Your small farm encompasses 100 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 $2,000 for each acre of tomatoes, $1,500 for each acre of lettuce and $500 for each acre of carrots. You would like to spend at least $300 on fertilizer (your niece owns the company that manufactures it) and your farm laborers can supply up to 500 hours per week. How many acres of each crop should you plant to maximize total profits In this event, will you be using all 100 acres of your farm ?
A)plant 100 acres of tomatoes and no other crops, you will be using all 100 acres of your farm
B) plant 60 acres of tomatoes and no other crops, you will not be using all 100 acres of your farm
C) plant 100 acres of lettuce and no other crops, you will be using all 100 acres of your farm
D) plant 40 acres of carrots and no other crops, you will be using all 100 acres of your farm
E) plant 20 acres of lettuce and no other crops, you will be using all 100 acres of your farm

Question

Your small farm encompasses 100 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 $2,000 for each acre of tomatoes, $1,500 for each acre of lettuce and $500 for each acre of carrots. You would like to spend at least $300 on fertilizer (your niece owns the company that manufactures it) and your farm laborers can supply up to 500 hours per week. How many acres of each crop should you plant to maximize total profits  In this event, will you be using all 100 acres of your farm  ?
A)plant 100 acres of tomatoes and no other crops, you will be using all 100 acres of your farm
B) plant 60 acres of tomatoes and no other crops, you will not be using all 100 acres of your farm
C) plant 100 acres of lettuce and no other crops, you will be using all 100 acres of your farm
D) plant 40 acres of carrots and no other crops, you will be using all 100 acres of your farm
E) plant 20 acres of lettuce and no other crops, you will be using all 100 acres of your farm

Quizplus · Accepted Answer

Tomatoes offer the highest profit per acre and their labor and fertilizer costs fit within the constraints, allowing the use of all 100 acres.

Your Small Farm Encompasses 100 Acres, and You Are Planning