Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

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 100 pounds of fertilizer in the whole growing season. Every acre planted with cantaloupes requires 75 gallons of water per day and must be prepared for planting with 80 pounds of fertilizer in the whole growing season. 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 $3 each, and cantaloupes will sell for $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 $0.5 per pound. Finally, the farmer can hire laborers to harvest the fields at a rate of $15 per hour. If the farmer sells all the watermelons and cantaloupes he produces, how many acres of each crop should the farmer plant to maximize profits?

a. Formulate the LP model and generate its sensitivity report.

b. If the unit price of watermelon increases from $3 to $4, is our current solution still optimal? Use your calculation to describe.

c. If the labor cost per hour increases from $15 to $20, (unit price of water melon is still $3), is our current solution still optimal? Use your calculation to describe. (Hint: you may need to apply the 100% rule we introduced in class.)

d. Assume the unit price of watermelon and labor costs remain unchanged. The farmer is now considering planting muskmelons on the farm. If one acre planted with muskmelons requires 40 gallons of water per day and must be prepared for planting with 70 pounds of fertilizer. Each acre can yield 150 salable units at $2/unit and it takes 3 hours of labor to harvest. Would it be profitable to plant muskmelons? Use your calculation to describe. (Only use the information from your existing sensitivity report. Do not formulate a new model in the spreadsheet.)

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M998396

Have any Question? 


Related Questions in Statistics and Probability

Consider a sealed-bid second-price auction with two buyers

Consider a sealed-bid second-price auction with two buyers, whose private values are independent; buyer 1's private value is uniformly distributed over [0, 1], and buyer 2's private value is uniformly distributed over [0 ...

Prior to distributing a large shipment of bottled water a

Prior to distributing a large shipment of bottled water, a beverage company would like to determine whether there is evidence that the true mean fill volume of all bottles di↵ers from 600 ml, which is the amount stated o ...

1 describe how structural equations modeling works2

1. Describe how structural equations modeling works. 2. Distinguish between latent variable modeling and path analysis as types of structural equations modeling.

A shoe company checks police records on 1200 randomly

A shoe company checks police records on 1200 randomly selected auto accidents and notes that teenagers were at the wheel in 180 of them. Construct a 90% confidence interval estimate of the proportion of shoe accidents th ...

Reading journal assignment stage iifor this portion of the

Reading Journal Assignment Stage II For this portion of the journal, you will create five journal entries, each addressing the prompts given below. Each entry will be one page in length, double spaced, with 12 point font ...

Research objectives to explore correlations between reward

Research Objectives To explore correlations between reward systems and team work attributes in the Saudi Arabian bank sector To explore relationships between reward systems and team work effectiveness in the Saudi Arabia ...

My variables are 1 sat scores between 600- 2400 2 gender 3

My variables are: 1. SAT scores between 600- 2400, 2. Gender, 3. Type of college attended, 1 for public university, 2 for private university, 4. Type of degree held: 1 for bachelors, 2 for masters, 3 for PHD or doctorate ...

A population of lawnmowers life expectancy is described

A population of lawnmowers' life expectancy is described with a Weibull distribution, where α=1 and β=15. Determine 1× (once) and 2× (twice) the expected mean lifes for the population, as well as their corresponding cumu ...

Suppose that the matching problem is to match nm men to nw

Suppose that the matching problem is to match nm men to nw women, where nw (a) Describe in detail the generalization of the Gale-Shapley algorithm for this case. Prove that the algorithm terminates with a stable matching ...

1 explain the difference between rejecting and failing to

1. Explain the difference between rejecting and failing to reject the null hypothesis. In which case does a researcher conclude that the independent variable has an effect on the dependent variable? 2. Distinguish betwee ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro