Post on 31-Dec-2014
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.
23X1 + 20X2 + 20X3 + 15X4 + 20X5 + 25X6 + 25X7 + 12X8+ 16X9+ 3X10 + 20X11 + 12X12 + 12X13 + 17X14 + 13X15n + 12X16 + 13X17 + 33X18 + 25X19 + 12X20 + 12X21+ 12X22 + 12X23+ 12X24 + 25X25 + 13X26 + 12X27 + 12X28 + 13X29 + 13X30 + 10X31+ 25X32 + 12X33 + 25X34 + 17X35 + 18X36 + 10X37 + 12X38 + 13X39 + 18X40 + 13X41 + 12X42 + 17X43 + 15X44 + 16X45 + 10X46 + 12X47 + 12X48 + 10X49 + 23X50 + 10X51 + 10X52 + 12X53 + 10X54 + 21X55 + 13X56 + 14X57 + 10X58 + 10X59 + 13X60 + 13X61 + 14X62 + 10X63 + 15X64 + 12X65 + 12X66 + 20X67 + 9X68 + 9X69 + 9X70 + 10X71 + 9X72 + 17X73 + 25X74 10710.
10X1 + 8X2 + 8X3 + 5X4 + 8X5 + 10X6 + 10X7 + 5X8+ 6X9+ 7X10 + 8X11 + 5X12 + 5X13 + 7X14 + 5X15n + 5X16 + 5X17 + 10X18 + 10X19 + 5X20 + 5X21+ 5X22 + 5X23+ 5X24 + 10X25 + 5X26 + 5X27 + 5X28 + 5X29 + 5X30 + 4X31+ 10X32 + 5X33 + 10X34 + 8X35 + 8X36 + 4X37 + 5X38 + 5X39 + 8X40 + 5X41 + 5X42 + 7X43 + 5X44 + 6X45 + 4X46 + 5X47 + 5X48 + 4X49 + 10X50 + 4X51 + 4X52 + 5X53 + 4X54 + 10X55 + 5X56 + 5X57 + 4X58 + 4X59 + 5X60 + 5X61 + 5X62 + 4X63 + 6X64 + 5X65 + 5X66 + 8X67 + 4X68 + 4X69 + 4X70 + 4X71 + 4X72 + 7X73 + 10X74 9500.
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