Question Details
Description
Answer Download
The Question
A farmer in Georgia has a 100-acre farm on which to plant watermelons and cantaloupes. Every acre planted with watermelons requires 50 gallons of water per day and must be prepared for planting with 20 pounds of fertilizer. Every acre planted with cantaloupes requires 75 gallons of water per day and must be prepared for planting with 15 pounds of fertilizer. The farmer estimates that it will take 2 hours of labor to harvest each acre planted with watermelons and 2.5 hours to harvest each acre planted with cantaloupes. He believes that watermelons will sell for about $3 each, and cantaloupes will sell for about $1 each. Every acre planted with watermelons is expected to yield 90 salable units. Every acre planted with cantaloupes is expected to yield 300 salable units. The farmer can pump about 6,000 gallons of water per day for irrigation purposes from a shallow well. He can buy as much fertilizer as he needs at a cost of $10 per 50- pound bag. Finally, the farmer can hire laborers to harvest the fields at a rate of $5 per hour. The farmer sells all the watermelons and cantaloupes he produces and would like to determine how many acres of each crop to plant in order to maximize profits. a) Formulate an LP model for this problem.
b) Implement the model in an Excel spreadsheet. What is the optimal solution?
c) Consider the following prices for the watermelons: (i) $2.75/unit, (ii) $2.50/unit,
(iii) $2.25/unit, (iv) $2.00/unit. Which price points (if any) would result in the
farmer maintain his planting strategy? Which price points (if any) should the
farmer respond by changing his planting strategy? Please explain your reasoning.
d) Suppose the farmer can lease up to 20 acres of land from a neighboring farm to
plant additional crops. How many acres should the farmer lease and what is the
maximum amount he should pay to lease each acre?
Solution details
Solution #00070170
Pay using PayPal (No PayPal account Required) or your credit card . All your purchases are securely protected by .
About this Question
STATUSAnswered
QUALITYApproved
DATE ANSWEREDOct 14, 2020
EXPERTTutor
ANSWER RATING
BEST TUTORS
We have top-notch tutors who can do your essay/homework for you at a reasonable cost and then you can simply use that essay as a template to build your own arguments.
You can also use these solutions:
- As a reference for in-depth understanding of the subject.
- As a source of ideas / reasoning for your own research (if properly referenced)
- For editing and paraphrasing (check your institution's definition of plagiarism and recommended paraphrase).
STUCK WITH YOUR PAPER?
Order New Solution. Quick Turnaround
Click on the button below in order to Order for a New, Original and High-Quality Essay Solutions. New orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.
WE GUARANTEE, THAT YOUR PAPER WILL BE WRITTEN FROM SCRATCH AND WITHIN A DEADLINE.
