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Name: A farmer is going to divide her 40 acre farm between two crops. Seed f
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Description: A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $25 per acre. Seed for crop B costs $50 per acre. The farmer can spend at most $1250 on seed.If crop B brings in a profit of $310 per acre, and crop A brings in a p

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 is going to divide her 40 acre farm between two crops. Seed for crop A costs $25 per acre. Seed for crop B costs $50 per acre. The farmer can spend at most $1250 on seed.

If crop B brings in a profit of $310 per acre, and crop A brings in a profit of $130 per acre, how many acres of each crop should the farmer plant to maximize her profit?

acres of crop A
acres of crop B

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