función objetivo variables de decisión y parámetros restricciones

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Función Objetivo

Variables de decisión y parámetros

Restricciones

La óptica Central desea determinar cuanto debeproducir para que sea óptimamente aprovechada

(es decir, obtener el > beneficio). Ella posee 74 modelos de monturas.

74 Monturas Tornillos 15000 unid. Carey 4700 gr.

Lentejas de silicona 1000 lent.

Cada montura posee 6 tornillos, 5 gr. cobre 2 lentejas de silicona se posee 478 monturas en inventario final de periodo anterior. Su producción debe ser menor o igual a este. Por el comportamiento de mercado se sabe que la demanda de monturas al mes es de 1000 unidades.

De acuerdo al estudio de mercado se determino que del modelo Amadeus se debe producir una cantidad mayor a 40, del modelo Barón se debe producir a lo más 30 unidades

Los tiempos y requerimientos se mostraron en el siguiente cuadro.

Var. Tiempo

DptaTornillos

Inst.carey

Coloc.Siliconas

Marca Cantidad CostoUnit

PrecioUnit.

Utilidad

X1 25 23 10 Amadeus 31 40.75 53.79 13.04

X2 18 20 8 Andrea Biagiotti 48 13.22 15.47 2.25

X3 18 20 8 Angel Eye 1 12 15 3

X4 10 15 5 Baglioni 17 7.25 9.52 2.27

X5 18 20 8 Barbinzon C/flex 10 11.00 15 4

X6 23m 25 10 Baron 33 38.25 43.857 5.607

X7 23 m 25 10 Belutti 1 40.00 49.98 9.98

X8 10 m 12 5 Best 1 7.00 10 3

X9 15 m 16 6 Biaggio 13 11.00 15 4

X10 12 13 5 Bibi 1 9.00 12 3

X11 18 20 8 Broadway 1 10.00 15 5

X12 10 12 5 Camel 2 6.30 9 2.7

X13 10 12 5 Cameroon 2 5.20 8.33 3.12

X14 16 17 7 Carusso 11 7.75 15 9.25

X15 11 13 5 Cecilie 1 9.95 12 2.05

X16 10 12 5 Clare collection 2 7.00 10 3

X17 11 13 5 Clio 1 9.20 12.5 3.3

X18 20 23 10 Couple Rim 1 20.01 29.75 9.74

X19 28 25 10 Crispol 1 47.10 53 5.9

X20 10 12 5 Cross 4 8.0 8 3

X21 10 12 5 Cta 3 4.0 8 4

X22 10 12 5 Christiam Dior 1 4.10 8 3.9

X23 10 12 5 Dasic 16 5.30 8.33 3.03

X24 24 12 5 Dilen 5 23.40 35 11.6

X25 11 25 10 Dirary 1 7.0 10 3

X26 10 13 5 Donald duck 1 5.70 8.33 2.63

X27 10 12 5 Duck head 1 5.10 8.33 3.23

X28 10 12 5 Escape 1 6.0 10 4

X29 12 13 5 Europtics 4 6.0 10 4

X30 12 13 5 Flemingo 4 5.20 8.33 3.13

X31 9 10 4 Flinistones p niños 3 23.10 35 11.9

X32 24 25 10 Frost 5 7.10 8.33 1.23

X33 10 12 5 Ferry Weber 1 30.20 49.98 19.78

X34 28 25 10 Gianni 2 11.20 15.17 3.97

X35 16 17 8 Giovanni 26 13.10 15 1.9

X36 17 18 8 Giovanni Ochialli 1 4.40 7 2.6

X37 8 10 4 Giro 1 3.50 8 4.5

X38 10 12 5 Goya lens 3 4.40 9.52 5.12

X39 11 13 5 Gratfitti 1 12.10 15 2.9

X40 17 18 8 Hermes 1 8.0 10 2

X41 11 13 5 Historie de Voir 12 5.10 8.33 3.23

X42 10 12 5 Hollayday 14 9.40 15 5.6

