Balance de flotacion por el metodo computacional

1.8 %Cu 7.9 %Cu
29 %Cu
1.0 %Cu ECUACIONES DEL DIAGRAMA
CIRCUITO ROUGHER
19.9 %Cu 1xC1 - W1xC2 + (W1-1)xC3 = 0
CIRCUITO SCAVENGER
(1-W1)xC3 + (W1-W6+W2)xC4 - W2xC5 + (W6-1)xC6 = 0
CIRCUITO CLEANER
(W6-W1-W2)xC4 + W2xC5 - W3xC7 + (W3+W1-W6)xC8 = 0
CAJON MIXTO
W1xC2 + W3xC7 + W5xC9-W4xC10 = 0
4.4 %Cu
CELDA COLUMNA
W4xC10 - W6xC11+ (W6-W4)xC12 = 0
CELDA WENCO
0.79 %Cu (W6-W3-W1)xC8x - W5xC9 + (W4 - W6)xC12 = 0
0.10 %Cu
0.14 %Cu
0.7 %Cu
Ingreso de Datos Cu Ag Fe Ins
Datos Calculados 0.097 0.120 0.065 0.007
Celda Objetivo
0.324 0.3236 19,490
0.289 0.2889 18.33
0.2823 0.2823 793.75
0.162 0.1624 82.69
0.185 0.1850 82.69
0.00
W1 = 0.0715
W2 = 0.0717
W3 = 0.0254
W4 = 0.0996
W5 = 0.0033
W6 = 0.0226
Puntos Ci % Cu Ag (g/Tm) % Fe % Ins % Cu Ag (g/TMm % Fe % Ins
Alimento C1 0.79 1.41 2.85 82.65 0.73 1.45 2.69 82.74
Conc. Roug C2 8.53 13.67 9.35 60.98 8.12 15.74 8.94 59.49
Rel. Roug C3 0.19 0.47 2.35 84.32 0.22 0.43 2.31 84.14
Rel Cleaner C4 0.10 0.39 2.91 79.63 0.11 0.38 3.10 79.17
Conc. Scv C5 0.75 1.91 3.43 78.12 0.73 2.00 3.30 78.39
Rel. Final C6 0.14 0.35 2.34 84.20 0.13 0.38 2.51 84.31
Conc. Clean C7 4.43 11.44 7.93 68.51 4.32 11.62 8.10 67.76
Rel. Wenco C8 0.96 2.69 4.12 77.29 0.95 2.77 3.97 76.12
Conc. Wenco C9 19.94 46.11 21.59 26.55 19.42 47.55 21.54 26.52
Conc. Mixto(Alim Column) C10 7.91 14.26 9.44 62.09 10.67 11.30 11.90 67.02
Conc. Final C11 28.82 47.30 24.95 15.77 27.81 53.50 23.90 15.74
Rel Columna C12 1.79 4.58 4.90 75.66 1.83 4.65 4.66 74.87
Función Objetivo Parcial
(c©-c)' Mi-1
(c©-c)=
8.5 %Cu
Tonelaje
Concentrado
Relave
Recuper. Calc.
Recup. Turno
COMPROBACION DEL BALANCE - CONSIDERANDO EL MÉTODO
COMPUTACIONAL
Cu, Ag, Fe,Ins,%Sol
Cu, Ag, Fe,Ins
Cu, Ag.Fe
Cu, Fe
Ag, Fe
Conc. Mixto(Alim columna)
Conc. Wenco
Conc. Final
Conc. Roug
Conc. Scv
DIAGRAMA DE FLUJO DE FLOTACION
0.2 %Cu
Conc. Clean
Valores ExperimentalesValores cálculados
WENCO
COLUMNA
CLEANER
ROUGHER
SCAVENGER
CAJON MIXTO

CELDA ROUGHER
tms/h % Cu Ag (g/Tm) % Fe Cu (tms) Ag (gr) Fe (tms) % Cu % Ag % Fe
Cb Rgh 812 0.79 1.41 2.8 6.4 1144.2 23.1 100.0 100.0 100.0
Conc Rgh 58 8.53 13.67 9.3 5.0 793.5 5.4 77.5 69.4 23.5
Rlv Rgh 754 0.19 0.47 2.3 1.4 350.7 17.7 22.5 30.6 76.5
Cab Calc 812 0.79 1.41 2.8 6.39 1144.2 23.1 100.0 100.0 100.0
CELDA SCAVENGER
Rlv Rgh 754 0.19 0.47 2.3 1.44 350.7 17.7 93.4 90.3 86.1
Rlv Clean 98 0.10 0.39 2.9 0.10 37.7 2.8 6.6 9.7 13.9
Rlv Rgh + Rlv Clean 852 0.18 0.46 2.4 1.54 388.4 20.5 100.0 100.0 100.0
Conc Scv 58 0.75 1.91 3.4 0.43 111.4 2.0 28.2 28.7 9.7
Rel. Final 794 0.14 0.35 2.3 1.11 277.1 18.5 71.8 71.3 90.3
Cab Calc 852 0.18 0.46 2.4 1.54 388.4 20.5 100.0 100.0 100.0
CELDA CLEANER
Rlv Wenco 60 0.96 2.69 4.1 0.58 162.4 2.5 57.2 59.3 55.5
Conc Scv 58 0.75 1.91 3.4 0.43 111.4 2.0 42.8 40.7 44.5
Rlv Wenc + Conc Scv 119 0.86 2.31 3.8 1.02 273.8 4.5 100.0 100.0 100.0
Conc Clean 21 4.43 11.44 7.9 0.91 236.0 1.6 89.9 86.2 36.5
Rlv Cln 98 0.10 0.39 2.9 0.10 37.7 2.8 10.1 13.8 63.5
Cab Calc 119 0.86 2.31 3.8 1.02 273.8 4.5 100.0 100.0 100.0
CAJON MIXTO DE CONCENTRADOS
Cab Colum 81 7.91 14.26 9.4 6.4 1153.7 7.6 100.0 100.0 100.0
Conc Rgh 58 8.53 13.67 9.3 5.0 793.5 5.4 77.3 68.8 71.0
Conc Clean 21 4.43 11.44 7.9 0.9 236.0 1.6 14.3 20.5 21.4
