Programacion lineal, caso

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARIA

DEPARTAMENTO INDUSTRIAS

INGENIERIA INDUSTRIAL - ICIPEV

i) Formule un modelo de Programación Lineal que permita determinar cuántos alumnos viajarán desde cada área a cada colegio en esta reasignación.

|Área |Nº alumnos |% en 2do medio |% en 3ero medio |% en 4to medio |Costo colegio 1 |Costo colegio 2 |Costo colegio |
| || | | | | |3 |
|1 |450 |32 |38 |30 |300 |0 |700 |
|3 |550 |30 |32 |38 |600 |300 |200 |
|5 |500 |39|34 |27 |0 |- |400 |
| | | | |
|Area 1 |1 |0 |0 |
|Area 2 |0 |1 |0 |
|Area 3 |0 |0 |1 |
|Area 4 |0 |1|0 |
|Area 5 |0 |0 |1 |
|Area 6 |1 |0 |0 |

|ASIGNACIONES DE ESTUDIANTES |
|  |Colegio 1 |Colegio 2 |Colegio 3 |
|Area 1 |450 |0 |0|
|Area 2 |0 |600 |0 |
|Area 3 |0 |0 |550 |
|Area 4 |0 |350 |0 |
|Area 5 |0 |0 |500 |
|Area 6 |450 |0 |0|
|Total |900 |950 |1050 |

|Capacidad Colegio |
| |RS |DES |REC |
|Colegio 1 |900 |≤ |950 |
|Colegio 2 |950 |≤ |1150 |
|Colegio 3 |1050|≤ |1050 |

|Nivel, |Porcentaje |RS |Des |Recurso |
|Colegio | | | | |
|N2C1 |30% |297 |≥ |270 |
|N4C1 |30% |306 |≥ |270 |
|N3C2 |30% |308 |≥ |285|
|N2C3 |30% |360 |≥ |315 |
|N4C3 |30% |344 |≥ |315 |
|N3C1 |35% |297 |≤ |315 |
|N2C2 |35% |320 |≤ |333 |
|N4C2 |35% |322 |≤ |333 |
|N3C3 |35%|346 |≤ |368 |

|Área 1 |Colegio 1 |Colegio 2 |Colegio 3 |
|Nivel 2 |144 |0 |0 |
|Nivel 3 |171 |0 |0 |
|Nivel 4 |135 |0 |0 |

|Área 2 |Colegio 1 |Colegio2 |Colegio 3 |
|Nivel 2 |0 |222 |0 |
|Nivel 3 |0 |168 |0 |
|Nivel 4 |0 |210 |0 |

|Área 3 |Colegio 1 |Colegio 2 |Colegio 3 |
|Nivel 2 |0 |0 |165...