X43 16 17 7 Hollywood 1 8.10 12 5.9

X44 13 15 5 Jr. Optical 2 7.30 13 5.7

X45 14 16 6 Jazmin o Jazmine 10 5.10 8.33 3.23

X46 9 10 4 Kenzo 8 5.10 8.33 3.23

X47 10 12 5 Kirk 3 5.10 8.33 2.32

X48 10 12 5 Lectos Alicia 1 7.50 10 2.50

X49 8 10 4 Lector Nitro 4 2.20 6 3.80

X50 20 23 10 Logros 2 13.70 18 4.3

X51 9 10 4 Maniatan 4 5.10 8.33 3.23

X52 9 10 4 Maru 1 5.10 8.33 3.23

X53 10 12 5 Melissa 2 4.10 8 3.9

X54 8 10 4 Monc Blanc 6 3.20 6 2.8

X55 19 21 10 Myke 25 14.20 17.69 3.49

X56 11 13 5 Napoli 2 6.70 10 3.3

X57 12 14 5 Panorama 1 6.70 10 3.3

X58 8 10 4 Pascali 1 4.10 6 1.9

X59 9 10 4 Passport Ochiali 4 4.50 8 3.5

X60 11 13 5 Primicia 1 5.30 10 4.7

X61 11 13 5 Primmera 4 5.30 10 4.7

X62 12 14 5 Profesor 3 5.30 10 4.7

X63 9 10 4 Reiz 3 5.10 8.33 3.23

X64 13 15 6 Revelato 1 6.70 12.67 5.97

X65 10 12 5 Rexon 20 4.20 8.33 4.13

X66 10 12 5 Roden 18 4.20 8.33 4.13

X67 17 20 8 Rover 4 11.30 16.66 5.36

X68 8 9 4 s/m 6 3.20 7 3.8

X69 7 9 4 Salón kids 2 3.10 6.54 3.8

X70 8 9 4 Stom 15 3.20 7 3.8

X71 9 10 4 Sun 1 3.20 7 3.7

X72 8 9 4 Sziois 6 3.20 7 25.6

X73 15 17 7 Tribal 23 10.30 14

X74 30 25 10 u. Pacific 5 80.40 106

Total disponible

9800 10710 9500 62

Amadeus

Andrea Biagiotti

Angel Eye

Baglioni

Barbinzon C/flex

Baron

Belutti

Best

Biaggio

Bibi

Broadway

Camel

Cameroon

Carusso

Cecilie

Clare collection

Clio

Couple Rim

Crispol

Cross

Cta

Christiam Dior

Dasic

Dilen

Dirary

Donald duck

Duck head

Escape

Europtics

Flemingo

Flinistones p niños

Frost

Ferry Weber

Gianni

Giovanni

Giovanni Ochialli

Giro

Goya lens

Gratfitti

Hermes

Historie de Voir

Hollayday

Hollywood

Jr. Optical

Jazmin o Jazmine

Kenzo

Kirk

Lectos Alicia

Lector Nitro

Logros

Maniatan

Maru

Melissa

Monc Blanc

Myke

Napoli

Panorama

Pascali

Passport Ochiali

Primicia

Primmera

Profesor

Reiz

Revelato

Rexon

Roden

Rover

s/m

Salón kids

Stom

Sun

Sziois

Tribal

u. Pacific

Max Z = 13.04X1 + 2.25 X2 + 3 X3+ 2.27 X4+ 4 X5+ 5.607 X6+ 9.98 X7+ 3 X8+ 4 X9+ 3 X10+ 5 X11+ 2.7 X12+ 3.12 X13+ 9.25 X14+ 2.05 X15+ 3 X16+ 3.3 X17+ 9.74 X18+ 5.9 X19+ 3 X20+4 X21+ 39X22+ 3.03 X23+ 11.6 X24+ 3 X25+ 2.63 X26+ 3.23 X27+ 4 X28+ 4 X29+ 3.13 X30+ 11.9 X31+ 1.23 X32+ 19.78 X33+ 3.97 X34+ 1.9 X35+ 2.6 X36+ 4.5 X37+ 5.12 X38+ 2.9 X39+ 2 X40+ 3.23 X41+ 5.6 X42+ 3.9 X43+ 5.7 X44+ 3.23 X45+ 3.23 X46+ 3.23 X47+ 2.50 X48+ 3.80 X49+ 4.3 X50+ 3.23 X51+ 3.23 X52+ 3.9 X53+ 2.8 X54+ 3.49 X55+ 3.3 X56+ 3.3 X57+ 1.9 X58+ 3.5 X59+ 4.7 X60+ 4.7 X61+ 4.7 X62+ 3.23 X63+ 5.97 X64+ 4.13 X65+ 4.13 X66+ 5.36 X67+ 3.8 X68+ 3.44 X69+ 3.8 X70+ 3.8 X71+ 3.8 X72+ 3.7 X73+ 25.6 X74 .

