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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.4, Problem 24ES

Textbook Problem

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Scheduling Five different charity organizations send trucks on various routes to pick up donations that residents leave on their doorsteps.

Charity A covers Main St., First Aveâ€� and State St.

Charity B Covers First Ave., Second Ave., and Third Ave.

Charity C covers State St., City Dr., and Country Lane.

Charity D Covers City Dr., Second Aveâ€� and Main St.

Charity E covers Third Ave., Country Lane, and Fourth Ave.

Each charity has its truck travel down all three streets on its route on the same day, but no two charities wish to visit the same streets on the same day. Use graph coloring to design a schedule for the charities. Arrange their pickup routes so that no street is visited twice on the same day by different charities. The schedule should use the smallest possible number of days.

To determine

The schedule for the charities to visit the street

**Given:**

Five different charity organizations send trucks for various routes to pick up donations.

...

Charity A | Charity B | Charity C | Charity D | Charity E | |

Main street | X | X | |||

First avenue | X | X | |||

State St. | X | X | |||

Second avenue | X | X | |||

Third avenue | X | X | |||

Fourth avenue | X | ||||

City dr | X | X |

Mathematical Excursions (MindTap Course List)

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