Eleanor and her sister Joanna are responsible for two chores on their family's farm: gathering eggs and harvesting wheat. Eleanor can gather 9 dozen eggs or collect 3 bushels of wheat per week. Joanna can gather 2 dozen eggs or collect 2 bushels of wheat per week. The family wants 3 bushels of wheat per week and as many eggs as the sisters can gather. What is the maximum number of eggs the family can have per week? Which sister (s) gather the eggs?

Question

Patches

Business

30 December, 16:18

Eleanor and her sister Joanna are responsible for two chores on their family's farm: gathering eggs and harvesting wheat. Eleanor can gather 9 dozen eggs or collect 3 bushels of wheat per week. Joanna can gather 2 dozen eggs or collect 2 bushels of wheat per week. The family wants 3 bushels of wheat per week and as many eggs as the sisters can gather. What is the maximum number of eggs the family can have per week? Which sister (s) gather the eggs?

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Answers (1)

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Barron · Answer 1

2 dozen eggs;

Joanna

Explanation:

Even though Eleanor can gather more eggs than Joanna at a lower opportunity cost, she is also the only one of the sisters that is able to collect the amount of bushels required by the family and, thus, she should be the one collecting bushels of wheat.

Therefore, Joanna should gather the eggs, and the maximum number of eggs the family can have per week, which is the amount that Joanna is capable of gathering, is 2 dozen eggs.