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8 The Hatfields, Montagues, McCoys, and Capulets are going on their annual family picnic. Four cars are available to transport the families to the picnic. The cars can carry the following number of people: car 1, four; car 2, three; car 3, three; and car 4, four. There are four people in each family, and no car can carry more than two people from any one family. Formulate the problem of transporting the maximum possible number of people to the picnic as a maximum-flow problem.

8 The Hatfields, Montagues, McCoys, and Capulets are going on their annual family picnic. Four cars are available to transport the families to the picnic. The cars can carry the following number of people: car 1, four; car 2, three; car 3, three; and car 4, four. There are four people in each family, and no car can carry more than two people from any one family. Formulate the problem of transporting the maximum possible number of people to the picnic as a maximum-flow problem.

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.
Transcribed Image Text:**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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