Your farm encompasses 600 acres, and you are planning to grow soybeans, corn, and wheat in the coming planting season. Fertilizer costs per acre are: $5 for soybeans, $2 for corn, and $1 for wheat. You estimate that each acre of soybeans will require an average of 5 hours of labor per week, while tending to corn and wheat will each require an average of 2 hours per week. Based on past yields and current market prices, you estimate a profit of $6,000 for each acre of soybeans, $4,000 for each acre of corn, and $2,000 for each acre of wheat. You can afford to spend no more than $3,600 on fertilizer, and your farm laborers can supply 3,600 hours per week. How many acres of each crop should you plant to maximize total profits? soybeans acre(s)corns acre(s)wheat acre(s) In this event, will you be using all the available labor?
Your farm encompasses 600 acres, and you are planning to grow soybeans, corn, and wheat in the coming planting season. Fertilizer costs per acre are: $5 for soybeans, $2 for corn, and $1 for wheat. You estimate that each acre of soybeans will require an average of 5 hours of labor per week, while tending to corn and wheat will each require an average of 2 hours per week. Based on past yields and current market prices, you estimate a profit of $6,000 for each acre of soybeans, $4,000 for each acre of corn, and $2,000 for each acre of wheat. You can afford to spend no more than $3,600 on fertilizer, and your farm laborers can supply 3,600 hours per week. How many acres of each crop should you plant to maximize total profits? soybeans acre(s)corns acre(s)wheat acre(s) In this event, will you be using all the available labor?
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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Your farm encompasses 600 acres, and you are planning to grow soybeans, corn, and wheat in the coming planting season. Fertilizer costs per acre are: $5 for soybeans, $2 for corn, and $1 for wheat. You estimate that each acre of soybeans will require an average of 5 hours of labor per week, while tending to corn and wheat will each require an average of 2 hours per week. Based on past yields and current market prices, you estimate a profit of $6,000 for each acre of soybeans, $4,000 for each acre of corn, and $2,000 for each acre of wheat. You can afford to spend no more than $3,600 on fertilizer, and your farm laborers can supply 3,600 hours per week. How many acres of each crop should you plant to maximize total profits?
soybeans acre(s)corns acre(s)wheat acre(s)
In this event, will you be using all the available labor?
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