Función objetivo: Maximizar la utilidad. Max Z = Maximizar la utilidad

6X1 + 6X2 + 6X3 + 6X4 + 6X5 + 6X6 + 6X7 + 6X8+ 6X9+ 6X10 + 6X11 + 6X12 + 6X13 + 6 X14 + 6X15n + 6X16 + 6X17 + 6X18 + 6X19 + 6X20 + 6X21+ 6X22 + 6X23+ 6X24 + 6X25 + 6 X26 + 6X27 + 6X28 + 6X29 + 6X30 + 6X31+ 6X32 + 6X33 + 6X34 + 6X35 + 6X36 + 6 X37 + 6X38 + 6X39 + 6X40+ 6X41 + 6X42 + 6X43 + 6X44 + 6X45 + 6X46 + 6X47 + 6X48 + 6X49 + 6X50 + 6X51 + 6X52 + 6X53 + 6X54 + 6X55 + 6X56 + 6X57 + 6X58 + 6X59 + 6 X60 + 6X61 + 6X62 + 6X63 + 6X64 + 6X65 + 6X66 + 6X67 + 6X68 + 6X69 + 6X70 + 6X71 +6 X72 + 6X73 + 6X74 1600 unidades

5X1 + 5X2 + 5X3 + 5X4 + 5X5 + 5X6 + 5X7 + 5X8+ 5X9+ 5X10 + 5X11 + 5X12 + 5X13 + 5X14 + 5X15n + 5X16 + 5X17 + 5X18 + 5X19 + 5X20 + 5X21+ 5X22 + 5X23+ 5X24 + 5X25 + 5X26 + 5X27 + 5X28 + 5X29 + 5X30 + 5X31+ 5X32 + 5X33 + 5X34 + 5X35 + 5X36 + 5 X37 + 5X38 + 5X39 + 5X40+ 5X41 + 5X42 + 5X43 + 5X44 + 5X45 + 5X46 + 5X47 + 5X48 + 5X49 + 5X50 + 5X51 + 5X52 + 5X53 + 5X54 + 5X55 + 5X56 + 5X57 + 5X58 + 5X59 + 5X60 + 5X61 + 5X62 + 5X63 + 5X64 + 5X65 + 5X66 + 5X67 + 5X68 + 5X69 + 5X70 + 5X71 +5 X72 + 5X73 + 5X74 4700 Gr.

2X1 + 2X2 + 2X3 + 2X4 + 2X5 + 2X6 + 2X7 + 2X8+ 2X9+ 2X10 + 2X11 + 2X12 + 2X13 + 2X14 + 2X15n + 2X16 + 2X17 + 2X18 + 2X19 + 2X20 + 2X21+ 2X22 + 2X23+ 2X24 + 2X25 + 2X26 + 2X27 + 2X28 + 2X29 + 2X30 + 2X31+ 2X32 + 2X33 + 2X34 + 2X35 + 2X36 +2 X37 + 2X38 + 2X39 + 2X40 + 2X41 + 2X42 + 2X43 + 2X44 + 2X45 + 2X46 + 2X47 + 2X48 + 2X49 + 2X50 + 2X51 + 2X52 + 2X53 + 2X54 + 2X55 + 2X56 + 2X57 + 2X58 + 2X59 + 2X60 + 2X61 + 2X62 + 2X63 + 2X64 + 2X65 + 2X66 + 2X67 + 2X68 + 2X69 + 2X70 + 2X71 + 2X72 + 2X73 + 2X74 1000 unidades.

X1 + X2 + X3 + X4 + X5 + X6 + X7 + X8+ X9+ X10 + X11 + X12 + X13 + X14 + X15n + X16 + X17 + X18 + X19 + X20 + X21+ X22 + X23+ X24 + X25 + X26 + X27 + X28 + X29 + X30 + X31+ X32 + X33 + X34 + X35 + X36 + X37 + X38 + X39 + X40 + X41 + X42 + X43 + X44 + X45 + X46 + X47 + X48 + X49 + X50 + X51 + X52 + X53 + X54 + X55 + X56 + X57 + X58 + X59 + X60 + X61 + X62 + X63 + X64 + X65 + X66 + X67 + X68 + X69 + X70 + X71 + X72 + X73 + X74 474 monturas.

X1 + X2 + X3 + X4 + X5 + X6 + X7 + X8+ X9+ X10 + X11 + X12 + X13 + X14 + X15n + X16 + X17 + X18 + X19 + X20 + X21+ X22 + X23+ X24 + X25 + X26 + X27 + X28 + X29 + X30 + X31+ X32 + X33 + X34 + X35 + X36 + X37 + X38 + X39 + X40 + X41 + X42 + X43 + X44 + X45 + X46 + X47 + X48 + X49 + X50 + X51 + X52 + X53 + X54 + X55 + X56 + X57 + X58 + X59 + X60 + X61 + X62 + X63 + X64 + X65 + X66 + X67 + X68 + X69 + X70 + X71 + X72 + X73 + X74 1000 monturas.

