Balance Flotacion, Smith Ichiyen

%Cu 2.47 25.88 1.52

1 Alimento 2 Concentrado 3 Colas

%Pb 0.04 0.12 0.03

w 1- w2 - w3 = 0 1 - w2 - w3 = 0 w1 w2 w3

LEYES %Zn 0.34 2.8 0.22

%Fe 11.97 32.4 9.01

w3 = 1 - w2 1 0.049 0.951

w1 B=

1

-w2 -0.049

Mi=

0.8281 0 0

0 12.25 0

MiB'=

0.8281 -0.60025 -0.3895296

BMiB'=

1.2279549

(BMiB')-1=

0.81436216

B'*(BMiB')-1=

0.81436216 -0.03990375 -0.77445841

δi=

-0.08757412 0.06347828 0.04119395

-w3 -0.951

0 0 0.4096

-MiB'=

-0.8281 0.60025 0.3895296

-Mi*B'*(BMiB')-1=

δi'=

Funcion objetivo

-0.08757412 0.06347828 0.0411939509

0.0137331

Oz Ag/TC 0.91 3.5 0.64

1 2 3

Medido Calculado Ag Ag Alimento 11.97 12.0575741 Concentrado 32.4 32.3365217 Colas 9.01 8.96880605

w1

w2

w3

B'=

Mi-1=

1.20758363 0 0 0 0.08163265 0 0 0 2.44140625

-0.6743733 0.48882088 0.31721817

M-1*(Cc - Ci)'

-0.10575307 0.0051819 0.10057117

B'Ci=

1 -0.049 -0.951

0.12986

Ci=

0.91 3.5 0.64

%Cu 2.47 25.88 1.52

1 Alimento 2 Concentrado 3 Colas

%Pb 0.04 0.12 0.03

w 1- w2 - w3 = 0 1 - w2 - w3 = 0 w1 w2 w3

LEYES %Zn 0.34 2.8 0.22

%Fe 11.97 32.4 9.01

w3 = 1 - w2 1 0.049 0.951

w1 B=

1

-w2 -0.049

Mi=

143.2809 0 0

0 1049.76 0

MiB'=

143.2809 -51.43824 -77.2022751

BMiB'=

219.220737

(BMiB')-1=

0.00456161

B'*(BMiB')-1=

0.00456161 -0.00022352 -0.00433809

δi=

-1.18554383 0.42561352 0.63879192

-w3 -0.951

0 0 81.1801

-MiB'=

-143.2809 51.43824 77.2022751

-Mi*B'*(BMiB')-1=

δi'=

Funcion objetivo

-1.18554383 0.42561352 0.6387919156

0.0150086

Oz Ag/TC 0.91 3.5 0.64

1 2 3

Medido Calculado %Fe %Fe Alimento 11.97 13.1555438 Concentrado 32.4 31.9743865 Colas 9.01 8.37120808

w1

w2

w3

B'=

Mi-1=

0.0069793 0 0

0 0 0.0009526 0 0 0.01231829

-0.65359191 0.23464131 0.35216684

M-1*(Cc - Ci)'

-0.00827426 0.00040544 0.00786882

B'Ci=

1 -0.049 -0.951

1.81389

Ci=

11.97 32.4 9.01

%Cu 2.47 25.88 1.52

1 Alimento 2 Concentrado 3 Colas

%Pb 0.04 0.12 0.03

w 1- w2 - w3 = 0 1 - w2 - w3 = 0 w1 w2 w3

LEYES %Zn 0.34 2.8 0.22

%Fe 11.97 32.4 9.01

w3 = 1 - w2 1 0.049 0.951

w1 B=

1

-w2 -0.049

Mi=

0.1156 0 0

0 7.84 0

MiB'=

0.1156 -0.38416 -0.0460284

BMiB'=

0.17819685

(BMiB')-1=

5.61177153

B'*(BMiB')-1=

5.61177153 -0.2749768 -5.33679472

δi=

0.00416479 -0.01384035 -0.00165829

-w3 -0.951

0 0 0.0484

-MiB'=

-0.1156 0.38416 0.0460284

-Mi*B'*(BMiB')-1=

δi'=

Funcion objetivo

0.00416479 -0.01384035 -0.001658292

0.0002313

Oz Ag/TC 0.91 3.5 0.64

1 2 3

Medido Calculado %Zn %Zn Alimento 0.34 0.33583521 Concentrado 2.8 2.81384035 Colas 0.22 0.22165829

w1

w2

w3

B'=

Mi-1=

8.65051903 0 0 0.12755102 0 0

0 0 20.661157

-0.64872079 2.15581815 0.25830086

M-1*(Cc - Ci)'

