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Chapter 1: Problem 7

The Hatfield family lives on the east side of the Hatatoochie River, and the McCoy family lives on the west side. Each family's diet consists of fried chicken and corn-on-the-cob, and each is self-sufficient, raising their own chickens and growing their own corn. Explain the conditions under which each of the following would be true.

Short Answer

Expert verified
Answer: For this statement to be true, the Hatfield family should raise a larger number of chickens than the McCoy family and/or each member of the Hatfield family prefers fried chicken more than corn-on-the-cob. Additionally, the McCoy family should grow a larger amount of corn than the Hatfield family and/or each member of the McCoy family prefers corn-on-the-cob more than fried chicken.

Step by step solution

01

Condition 1: The Hatfield family consumes more fried chicken than the McCoy family

For this condition to be true, the Hatfield family should raise a larger number of chickens than the McCoy family, and/or each member of the Hatfield family prefers fried chicken more than corn-on-the-cob, leading them to consume more fried chicken.
02

Condition 2: The McCoy family consumes more corn-on-the-cob than the Hatfield family

For this condition to be true, the McCoy family should grow a larger amount of corn than the Hatfield family, and/or each member of the McCoy family prefers corn-on-the-cob more than fried chicken, leading them to consume more corn-on-the-cob.
03

Condition 3: The two families have similar diets in terms of fried chicken consumption

For this condition to be true, both families should raise a similar number of chickens, and the preference for fried chicken among the two families should be similar, leading to similar consumption amounts of fried chicken.
04

Condition 4: The two families have similar diets in terms of corn-on-the-cob consumption

For this condition to be true, both families should grow a similar amount of corn, and the preference for corn-on-the-cob among the two families should be similar, leading to similar consumption amounts of corn-on-the-cob.
05

Condition 5: The Hatfield family trades some of their fried chicken for corn-on-the-cob from the McCoy family

For this condition to be true, the Hatfield family should have a surplus of fried chicken they are willing to trade for corn-on-the-cob from the McCoy family. Also, the McCoy family should have a surplus of corn-on-the-cob and be willing to trade it for fried chicken.
06

Condition 6: The McCoy family trades some of their corn-on-the-cob for fried chicken from the Hatfield family

For this condition to be true, the McCoy family should have a surplus of corn-on-the-cob they are willing to trade for fried chicken from the Hatfield family. Also, the Hatfield family should have a surplus of fried chicken and be willing to trade it for corn-on-the-cob.

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