Conc Wenc 3 19.94 46.11 21.6 0.5 124.2 0.6 8.4 10.8 7.6
Cab Calc 81 7.87 14.18 9.4 6.40 1153.7 7.6 100.0 100.0 100.0
CELDAS COLUMNAS
Cab. Colum 81 7.91 14.26 9.4 6.40 1153.7 7.64 100.0 100.0 100.0
Conc. Colum 18 28.82 47.30 24.9 5.28 867.1 4.57 82.5 75.2 59.8
Rlv Colum 63 1.79 4.58 4.9 1.12 286.6 3.07 17.5 24.8 40.2
Cab Calc 81 7.91 14.26 9.4 6.40 1153.7 7.6 100.0 100.0 100.0
CELDA WENCO
Rlv Colum 63 1.79 4.58 4.9 1.12 286.6 3.1 100.0 100.0 100.0
Conc Wemc 3 19.94 46.11 21.6 0.54 124.2 0.6 48.2 43.5 19.1
Rlv Wemco 60 0.96 2.69 4.1 0.58 161.2 2.5 51.8 56.5 80.9
Cab Calc 63 1.78 4.56 4.9 1.11 285.4 3.0 100.0 100.0 100.0
BALANCE GENERAL FLOTACIÓN
Cabeza 812 0.79 1.41 2.8 6.39 1144.2 23.1 100.0 100.0 100.0
Conc. Final 18 28.82 47.30 24.9 5.28 867.1 4.6 82.7 75.8 19.8
Rlv. Final 794 0.14 0.35 2.3 1.11 277.1 18.5 17.3 24.2 80.2
Cab Calc 812 0.79 1.41 2.8 6.39 1144.2 23.1 100.0 100.0 100.0
FRACCION tms/h % Cu Ag (g/Tm) % Fe Ins tms Cu tms Fe Densidad Pulpa m3/h
1.0000 812.08 0.79 1.41 2.85 82.65 6.39 23.12 1321 1600.00
0.0715 58.04 8.53 13.67 9.35 60.98 4.95 5.43 1178 210.52
0.9285 754.04 0.19 0.47 2.35 84.32 1.44 17.69 1334 1428.15
0.1206 97.96 0.10 0.39 2.91 79.63 0.10 2.85 1130 430.52
0.0717 58.25 0.75 1.91 3.43 78.12 0.43 2.00 1139 245.18
0.9774 793.75 0.14 0.35 2.34 84.20 1.11 18.55 1320 1559.43
0.0254 20.63 4.43 11.44 7.93 68.51 0.91 1.64 1152 89.48
0.0738 59.89 0.96 2.69 4.12 77.29 0.58 2.47 1130 273.18
0.0033 2.69 19.94 46.11 21.59 26.55 0.54 0.58 1074 24.58
0.0996 80.92 7.91 14.26 9.44 62.09 6.40 7.64 1166 312.06
0.0226 18.33 28.82 47.30 24.95 15.77 5.28 4.57 1316 42.49
0.0771 62.59 1.79 4.58 4.90 75.66 1.12 3.07 1130 289.32
Contenido Metálico
Contenido Metálico Distribución
Flujo
Alimento
Conc. Roug
Rel. Roug
Ensaye Químico
Ensaye Químico
Ensaye Químico
Ensaye Químico
Ensaye Químico
Ensaye Químico
Conc. Wenco
Conc. Mixto(alim columna)
Conc. Final
Rel Columna
Rel Cleaner
Conc. Scv
Rel. Final
Conc. Clean
Rel. Wenco
BALANCE METALURGICO
Ensaye Químico
Contenido Metálico
Contenido Metálico
Contenido Metálico
Contenido Metálico
Contenido Metálico Distribución
Distribución
Distribución
Distribución
Distribución
Distribución

Valores Experimentales
Ci %Cu Ag (g) % Fe % Ins %Solidos Ge
C1 0.73 1.45 2.69 82.74 38.68 2.68
C2 8.12 15.74 8.94 59.49 25.00 3.00
C3 0.22 0.43 2.31 84.14 39.20 2.72
C4 0.11 0.38 3.10 79.17 19.00 2.24
C5 0.73 2.00 3.30 78.39 21.74 2.48
C6 0.13 0.38 2.51 84.31 38.70 2.73
C7 4.32 11.62 8.10 67.76 20.12 3.00
C8 0.95 2.77 3.97 76.12 18.90 2.31
C9 19.42 47.55 21.54 26.52 10.20 3.08
C10 10.67 11.30 11.90 67.02 21.45 2.89
C11 27.81 53.50 23.90 15.74 32.36 3.55
C12 1.83 4.65 4.66 74.87 19.94 2.47
C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12
1.00 -0.07 -0.93 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0
0.00 0.00 0.93 0.12 -0.07 -0.98 0.00 0.00 0.00 0.00 0.00 0.00 1.11022E-16
B(w)= 0.00 0.00 0.00 -0.12 0.07 0.00 -0.03 0.07 0.00 0.00 0.00 0.00 0
0.00 0.07 0.00 0.00 0.00 0.00 0.03 0.00 0.00 -0.10 0.00 0.00 0.000556666
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 -0.02 -0.08 0
0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07 0.00 0.00 0.00 0.08 -0.000556666
0.5388 0 0 0 0 0 0 0 0 0 0 0
