Answered: 8 The Hatfields, Montagues, McCoys, and… | bartleby

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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**Problem Statement: Maximum-Flow Problem for Family Picnic Transportation**

Four families—the Hatfields, Montagues, McCoys, and Capulets—are planning their annual family picnic. They have four cars available to transport them to the picnic location. Each car has a specific carrying capacity:

- Car 1 can carry 4 people.
- Car 2 can carry 3 people.
- Car 3 can carry 3 people.
- Car 4 can carry 4 people.

Each family consists of four members, and there's a restriction that no car can carry more than two people from the same family.

**Task:** Formulate this scenario into a maximum-flow problem to determine the maximum number of people that can be transported to the picnic.

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