0.03602757 -0.00176535 -0.03426222

B'Ci=

1 -0.049 -0.951

-0.00642

Ci=

0.34 2.8 0.22

%Cu 2.47 25.88 1.52

1 Alimento 2 Concentrado 3 Colas

%Pb 0.04 0.12 0.03

w 1- w2 - w3 = 0 1 - w2 - w3 = 0 w1 w2 w3

LEYES %Zn 0.34 2.8 0.22

%Fe 11.97 32.4 9.01

w3 = 1 - w2 1 0.049 0.951

w1 B=

1

-w2 -0.049

Mi=

0.0016 0 0

0 0.0144 0

MiB'=

0.0016 -0.0007056 -0.0008559

BMiB'=

0.00244854

(BMiB')-1=

408.407426

B'*(BMiB')-1=

408.407426 -20.0119639 -388.395462

δi=

-0.0036528 0.00161088 0.00195402

-w3 -0.951

0 0 0.0009

-MiB'=

-0.0016 0.0007056 0.0008559

-Mi*B'*(BMiB')-1=

δi'=

Funcion objetivo

-0.0036528 0.00161088 0.0019540176

0.012762

Oz Ag/TC 0.91 3.5 0.64

1 2 3

Medido Calculado %Pb %Pb Alimento 0.04 0.0436528 Concentrado 0.12 0.11838912 Colas 0.03 0.02804598

w1

w2

w3

B'=

Mi-1=

625 0 0 0 69.4444444 0 0 0 1111.11111

-0.65345188 0.28817228 0.34955592

M-1*(Cc - Ci)'

-2.28299751 0.11186688 2.17113063

B'Ci=

1 -0.049 -0.951

0.00559

Ci=

0.04 0.12 0.03

%Cu 2.47 25.88 1.52

1 Alimento 2 Concentrado 3 Colas

%Pb 0.04 0.12 0.03

w 1- w2 - w3 = 0 1 - w2 - w3 = 0 w1 w2 w3

w3 = 1 - w2

B=

1

-w2 -0.049

Mi=

6.1009 0 0

0 669.7744 0

BMiB'=

%Fe 11.97 32.4 9.01

1 0.049 0.951 w1

MiB'=

LEYES %Zn 0.34 2.8 0.22

6.1009 -32.8189456 -2.1971904

-w3 -0.951

0 0 2.3104

-MiB'=

-6.1009 32.8189456 2.1971904

9.7985564

(BMiB')-1=

0.10205585

B'*(BMiB')-1=

0.10205585 -0.00500074 -0.09705511

δi=

0.15169819 -0.81603938 -0.05463289

-Mi*B'*(BMiB')-1=

δi'=

Funcion objetivo

0.15169819 -0.81603938 -0.054632892

0.0060581

Oz Ag/TC 0.91 3.5 0.64

1 2 3

Medido Calculado %Cu %Cu Alimento 2.47 2.31830181 Concentrado 25.88 26.6960394 Colas 1.52 1.57463289

w1

w2

w3

B'=

Mi-1=

0.16391024 0 0 0 0.00149304 0 0 0 0.43282548

-0.62263253 3.34936538 0.22423613

M-1*(Cc - Ci)'

0.02486489 -0.00121838 -0.02364651

B'Ci=

1 -0.049 -0.951

-0.24364

Ci=

2.47 25.88 1.52

MEDIDO %Cu 1 2 3

w1 w2 w3

%Cu %Pb %Zn %Fe Ag Oz/TC

Alimento Concentrado Colas

1 0.049 0.951

0.00606 0.01276 0.00023 0.01501 0.01373

2.47 25.88 1.52

0.049 0.951

0.00004 0.00016 0.00000 0.00023 0.00019 0.0006135

%Pb 0.04 0.12 0.03

%Zn 0.34 2.8 0.22

%Fe 11.97 32.4 9.01

MEDIDO Ag Oz/TC 0.91 3.5 0.64

%Cu 2.27 27.01 1.59

%Pb

%Zn

0.04 0.12 0.03

%Fe

0.33 2.83 0.22

w1

13.11 31.96 8.40

w2

w3

Ag Oz/TC 12.05 32.34 8.97

ERRORES %Cu -0.20 1.13 0.07

%Pb 0.00 0.00 0.00

%Zn -0.01 0.03 0.00

%Fe 1.14 -0.44 -0.61

Ag Oz/TC 11.14 28.84 8.33