< Question 4 >Lawns Unlimited is a lawn care and maintenance company. One of its services isto seed new lanes as well as bare or damaged areas in established lawns. Thecompany uses three basic grass seed mixes it calls Home1, Home 2, andCommercial 3. It uses three kind of grass seed – tall fescue, mustang fescue, andbluegrass. The requirements for each grass mix are a s follows.Mix RequirementsHome 1No more than 50% tall fescue100At least 20% mustang fescueHome 2At least 30% bluegrassalbbin EAt least 30% mustang fescueNo more than 20% tall fescueCommercial 3At least 50% but no more than 70% tall fescueAt least 10% bluegrassThe company believes it needs to have at least 1,200 pounds of Home 1 mix, 900pounds of Home 2 mix, and 2,400 pounds of Commercial 3 seed mix on hand. Apound of tall fescue costs the company $1.70, a pound of mustang fescue costs%242.80 and a pound of bluegrass costs $3.25. The company wants to know howmany pounds of each type of grass seed ton purchased to minimize cost.Formulate a linear programming model for this problem.238554515

Let Xij be the grass i utilized in grass mix j such that, i = grass type(tall fescue, mustang…

Answered: < Question 4 > Lawns Unlimited is a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 56P

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Question CWD Oil produces two grades of gasoline: regular and premium. The profit contributions are $0.30 per gallon for regular gasoline and $0.50 per gallon for premium gasoline. Each gallon of regular gasoline contains 0.3 gallons of grade A crude oil and each gallon of premium gasoline contains 0.6 gallons of grade A crude oil. For the next production period, CWD has 18,000 gallons of grade A crude oil available. The refinery used to produce the gasolines has a production capacity of 50,000 gallons for the next production period. CWD Oil’s distributors have indicated that demand for the premium gasoline for the next production period will be at most 20,000 gallons. a. Formulate a linear programming model that can be used to determine the number of gallons ofregular gasoline and the number of gallons of premium gasoline that should be produced in order to maximize total profit contribution b. Graph the feasible region.c. Determine the coordinates of each extreme point.
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#3 Mention some drawbacks of the Linear Model?
This is question 24 under section 3.5. It is missing Mr. Meadows Cookie Company makes a variety of chocolate chip cookies in the plant in Albion, Michigan. Based on orders received and forecasts of buying habits, it is estimated that the demand for the next four months is 850, 1,260, 510, and 980, expressed in thousands of cookies. During a 46-day period when there were 120 workers, the company produced 1.7 million cookies. Assume that the number of workdays over the four months are respectively 26, 24, 20, and 16. There are currently 100 workers employed, and there is no starting inventory of cookies. a.What is the minimum constant workforce required to meet demand over the next four months? b.Assume that inventory cost is 10 cents per cookie per month; hiring cost is $1000 per worker, and firing cost is $2000 per worker, payroll cost is $75 per day per worker. Evaluate the cost of the plan derived in part (a). c. Formulate as a linear programming problem. Be sure to define…
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Pls solve with no plagiarism and details explanation
Need the answer for a and b.

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