Agriculture Your small farm encompasses 150 acres, and you are planning to grow tomatoes, lettuce, and carrots in the coming planting season. Fertilizer costs per acre are: $5 for tomatoes, $4 for lettuce, and $2for carrots. Based on past experience, you estimate that each acre of tomatoes will require an average of 4 hours of labor per week, while tending to lettuce and carrots will each require an average of 2 hours per week.You estimate a profit of $2,000 for each acre of tomatoes, $1,500 for each acre of lettuce and $450 for each acre of carrots. You would like to spend at least $600 on fertilizer (your niece owns the company thatmanufactures it) and your farm laborers can supply up to 750 hours per week. How many acres of each crop should you plant to maximize total profits?tomatoes acre(s)lettucecarrotsacre(s)acre(s)$profitIn this event, will you be using all 150 acres of your farm?

Answered: Image /qna-images/answer/644dcb39-098c-4f4b-bf8e-813f06bacba8.jpg

Answered: Agriculture Your small farm encompasses…

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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Agriculture Your small farm encompasses 110 acres, and you are planning to grow tomatoes, lettuce, and carrots in the coming planting season. Fertilizer costs per acre are: $5 for tomatoes, $4 for lettuce, and $2 for carrots. Based on past experience, you estimate that each acre of tomatoes will require an average of 4 hours of labor per week, while tending to lettuce and carrots will each require an average of 2 hours per week. You estimate a profit of $3,000 for each acre of tomatoes, $1,400 for each acre of lettuce and $450 for each acre of carrots. You would like to spend at least $440 on fertilizer (your niece owns the company that manufactures it) and your farm laborers can supply up to 550 hours per week. How many acres of each crop should you plant to maximize total profits? X acre(s) X acre(s) tomatoes lettuce carrots acre(s) profit In this event, will you be using all 110 acres of your farm? Yes No
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