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 fo 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? 0 1800 0 soybeans corns wheat x acre(s) x acre(s) ✔acre(s) In this event, will you be using all the available labor? O Yes No

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Finite Math - Simplex Method: Solve Standard Max Problems

I tried solving but was having a hard time. Can you please help me solve for "corns" and "soybeans"?

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 0
X acre(s)
X acre(s)
✔acre(s)
In this event, will you be using all the available labor?
corns
wheat
Ⓒ
Yes
No
1800
0
Transcribed Image Text: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 0 X acre(s) X acre(s) ✔acre(s) In this event, will you be using all the available labor? corns wheat Ⓒ Yes No 1800 0
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