0 65.9344 0 0 0 0 0 0 0 0 0 0
0 0 0.0471 0 0 0 0 0 0 0 0 0
0 0 0 0.0110 0 0 0 0 0 0 0 0
0 0 0 0 0.5314 0 0 0 0 0 0 0
Mi= 0 0 0 0 0 0.0172 0 0 0 0 0 0
0 0 0 0 0 0 18.6797 0 0 0 0 0
0 0 0 0 0 0 0 0.9025 0 0 0 0
0 0 0 0 0 0 0 0 377.1364 0 0 0
0 0 0 0 0 0 0 0 0 113.8489 0 0
0 0 0 0 0 0 0 0 0 0 773.3961 0
0 0 0 0 0 0 0 0 0 0 0 3.3562
dci= -MiB'(BMiB')-1
Bci
1 0 0 0 0 0
-0.071475122 0 0 0.071475122 0 0
-0.928524878 0.928524878 0 0 0 0
0 0.120632416 -0.120632416 0 0 0
B' = 0 -0.071732938 0.071732938 0 0 0
0 -0.977424356 0 0 0 0
0 0 -0.025409553 0.025409553 0 0
0 0 0.074309031 0 0 -0.074309031
0 0 0 0.003316643 0 -0.003316643
0 0 0 -0.099644652 0.099644652 0
0 0 0 0 -0.022575644 0
0 0 0 0 -0.077069008 0.077069008
-0.538756 0 0 0 0 0
4.712669271 0 0 -4.712669271 0 0
0.043723308 -0.043723308 0 0 0 0
0 -0.001329972 0.001329972 0 0 0
-MiB'= 0 0.038121824 -0.038121824 0 0 0
0 0.016773579 0 0 0 0
0 0 0.474642423 -0.474642423 0 0
0 0 -0.0670639 0 0 0.0670639
0 0 0 -1.250826705 0 1.250826705
0 0 0 11.344434 -11.344434 0
0 0 0 0 17.45991513 0
0 0 0 0 0.258660853 -0.258660853
0.538756 0 0 0 0 0
-4.712669271 0 0 4.712669271 0 0
-0.043723308 0.043723308 0 0 0 0
0 0.001329972 -0.001329972 0 0 0
MiB'= 0 -0.038121824 0.038121824 0 0 0
0 -0.016773579 0 0 0 0
0 0 -0.474642423 0.474642423 0 0
0 0 0.0670639 0 0 -0.0670639
0 0 0 1.250826705 0 -1.250826705
0 0 0 -11.344434 11.344434 0
0 0 0 0 -17.45991513 0
0 0 0 0 -0.258660853 0.258660853
0.916192789 -0.040598179 0 -0.33683861 0 0
-0.040598179 0.059888112 -0.002895028 0 0 0
0 -0.002895028 0.019938934 -0.012060452 0 -0.004983453
-0.33683861 0 -0.012060452 1.483459784 -1.130412177 -0.004148545
BMiB'= 0 0 0 -1.130412177 1.544515742 -0.019934735
0 0 -0.004983453 -0.004148545 -0.019934735 0.029066734
Conc. Mixto(alim columna)
BALANCE METALURGICO EN PLANTA CONCENTRADORA
Conc. Final
Rel Columna
Puntos
Alimento
Conc. Roug
Rel. Roug
Rel Cleaner
Conc. Scv
Rel. Final
Conc. Clean
Rel. Wenco
Conc. Wenco
CÁLCULO COMPUTACIONAL PARA CORRECIÓN DE LEYES Cu

1.414176976 0.995355744 0.758875643 0.757778681 0.562664749 0.624152457
0.995355744 17.5241924 3.136817293 0.595203299 0.447622027 0.929744544
0.758875643 3.136817293 54.24786337 1.68605173 1.369269539 10.4804478
(BMiB')-1
= 0.757778681 0.595203299 1.68605173 1.989401373 1.476483787 1.585620022
0.562664749 0.447622027 1.369269539 1.476483787 1.749306938 1.645211381
0.624152457 0.929744544 10.4804478 1.585620022 1.645211381 37.55508587
-0.761896331 -0.536253879 -0.408848806 -0.408257811 -0.30313901 -0.336265881
3.093388075 1.885786132 -4.369474254 -5.804230413 -4.306526897 -4.531078652
0.01831225 -0.722695416 -0.103971475 0.007108334 0.005030048 -0.013361497
-MiB'(BMiB')-1
= -0.000314512 -0.019134812 0.06797628 0.001450798 0.001225766 0.012702172
0.009015053 0.548472988 -1.948446326 -0.041585132 -0.035134885 -0.364090233
0.016695679 0.293943432 0.052615654 0.00998369 0.007508224 0.015595144
0.000520664 1.206357825 24.94806565 -0.14398261 -0.05088843 4.221862608
-0.009035062 -0.148014907 -2.935213595 -0.006735342 0.018505736 1.815730829
-0.16714325 0.418453123 11.00026545 -0.505060496 0.21104898 44.99156844
2.213457128 1.674225994 3.593714657 5.818759708 -3.095024239 -0.676030233
9.824078762 7.815442607 23.90732993 25.7792816 30.54275067 28.72525107
-0.015904463 -0.124706222 -2.356705143 -0.028229272 0.026925446 -9.288478781
0.0
0.0
0.0
BCi= -0.3
0.3
0.0
Ci ©
0.1 0.7 0.787
0.410175732 8.12 8.530
-0.026156576 0.217 0.191
-0.000613389 0.105 0.104
0.01758194 0.729 0.747
-MiB'(BMiB')-1
BCi= 0.0 0.1 0.139
0.1 4.3 4.428
0.0 1.0 0.963
0.522899819 19.42 19.943
-2.758273775 10.67 7.912
1.011213373 27.81 28.821
-0.045240928 1.83 1.787
0.05
0.41
-0.03
0.00
0.02
0.01
0.11
0.01
0.52
-2.76
1.01
-0.05
Función Objetivo
0.052898216 0.410175732 -0.026156576 -0.000613389 0.01758194 0.008387523 0.106349494 0.013009125 0.522899819 -2.758273775 1.011213373 -0.045240928
1.85612782 0 0 0 0 0 0 0 0 0 0 0
0 0.01516659 0 0 0 0 0 0 0 0 0 0
0 0 21.23638217 0 0 0 0 0 0 0 0 0
0 0 0 90.70294785 0 0 0 0 0 0 0 0
0 0 0 0 1.881676423 0 0 0 0 0 0 0
Mi-1
= 0 0 0 0 0 58.27166249 0 0 0 0 0 0
0 0 0 0 0 0 0.053534096 0 0 0 0 0
0 0 0 0 0 0 0 1.108033241 0 0 0 0
0 0 0 0 0 0 0 0 0.002651561 0 0 0
0 0 0 0 0 0 0 0 0 0.008783572 0 0
0 0 0 0 0 0 0 0 0 0 0.001292999 0
0 0 0 0 0 0 0 0 0 0 0 0.297953891
0.098185851
0.006220967
-0.555471044
-0.055636159
0.033083521
M-1
*(C(c )-C) = 0.488754915
0.005693324
0.014414542
0.001386501
-0.024227496
0.001307497
-0.013479711
Cu
( ) ( )ii
i
ii ccMiccJ --= å -
ˆ'ˆ
1
( )=- ii ccˆ

C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12
1.00 -0.07 -0.93 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0
0.00 0.00 0.93 0.12 -0.07 -0.98 0.00 0.00 0.00 0.00 0.00 0.00 1.11022E-16
B(w)= 0.00 0.00 0.00 -0.12 0.07 0.00 -0.03 0.07 0.00 0.00 0.00 0.00 0
0.00 0.07 0.00 0.00 0.00 0.00 0.03 0.00 0.00 -0.10 0.00 0.00 0.000556666
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 -0.02 -0.08 0
0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07 0.00 0.00 0.00 0.08 -0.000556666
2.1025 0 0 0 0 0 0 0 0 0 0 0
0 247.8106 0 0 0 0 0 0 0 0 0 0
0 0 0.1806 0 0 0 0 0 0 0 0 0
0 0 0 0.1444 0 0 0 0 0 0 0 0
0 0 0 0 3.9960 0 0 0 0 0 0 0
Mi= 0 0 0 0 0 0.1444 0 0 0 0 0 0
0 0 0 0 0 0 134.9547 0 0 0 0 0
0 0 0 0 0 0 0 7.6840 0 0 0 0
0 0 0 0 0 0 0 0 2261.2878 0 0 0
0 0 0 0 0 0 0 0 0 127.6900 0 0
0 0 0 0 0 0 0 0 0 0 2862.2500 0
0 0 0 0 0 0 0 0 0 0 0 21.5760
dci= -MiB'(BMiB')-1
Bci
1 0 0 0 0 0
-0.071475122 0 0 0.071475122 0 0
-0.928524878 0.928524878 0 0 0 0
0 0.120632416 -0.120632416 0 0 0
B' = 0 -0.071732938 0.071732938 0 0 0
0 -0.977424356 0 0 0 0
0 0 -0.025409553 0.025409553 0 0
0 0 0.074309031 0 0 -0.074309031
0 0 0 0.003316643 0 -0.003316643
0 0 0 -0.099644652 0.099644652 0
0 0 0 0 -0.022575644 0
0 0 0 0 -0.077069008 0.077069008
-2.1025 0 0 0 0 0
17.71229025 0 0 -17.71229025 0 0
0.167714806 -0.167714806 0 0 0 0
0 -0.017419321 0.017419321 0 0 0
-MiB'= 0 0.286644893 -0.286644893 0 0 0
0 0.141140077 0 0 0 0
0 0 3.429138341 -3.429138341 0 0
0 0 -0.570989404 0 0 0.570989404
0 0 0 -7.499883805 0 7.499883805
0 0 0 12.72362559 -12.72362559 0
0 0 0 0 64.61713741 0
0 0 0 0 1.662842837 -1.662842837
2.1025 0 0 0 0 0
-17.71229025 0 0 17.71229025 0 0
-0.167714806 0.167714806 0 0 0 0
0 0.017419321 -0.017419321 0 0 0
MiB'= 0 -0.286644893 0.286644893 0 0 0
0 -0.141140077 0 0 0 0
0 0 -3.429138341 3.429138341 0 0
0 0 0.570989404 0 0 -0.570989404
0 0 0 7.499883805 0 -7.499883805
