A farmer (F), his son (S), his daughter (D) and their pets need to cross a river. The pets are an aggressive dog (A), 2 hamsters (H), 2 rabbits (R). If the small boat seats more than two it will sink. Only humans can row the boat. “Everyone” refers to all humans and pets. 1. If the farmer is not around, the aggressive dog will bite everyone else. 2. If the daughter is not around, the son will tease the rabbits. 3. If the son is not around, the daughter will tease the hamsters. 4. The hamsters and rabbits get along fine with each other.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter23: Simulation With The Excel Add-in @risk
Section: Chapter Questions
Problem 8RP
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A farmer (F), his son (S), his daughter (D) and their pets need to cross a river. The pets are
an aggressive dog (A), 2 hamsters (H), 2 rabbits (R). If the small boat seats more than two
it will sink. Only humans can row the boat. “Everyone” refers to all humans and pets.
1. If the farmer is not around, the aggressive dog will bite everyone else.
2. If the daughter is not around, the son will tease the rabbits.
3. If the son is not around, the daughter will tease the hamsters.
4. The hamsters and rabbits get along fine with each other.
To complete this task, you must use the following notation:
Let the $ symbol represent the river. The initial state is thus FSDAHHRR $. Find a way to get
everyone to the right-hand side of the river without sinking the boat, and without anyone
getting bitten or teased. Similar to river crossing questions in previous pracs, show all the
moves required to solve this puzzle in order to get to the final state. However, this time the
first two transitions (move) are not provided; copy the format below and type in the moves in
the file.
Transition State
                 FSDAHHRR $

 

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