Question

A California grower has a 50-acre farm on which to plant strawberries and tomatoes. The grower...

A California grower has a 50-acre farm on which to plant strawberries and tomatoes. The grower has available 300 hours of labor per week and 800 tons of fertilizer, and he has contracted for shipping space for a maximum of 26 acres’ worth of strawberries and 37 acres’ worth of tomatoes. An acre of strawberries requires 10 hours of labor and 8 tons of fertilizer, whereas an acre of tomatoes requires 3 hours of labor and 20 tons of fertilizer. The profit from an acre of strawberries is $400, and the profit from an acre of tomatoes is $300. The farmer wants to know the number of acres of strawberries and tomatoes to plant. Formulate a linear programming model for this problem and solve it using the graphical method. You must upload a single file (Word, Excel, PDF, JPEG etc.). Your file should contain the following information: LP model where decision variables are clearly identified, a graph showing all constraints with feasible region clearly identified and a table showing all extreme corners in the feasible region with optimal solution. You can do these either electronically or using pen and paper and then taking a picture of your work and upload it!

0 0
Add a comment Improve this question Transcribed image text
Answer #1

if any quire's please comment below and rate by thumb up Thank you

Add a comment
Know the answer?
Add Answer to:
A California grower has a 50-acre farm on which to plant strawberries and tomatoes. The grower...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Problem 1-1 A farmer owns 450 acres of land. He is going to plant each acre...

    Problem 1-1 A farmer owns 450 acres of land. He is going to plant each acre with wheat or corn. Each acre planted with wheat yields $4000 profit, requires three workers, and requires two tons of fertilizer. Each acre planted with corn yields $2000 profit, requires two workers, and requires four tons of fertilizer. There are currently 1000 workers and 1200 tons of fertilizer available. To hedge against risk, the farmer wants to sure that the acres of wheat do...

  • constraint ineanie (5 marks) b) A farm in Kedah has 6000 acres available to plant with rubber tree and oil palms. Each acre of rubber trees requires 9 gallons of fertilizer/herbicide and hour of...

    constraint ineanie (5 marks) b) A farm in Kedah has 6000 acres available to plant with rubber tree and oil palms. Each acre of rubber trees requires 9 gallons of fertilizer/herbicide and hour of labor to harvest. Each acre of oil palms requires 3 gallons of fertilizer/herbicide and 1 hour of labor to harvest. The farm has available at most 40,500 gallons of fertilizer/herbicide and at most 5250 hours of labor for harvesting. The profits per acre are RM60 for...

  • Your small farm encompasses 110 acres, and you are planning to grow tomatoes, lettuce, and carrots...

    Your small farm encompasses 110 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...

  • 13: A farm co-op has 6000 acres available on which to plant corn and soybeans. The following tabl...

    13: A farm co-op has 6000 acres available on which to plant corn and soybeans. The following table summarizes each crop's requirements for fertilizer/herbicide, harvesting labor hours, and the available amounts of these resources ComSoybeans Avaabte galace 40500 gal (a) if the co-op's profits per acre are $240 for corn and $160 for soybeans, how many acres of each crop should the co-op plant to maximize profit? What is the maximum profit? If market conditions change so that the co-op's...

  • A farmer in the Midwest has 1,000 acres of land on which she intends to plant...

    A farmer in the Midwest has 1,000 acres of land on which she intends to plant corn, wheat, and soybeans. Each acre of corn costs $100 for preparation, requires 7 worker-days of labor, and yields a profit of $30. An acre of wheat costs $120 to prepare, requires 10 worker-days of labor, and yields $40 profit. An acre of soybeans costs $70 to prepare, requires 8 worker-days, and yields $20 profit. The farmer has taken out a loan of $80,000...

  • Use the scenario below to answer all of the questions. Show all of your work on handwritten pages...

    Use the scenario below to answer all of the questions. Show all of your work on handwritten pages. Take pictures of your page. Upload the pictures to this assessment on Engage. A farmer in upstate New York has a 100-acre farm to plant red beans and romaine lettuce. Every acre planted with beans requires 50 gallons of water per acre and consumes 20 pounds of fertilizer. Every acre planted with lettuce requires 75 gallons of water and 15 pounds of...

  • 17. A farmer has 100 acres of tillable land on which corn, tomatoes, beans, peas, and...

    17. A farmer has 100 acres of tillable land on which corn, tomatoes, beans, peas, and carrots can be planted. The labor requirements, plant costs, and gross income for I acre of each of these crops are as follows: Labor Gross (worker-hours) Costs (S) Income (S) Corn 95 1300 275 345 435 20 200 Tomatoes Beans Peas Carrots 120 25 35 40 75 nd The farmer has available up to 3600 hr of labor at $7.25/hr. However, the labor and...

  • 17. A farmer has 100 acres of tillable land on which corn, tomatoes, beans, peas, and...

    17. A farmer has 100 acres of tillable land on which corn, tomatoes, beans, peas, and carrots can be planted. The labor requirements, plant costs, and gross income for I acre of each of these crops are as follows: Labor Gross (worker-hours) Costs (S) Income (S) Corn 95 1300 275 345 435 20 200 Tomatoes Beans Peas Carrots 120 25 35 40 75 nd The farmer has available up to 3600 hr of labor at $7.25/hr. However, the labor and...

  • 17. A farmer has 100 acres of tillable land on which corn, tomatoes, beans, peas, and...

    17. A farmer has 100 acres of tillable land on which corn, tomatoes, beans, peas, and carrots can be planted. The labor requirements, plant costs, and gross income for I acre of each of these crops are as follows: Labor Gross (worker-hours) Costs (S) Income (S) Corn 95 1300 275 345 435 20 200 Tomatoes Beans Peas Carrots 120 25 35 40 75 nd The farmer has available up to 3600 hr of labor at $7.25/hr. However, the labor and...

  • 17. A farmer has 100 acres of tillable land on which corn, tomatoes, beans, peas, and...

    17. A farmer has 100 acres of tillable land on which corn, tomatoes, beans, peas, and carrots can be planted. The labor requirements, plant costs, and gross income for I acre of each of these crops are as follows: Labor Gross (worker-hours) Costs (S) Income (S) Corn 95 1300 275 345 435 20 200 Tomatoes Beans Peas Carrots 120 25 35 40 75 nd The farmer has available up to 3600 hr of labor at $7.25/hr. However, the labor and...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT