2 0,1 0,1 0,15 0 0 0 -1 0 1 0 360 3600
M S3 1 1 1 0 0 0 0 0 0 1 3000 3000

zj 1,4M 1,3M 1,45M 0 0 -M -M M M M Fc = 4110M
cj - zj 100-1,4M 50-1,3M 200-1,45M 0 0 M M 0 0 0






























Tablica 1




























ci cj 100 50 200 0 0 0 0 M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 S1 S2 S3
0 X4 0,16 0 0,03 1 -1,17 0 0 0 0 0 140 857,14
50 X2 0,83 1 0,5 0 8,33 0 0 0 0 0 2000 2400
M S1 0,13 0 0,2 0 -1,67 -1 0 1 0 0 350 2625
M S2 0,02 0 0,1 0 -0,83 0 -1 0 1 0 160 9600
M S3 0,17 0 0,5 0 -8,33 0 0 0 0 1 1000 6000

zj 41,67+0,32M 50 25+0,8M 0 416,67-10,83M -M -M M M M Fc=100000+1510M
cj - zj 58,33-0,32M 0 175-0,8M 0 -416,67+10,83M M M 0 0 0















































































































































































































































0,027



























0,0003
0,9












0,0003
0,04














3,6

Sheet 10: Z.22 S

Tablica 1




























ci cj 5 3 4 0 0 0 0 M M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 S1 S2 S3 S4
M S1 0,026 0,021 0,021 -1 0 0 0 1 0 0 0 10,2 485,714285714286
M S2 0,004 0,009 0,006 0 -1 0 0 0 1 0 0 2,4 266,666666666667
M S3 0,006 0,002 0,006 0 0 -1 0 0 0 1 0 2,7 1350
0 X7 0,006 0,002 0,006 0 0 0 1 0 0 0 0 4 2000
M S4 -2 0 1 0 0 0 0 0 0 0 1 0 0

zj -1,964M 0,032M 1,033M -M -M -M 0 M M M M Fc = 15,3M
cj - zj 5+1,964M 3-0,032M 4-1,033M M M M 0 0 0 0 0






























Tablica 2




























ci cj 5 3 4 0 0 0 0 M M M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 X7 S1 S2 S3 S4
M S1 0,017 0 0,007 -1 2,333 0 0 1 -2,333 0 0 4,600 657,143
3 X2 0,444 1 0,667 0 -111,111 0 0 0 111,111 0 0 266,667 400,000
M S3 0,005 0 0,005 0 0,222 -1 0 0 -0,222 1 0 2,167 464,286
0 X7 0,005 0 0,005 0 0,222 0 1 0 -0,222 0 0 3,467 742,857
M S4 -2 0 1 0 0 0 0 0 0 0 1 533,333 533,333

zj 1,33-1,978M 3 2+1,012M -M -333,33+2,56M -M 0 M 333,33-2,56M M M Fc=800+540,1M
cj - zj 3,67+1,978M 0 2-1,012M M 333,33-2,56M M 0 0 -333,33+3,56M 0 0

Sheet 11: Z.24 S

Tablica 1






















ci cj 9,6 14,4 10,8 7,2 0 0 M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 S1 S2
M S1 0,8 2,4 0,9 0,4 -1 0 1 0 1200 3000
M S2 0,6 0,6 0,3 0,3 0 -1 0 1 600 2000

zj 1,4M 3M 1,2M 0,7M -M -M M M Fc = 1800M
cj - zj 9,6-1,4M 14,4-3M 10,8-1,2M 7,2-0,7M M M 0 0
























Tablica 2






















ci cj 9,6 14,4 10,8 7,2 0 0 M M bi bi / tik
Xb X1 X2 X3 X4 X5 X6 S1 S2
M S1 0 1,6 0,5 0 -1 1,33 1 -1,33 400 0
7,2 X4 2 2 1 1 0 -3,33 0 3,33 2000 1000

zj 14,4 14,4 7,2 7,2 -M -24+1,33M M 24-1,33M Fc=14400+400M
cj - zj -4,8 0 3,6 0 M 24-1,33M 0 -24+2,33M

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