0 0 0 -12.72362559 12.72362559 0
0 0 0 0 -64.61713741 0
0 0 0 0 -1.662842837 1.662842837
3.524215473 -0.15572737 0 -1.265988103 0 0
-0.15572737 0.316344334 -0.022663215 0 0 0
0 -0.022663215 0.152225757 -0.087132873 0 -0.042429669
-1.265988103 0 -0.087132873 2.645836653 -1.267841243 -0.024874435
BMiB'= 0 0 0 -1.267841243 2.854768389 -0.128153647
0 0 -0.042429669 -0.024874435 -0.128153647 0.195457752
CÁLCULO COMPUTACIONAL PARA CORRECIÓN DE LEYES Ag

0.381412554 0.203132792 0.214600354 0.246879642 0.116575448 0.154437378
0.203132792 3.307123292 0.642291017 0.158669831 0.079987228 0.212064614
0.214600354 0.642291017 7.490816009 0.518390021 0.315467961 1.898905879
(BMiB')-1
= 0.246879642 0.158669831 0.518390021 0.667737569 0.314679733 0.40383186
0.116575448 0.079987228 0.315467961 0.314679733 0.509925346 0.442865397
0.154437378 0.212064614 1.898905879 0.40383186 0.442865397 5.870168069
-0.801919895 -0.427086696 -0.451197245 -0.519064447 -0.24509988 -0.324704586
2.382885992 0.787540885 -5.380810743 -7.454357756 -3.508880591 -4.417347467
0.029900156 -0.520585165 -0.071730056 0.014794091 0.006136386 -0.009664941
-MiB'(BMiB')-1
= 0.000199757 -0.046419568 0.119296654 0.006266081 0.004101914 0.029383629
-0.003287118 0.763860562 -1.963094714 -0.103111955 -0.06749935 -0.483524434
0.028670178 0.466767636 0.090653004 0.022394672 0.011289403 0.029930816
-0.110690142 1.658403951 23.90941329 -0.512133403 0.002702942 5.126815641
-0.034352422 -0.245654717 -3.192921431 -0.065411496 0.072742586 2.26754863
-0.69330624 0.400454673 10.35370853 -1.979262148 0.961377587 40.9968864
1.657941769 1.001127981 2.581904314 4.492175714 -2.484232083 -0.496648109
7.532771767 5.16854568 20.38463658 20.33370356 32.94991618 28.61669423
-0.062958438 -0.219623936 -2.633008401 -0.148245976 0.111510156 -9.024751372
-0.1
-0.1
0.0
BCi= 0.5
-0.4
0.0
Ci ©
0.0 1.5 1.409
-2.071294012 15.742 13.671
0.040065154 0.425 0.465
0.005295044 0.38 0.385
-0.087132985 1.999 1.912
-MiB'(BMiB')-1
BCi= 0.0 0.4 0.349
-0.2 11.6 11.439
-0.1 2.8 2.691
-1.446782734 47.553 46.106
2.957642186 11.3 14.258
-6.202118443 53.5 47.298
-0.065757836 4.65 4.579
Función Objetivo
-0.04
-2.07
0.04
0.01
-0.09
-0.03
(Ĉi-Ci)= -0.18
-0.08
-1.45
2.96
-6.20
-0.07
(Ĉi-Ci)'= -0.041060059 -2.071294012 0.040065154 0.005295044 -0.087132985 -0.030960407 -0.177815545 -0.080539803 -1.446782734 2.957642186 -6.202118443 -0.065757836
0.475624257 0 0 0 0 0 0 0 0 0 0 0
0 0.00403534 0 0 0 0 0 0 0 0 0 0
0 0 5.53633218 0 0 0 0 0 0 0 0 0
0 0 0 6.925207756 0 0 0 0 0 0 0 0
0 0 0 0 0.250250188 0 0 0 0 0 0 0
Mi-1
= 0 0 0 0 0 6.925207756 0 0 0 0 0 0
0 0 0 0 0 0 0.007409894 0 0 0 0 0
0 0 0 0 0 0 0 0.130140823 0 0 0 0
0 0 0 0 0 0 0 0 0.000442226 0 0 0
0 0 0 0 0 0 0 0 0 0.007831467 0 0
0 0 0 0 0 0 0 0 0 0 0.000349375 0
0 0 0 0 0 0 0 0 0 0 0 0.04634774
-0.01952916
-0.008358377
0.221814002
0.036669282
-0.021805046
M-1
*(C(c )-C) = -0.214407253
-0.001317594
-0.010481516
-0.000639805
0.023162677
-0.002166868
-0.003047727
Ag
( ) ( )ii
i
ii ccMiccJ --= å -
ˆ'ˆ
1

C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12
1.00 -0.07 -0.93 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0
0.00 0.00 0.93 0.12 -0.07 -0.98 0.00 0.00 0.00 0.00 0.00 0.00 1.11022E-16
B(w)= 0.00 0.00 0.00 -0.12 0.07 0.00 -0.03 0.07 0.00 0.00 0.00 0.00 0
0.00 0.07 0.00 0.00 0.00 0.00 0.03 0.00 0.00 -0.10 0.00 0.00 0.000556666
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 -0.02 -0.08 0
0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07 0.00 0.00 0.00 0.08 -0.000556666
7.2522 0 0 0 0 0 0 0 0 0 0 0
0 79.9415 0 0 0 0 0 0 0 0 0 0
0 0 5.3453 0 0 0 0 0 0 0 0 0
0 0 0 9.6348 0 0 0 0 0 0 0 0
0 0 0 0 10.8768 0 0 0 0 0 0 0
Mi= 0 0 0 0 0 6.3001 0 0 0 0 0 0
0 0 0 0 0 0 65.6100 0 0 0 0 0
0 0 0 0 0 0 0 15.7212 0 0 0 0
0 0 0 0 0 0 0 0 464.0147 0 0 0
0 0 0 0 0 0 0 0 0 141.6100 0 0
0 0 0 0 0 0 0 0 0 0 570.9710 0
0 0 0 0 0 0 0 0 0 0 0 21.7249
dci= -MiB'(BMiB')-1
Bci
1 0 0 0 0 0
-0.071475122 0 0 0.071475122 0 0
-0.928524878 0.928524878 0 0 0 0
0 0.120632416 -0.120632416 0 0 0
B' = 0 -0.071732938 0.071732938 0 0 0
0 -0.977424356 0 0 0 0
0 0 -0.025409553 0.025409553 0 0
0 0 0.074309031 0 0 -0.074309031
0 0 0 0.003316643 0 -0.003316643
0 0 0 -0.099644652 0.099644652 0
0 0 0 0 -0.022575644 0
0 0 0 0 -0.077069008 0.077069008
-7.252249 0 0 0 0 0
5.713827092 0 0 -5.713827092 0 0
4.963284887 -4.963284887 0 0 0 0
0 -1.162271131 1.162271131 0 0 0
-MiB'= 0 0.78022511 -0.78022511 0 0 0
0 6.157871184 0 0 0 0
0 0 1.667120781 -1.667120781 0 0
0 0 -1.168228993 0 0 1.168228993
0 0 0 -1.538970925 0 1.538970925
0 0 0 14.11067915 -14.11067915 0
0 0 0 0 12.89003867 0
0 0 0 0 1.674318104 -1.674318104
7.252249 0 0 0 0 0
-5.713827092 0 0 5.713827092 0 0
-4.963284887 4.963284887 0 0 0 0
0 1.162271131 -1.162271131 0 0 0
MiB'= 0 -0.78022511 0.78022511 0 0 0
0 -6.157871184 0 0 0 0
0 0 -1.667120781 1.667120781 0 0
0 0 1.168228993 0 0 -1.168228993
0 0 0 1.538970925 0 -1.538970925
0 0 0 -14.11067915 14.11067915 0
0 0 0 0 -12.89003867 0
0 0 0 0 -1.674318104 1.674318104
12.26917898 -4.608533495 0 -0.408396487 0 0
-4.608533495 10.82356218 -0.196175414 0 0 0
0 -0.196175414 0.325346172 -0.042360794 0 -0.086809964
-0.408396487 0 -0.042360794 1.861915209 -1.406053711 -0.005104217
BMiB'= 0 0 0 -1.406053711 1.826092672 -0.129038035
0 0 -0.086809964 -0.005104217 -0.129038035 0.220952216
CÁLCULO COMPUTACIONAL PARA CORRECIÓN DE LEYES Fe

0.099847028 0.043373877 0.047465101 0.061584985 0.050939654 0.049820454
0.043373877 0.112421963 0.086229655 0.034430962 0.030207953 0.052315887
0.047465101 0.086229655 3.642492762 0.452906858 0.469990336 1.71604086
(BMiB')-1
= 0.061584985 0.034430962 0.452906858 1.461621186 1.189465119 0.90636566
0.050939654 0.030207953 0.469990336 1.189465119 1.54211093 1.112738766
0.049820454 0.052315887 1.71604086 0.90636566 1.112738766 5.870868283
-0.724115509 -0.314558159 -0.344228734 -0.446629643 -0.369427058 -0.36131034 1
0.218622701 0.051098274 -2.316624094 -7.999564778 -6.505337643 -4.894151203
0.280292335 -0.342705319 -0.192399524 0.134773152 0.102897343 -0.012385545
-MiB'(BMiB')-1
= 0.004755112 -0.030442563 4.133341943 0.486382454 0.511146369 1.933699506
-0.003192076 0.020435896 -2.774685773 -0.326505402 -0.343129259 -1.298079999
0.26709075 0.692279965 0.530991109 0.212021427 0.18601668 0.322154494
-0.023539551 0.086354678 5.317424943 -1.681648619 -1.199451361 1.349826352
0.002751592 -0.039619047 -2.250536965 0.52974372 0.750877351 4.853789856
-0.01810527 0.02752438 1.943926503 -0.854522111 -0.118079626 7.640225194
0.150212838 0.059589527 -0.24105948 3.840306946 -4.976071894 -2.912064683
0.656614115 0.389381676 6.05819361 15.33225138 19.87786952 14.34324572
0.001873897 -0.037015715 -2.08628495 0.473998549 0.718905587 -7.966622392
-0.1
-0.2
0.0
BCi= -0.3
0.3
0.0
Ci ©
0.2 2.7 2.847
0.406054104 8.941 9.347
0.034556946 2.312 2.347
-0.195613275 3.104 2.908
0.131313929 3.298 3.429
-MiB'(BMiB')-1
BCi= -0.2 2.5 2.336
-0.2 8.1 7.926
0.2 4.0 4.121
0.045622021 21.541 21.587
-2.455636316 11.9 9.444
1.053607209 23.895 24.949
0.241741899 4.66 4.903
Función Objetivo
0.15
0.41
0.03
-0.20
0.13
-0.17
(Ĉi-Ci)= -0.17
0.16
0.05
-2.46
1.05
0.24
(Ĉi-Ci)'= 0.153918333 0.406054104 0.034556946 -0.195613275 0.131313929 -0.173566043 -0.173713922 0.156360979 0.045622021 -2.455636316 1.053607209 0.241741899
0.137888261 0 0 0 0 0 0 0 0 0 0 0
0 0.01250915 0 0 0 0 0 0 0 0 0 0
0 0 0.187078699 0 0 0 0 0 0 0 0 0
0 0 0 0.103790254 0 0 0 0 0 0 0 0
0 0 0 0 0.091938772 0 0 0 0 0 0 0
Mi-1
= 0 0 0 0 0 0.158727639 0 0 0 0 0 0
0 0 0 0 0 0 0.015241579 0 0 0 0 0
0 0 0 0 0 0 0 0.063608275 0 0 0 0
0 0 0 0 0 0 0 0 0.002155104 0 0 0
0 0 0 0 0 0 0 0 0 0.007061648 0 0
0 0 0 0 0 0 0 0 0 0 0.001751402 0
0 0 0 0 0 0 0 0 0 0 0 0.046030087
0.021223531
0.005079392
0.006464869
-0.020302752
0.012072841
M-1
*(C(c )-C) = -0.027549728
-0.002647674
0.009945852
9.83202E-05
-0.01734084
0.00184529
0.011127401
Fe
( ) ( )ii
i
ii ccMiccJ --= å -
ˆ'ˆ
1

C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12
1.00 -0.07 -0.93 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0
0.00 0.00 0.93 0.12 -0.07 -0.98 0.00 0.00 0.00 0.00 0.00 0.00 1.11022E-16
B(w)= 0.00 0.00 0.00 -0.12 0.07 0.00 -0.03 0.07 0.00 0.00 0.00 0.00 0
0.00 0.07 0.00 0.00 0.00 0.00 0.03 0.00 0.00 -0.10 0.00 0.00 0.000556666
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 -0.02 -0.08 0
0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07 0.00 0.00 0.00 0.08 -0.000556666
6845.7421 0 0 0 0 0 0 0 0 0 0 0
0 3539.4170 0 0 0 0 0 0 0 0 0 0
0 0 7079.3713 0 0 0 0 0 0 0 0 0
0 0 0 6268.2056 0 0 0 0 0 0 0 0
0 0 0 0 6145.1489 0 0 0 0 0 0 0
Mi= 0 0 0 0 0 7108.0075 0 0 0 0 0 0
0 0 0 0 0 0 4591.8242 0 0 0 0 0
0 0 0 0 0 0 0 5793.6455 0 0 0 0
0 0 0 0 0 0 0 0 703.5226 0 0 0
0 0 0 0 0 0 0 0 0 4492.0825 0 0
0 0 0 0 0 0 0 0 0 0 247.6846 0
0 0 0 0 0 0 0 0 0 0 0 5604.7682
dci= -MiB'(BMiB')-1
Bci
1 0 0 0 0 0
-0.071475122 0 0 0.071475122 0 0
-0.928524878 0.928524878 0 0 0 0
0 0.120632416 -0.120632416 0 0 0
B' = 0 -0.071732938 0.071732938 0 0 0
0 -0.977424356 0 0 0 0
0 0 -0.025409553 0.025409553 0 0
0 0 0.074309031 0 0 -0.074309031
0 0 0 0.003316643 0 -0.003316643
0 0 0 -0.099644652 0.099644652 0
0 0 0 0 -0.022575644 0
0 0 0 0 -0.077069008 0.077069008
-6845.742121 0 0 0 0 0
252.9802647 0 0 -252.9802647 0 0
6573.372394 -6573.372394 0 0 0 0
0 -756.1487831 756.1487831 0 0 0
-MiB'= 0 440.8095853 -440.8095853 0 0 0
0 6947.539634 0 0 0 0
0 0 116.6762002 -116.6762002 0 0
0 0 -430.5201787 0 0 430.5201787
0 0 0 -2.333333047 0 2.333333047
0 0 0 447.6119997 -447.6119997 0
0 0 0 0 5.591640379 0
0 0 0 0 431.9539256 -431.9539256
6845.742121 0 0 0 0 0
-252.9802647 0 0 252.9802647 0 0
-6573.372394 6573.372394 0 0 0 0
0 756.1487831 -756.1487831 0 0 0
