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1. Write the decision variables (in the short form) 2.Write the objective function  3 Write the constraints and domain condition

1. Write the decision variables (in the short form) 2.Write the objective function  3 Write the constraints and domain condition

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Write the decision variables (in the short form)

2.Write the objective function 

3 Write the constraints and domain condition

45. The Villa Arriba town has three schools. The town's school board of directors has decided to redistribute the school areas assigned to each school. The town is divided into 10 sectors, each of them with an estimated population of students for the next years. The distance (in km) from the centre of each sector to each school has been determined. The following table reports these data, as well as the maximum capacity of each school: Sector Students 450 400 500 500 400 450 450 500 400 450 1 2 3 4 5 6 7 8 9 10 School capacity School 1 1.2 2.6 0.7 1.8 1.5 2 1.2 3.5 3.2 3.8 1,500 Distance School 2 1.5 4 1.1 1.3 0.4 0.6 1.4 2.3 1.2 1.8 2,000 School 3 3.3 5.5 2.8 2 2.3 1.7 3.1 1.2 0.7 1 1,300 The board of directors wants to determine how many students of each sector must attend each school in order to minimize the total travelled distance by the town's students as a whole.
Transcribed Image Text:45. The Villa Arriba town has three schools. The town's school board of directors has decided to redistribute the school areas assigned to each school. The town is divided into 10 sectors, each of them with an estimated population of students for the next years. The distance (in km) from the centre of each sector to each school has been determined. The following table reports these data, as well as the maximum capacity of each school: Sector Students 450 400 500 500 400 450 450 500 400 450 1 2 3 4 5 6 7 8 9 10 School capacity School 1 1.2 2.6 0.7 1.8 1.5 2 1.2 3.5 3.2 3.8 1,500 Distance School 2 1.5 4 1.1 1.3 0.4 0.6 1.4 2.3 1.2 1.8 2,000 School 3 3.3 5.5 2.8 2 2.3 1.7 3.1 1.2 0.7 1 1,300 The board of directors wants to determine how many students of each sector must attend each school in order to minimize the total travelled distance by the town's students as a whole.
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