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A farmer has 1,190 acres of land on which he grows corn, wheat and soybeans. t costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans. Because of market demand the farmer will grow twice as many acres of wheat as of corn. He has allocated $63,100 for the cost of growing his crops. How many acres of each crop should he plant?

A farmer has 1,190 acres of land on which he grows corn, wheat and soybeans. t costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans. Because of market demand the farmer will grow twice as many acres of wheat as of corn. He has allocated $63,100 for the cost of growing his crops. How many acres of each crop should he plant?

Advanced Engineering Mathematics
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 has 1,190 acres of land on which he grows corn, wheat and soybeans. It costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans. Because of market demand the farmer will grow twice as many acres of wheat as of corn. He has allocated $63,100 for the cost of growing his crops. How many acres of each crop should he plant?
Transcribed Image Text:A farmer has 1,190 acres of land on which he grows corn, wheat and soybeans. It costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans. Because of market demand the farmer will grow twice as many acres of wheat as of corn. He has allocated $63,100 for the cost of growing his crops. How many acres of each crop should he plant?
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