MiB'= 0 -440.8095853 440.8095853 0 0 0
0 -6947.539634 0 0 0 0
0 0 -116.6762002 116.6762002 0 0
0 0 430.5201787 0 0 -430.5201787
0 0 0 2.333333047 0 -2.333333047
0 0 0 -447.6119997 447.6119997 0
0 0 0 0 -5.591640379 0
0 0 0 0 -431.9539256 431.9539256
12967.36372 -6103.539801 0 -18.08179523 0 0
-6103.539801 13017.07087 -122.8366213 0 0 0
0 -122.8366213 157.7928486 -2.964690109 0 -31.99153722
-18.08179523 0 -2.964690109 65.65636604 -44.60214187 -0.007738832
BMiB'= 0 0 0 -44.60214187 78.01863718 -33.29026043
0 0 -31.99153722 -0.007738832 -33.29026043 65.28953648
CÁLCULO COMPUTACIONAL PARA CORRECIÓN DE %Ins

9.93805E-05 4.70729E-05 5.02957E-05 7.70002E-05 6.97051E-05 6.01954E-05
4.70729E-05 9.98044E-05 9.64709E-05 6.91857E-05 7.63337E-05 8.62E-05
5.02957E-05 9.64709E-05 0.007723977 0.003505647 0.004625605 0.006143659
(BMiB')-1
= 7.70002E-05 6.91857E-05 0.003505647 0.031866928 0.024222432 0.01407222
6.97051E-05 7.63337E-05 0.004625605 0.024222432 0.035317274 0.020277199
6.01954E-05 8.62E-05 0.006143659 0.01407222 0.020277199 0.028667491
-0.680333543 -0.322248911 -0.344311391 -0.52712322 -0.477182861 -0.412082443
0.005661795 -0.005594107 -0.874135732 -8.042224404 -6.110163204 -3.54476567
0.343837614 -0.346624069 -0.303527067 0.051367227 -0.043572556 -0.170937677
-MiB'(BMiB')-1
= 0.002436919 -0.002520619 5.767529772 2.598476154 3.439925669 4.580339975
-0.001420643 0.001469437 -3.362277985 -1.514825153 -2.005362227 -2.670185828
0.327040814 0.693395299 0.670235699 0.48067051 0.530331441 0.598877922
-0.003115775 0.003183536 0.492178748 -3.309086499 -2.286483331 -0.925074408
0.004262037 -0.004421848 -0.680359143 4.549122797 6.738327007 9.69696438
-3.9211E-05 3.97E-05 0.006155359 -0.041520981 -0.009205543 0.034055629
0.003265373 -0.003199525 -0.50130639 3.421768307 -4.966184349 -2.777422871
0.000389766 0.000426831 0.025864718 0.135443128 0.197481493 0.113382802
0.004107718 -0.004261785 -0.65572939 4.384423854 6.49661949 -3.624219814
0.4
-0.4
0.0
BCi= -0.6
0.6
0.0
Ci ©
-0.1 82.7 82.655
1.482897868 59.493 60.976
0.184460276 84.139 84.323
0.460567842 79.172 79.633
-0.26849573 78.391 78.123
-MiB'(BMiB')-1
BCi= -0.1 84.3 84.200
0.8 67.8 68.515
1.2 76.1 77.289
0.021388307 26.524 26.545
-4.930057884 67.023 62.093
0.028879338 15.738 15.767
0.798127306 74.87 75.663
Función Objetivo
-0.08
1.48
0.18
0.46
-0.27
-0.11
(Ĉi-Ci)= 0.75
1.17
0.02
-4.93
0.03
0.80
(Ĉi-Ci)'= -0.084309591 1.482897868 0.184460276 0.460567842 -0.26849573 -0.109396769 0.751715443 1.172594809 0.021388307 -4.930057884 0.028879338 0.798127306
0.000146076 0 0 0 0 0 0 0 0 0 0 0
0 0.000282532 0 0 0 0 0 0 0 0 0 0
0 0 0.000141255 0 0 0 0 0 0 0 0 0
0 0 0 0.000159535 0 0 0 0 0 0 0 0
0 0 0 0 0.00016273 0 0 0 0 0 0 0
Mi-1
= 0 0 0 0 0 0.000140686 0 0 0 0 0 0
0 0 0 0 0 0 0.000217778 0 0 0 0 0
0 0 0 0 0 0 0 0.000172603 0 0 0 0
0 0 0 0 0 0 0 0 0.001421418 0 0 0
0 0 0 0 0 0 0 0 0 0.000222614 0 0
0 0 0 0 0 0 0 0 0 0 0.004037392 0
0 0 0 0 0 0 0 0 0 0 0 0.00017842
-1.23156E-05
0.000418967
2.6056E-05
7.34768E-05
-4.36923E-05
M-1
*(C(c )-C) = -1.53906E-05
0.000163707
0.000202393
3.04017E-05
-0.001097499
0.000116597
0.000142401
Ins
( ) ( )ii
i
ii ccMiccJ --= å -
ˆ'ˆ
1

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