Your small farm encompasses 130 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 $400 for each acre of carrots. You would like to spend at least $520 on fertilizer (your niece owns the company that manufactures it) and your farm laborers can supply up to 650 hours per week. How many acres of each crop should you plant to maximize total profits?
Agriculture Your small farm encompasses 130 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 $400 for each acre of carrots. You would like to spend at least $520 on fertilizer (your niece owns the company that manufactures it) and your farm laborers can supply up to 650 hours per week. How many acres of each crop should you plant to maximize total profits?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
