Question
Your farm encompasses 900 acres, and you are planning to grow soybeans, corn, and wheat in the coming planting season. Fertilizer costs per acre are:
Your farm encompasses 900 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 $7,500 for each acre of soybeans, $5,000 for each acre of corn, and $2,500 for each acre of wheat. You can afford to spend no more than $5,400 on fertilizer, and your farm laborers can supply 5,400 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?
Yes
No
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