Answered: how many acres of each crop should our…

Name: A farmer plans to plant two different types of vegetables, avocados (A
Uploaded: 2024-03-20T07:07:26.000Z
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Description: A farmer plans to plant two different types of vegetables, avocados (A) and beans (B). The cost of cultivating avocados (A) is $40/acre whereas that of the bean crop (B) is $60/acre. Our farmer has a maximum of $7400 available for land farming. Each

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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A farmer plans to plant two different types of vegetables, avocados (A) and beans (B). The cost of cultivating avocados (A) is $40/acre whereas that of the bean crop (B) is $60/acre. Our farmer has a maximum of $7400 available for land farming. Each acre of avocados (A) requires 20 labor-hours, and each acre of beans (B) requires 25 labor-hours. The farmer has a maximum of 3300 labor-hours available. If our farmer expects to make a profit of $150/acre on avocados (A) and $200/acre on beans (B), how many acres of each crop should our farmer plant in order to maximize his profit?

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