X1 40X6 30

25X1 + 18X2 + 18X3 + 10X4 + 18X5 + 23X6 + 23X7 + 10X8+ 15X9+ 12X10 + 18X11 + 10X12 + 10X13 + 16X14 + 11X15n + 10X16 + 11X17 + 20X18 + 28X19 + 10X20 + 10X21+ 10X22 + 10X23+ 10X24 + 24X25 + 11X26 + 10X27 + 10X28 + 12X29 + 12X30 + 9X31+ 24X32 + 10X33 + 28X34 + 16X35 + 17X36 + 8X37 + 10X38 + 11X39 + 17X40 + 11X41 + 10X42 + 13X43 + 14X44 + 9X45 + 10X46 + 10X47 + 10X48 + 8X49 + 20X50 + 9X51 + 9X52 + 10X53 + 8X54 + 19X55 + 11X56 + 12X57 + 8X58 + 9X59 + 10X60 + 11X61 + 12X62 + 9X63 + 13X64 + 10X65 + 10X66 + 17X67 + 8X68 + 7X69 + 8X70 + 9X71 + 8X72 + 15X73 + 30X74 9800.

X1 + X2 + X3 + X4 + X5 + X6 + X7 + X8+ X9+ X10 + X11 + X12 + X13 + X14 + X15n + X16 + X17 + X18 + X19 + X20 + X21+ X22 + X23+ X24 + X25 + X26 + X27 + X28 + X29 + X30 + X31+ X32 + X33 + X34 + X35 + X36 + X37 + X38 + X39 + X40 + X41 + X42 + X43 + X44 + X45 + X46 + X47 + X48 + X49 + X50 + X51 + X52 + X53 + X54 + X55 + X56 + X57 + X58 + X59 + X60 + X61 + X62 + X63 + X64 + X65 + X66 + X67 + X68 + X69 + X70 + X71 + X72 + X73 + X74 0.

ObjectiveFunction (Max.) = 1.019.482,00

Left Hand Right Hand Slack Shadow

Allowable

Allowable

Constraint Side

Direction Side

or Surplus Price

Min. RHS

Max. RHS

1 C1 2.844,00 <= 16.000,00 13.156,00 0 2.844,00 M

2 C2 2.370,00 <= 4.700,00 2.330,00 0 2.370,00 M

3 C3 948 <= 1.000,00 52 0 948 M

4 C4 474 <= 474 0 1.978,00 70 500

5 C5 474 <= 1.000,00 526 0 474 M

6 C6 40 >= 40 0 -674 0 311,3333

7 C7 30 <= 30 0 3.629,00 0 343,0769

8 C8 5.730,00 <= 9.800,00 4.070,00 0 5.730,00 M

9 C9 6.518,00 <= 10.710,00 4.192,00 0 6.518,00 M

10 C10 2.720,00 <= 9.500,00 6.780,00 0 2.720,00 M

Resultados obtenidos por el

• 13.156,00 unidades de tornillos, • 2.330,00 unidades de Carey,• 52 lentejas de Silicona.• 526 monturas en función de la demanda,• 4.070,00 minutos en el departamento de tornillo,• 4.192,00 minutos en el departamento de colocación de

Carey• 6.780,00 minutos en el departamento de colocación de

Silicona.

La solución óptima es de s/.1.019.482,00 Sobran

MARCA DE MONTURAS UNIDADES A PRODUCIR

Amadeus 40

Andrea Biagiotti 0

Angel Eye 0

Baglioni 0

Barbinzon C/flex 0

Baron 30

Belutti 0

Best 0

Biaggio 0

Bibi 0

Broadway 0

Camel 0

Cameroon 0

Carusso 0

Cecilie 0

Clare collection 0

Clio 0

Couple Rim 0

Crispol 0

Cross 0

Cta 0

Christiam Dior 0

Dasic 0

Dilen 0

Dirary 0

Donald duck 0

Duck head 0

Escape 0

Europtics 0

Flemingo 0

Flinistones p niños 0

Frost 0

Ferry Weber 404

Gianni 0

Giovanni 0

Giovanni Ochialli 0

Giro 0

Goya lens 0

Gratfitti 0

Hermes 0

Historie de Voir 0

Hollayday 0

Hollywood 0

Jr. Optical 0

Jazmin o Jazmine 0

Kenzo 0

Kirk 0

Lectos Alicia 0

Lector Nitro 0

Logros 0

Maniatan 0

Maru 0

Melissa 0

Monc Blanc 0

Myke 0

Napoli 0

Panorama 0

Pascali 0

Passport Ochiali 0

Primicia 0

Primmera 0

Profesor 0

Reiz 0

Revelato 0

Rexon 0

Roden 0

Rover 0

s/m 0

Salón kids 0

Stom 0

Sun 0

Sziois 0

Tribal 0

u. Pacific 0

función objetivo variables de decisión y parámetros restricciones

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