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< Question 4 > Lawns Unlimited is a lawn care and maintenance company. One of its services is to seed new lanes as well as bare or damaged areas in established lawns. The company uses three basic grass seed mixes it calls Home1, Home 2, and Commercial 3. It uses three kind of grass seed – tall fescue, mustang fescue, and bluegrass. The requirements for each grass mix are a s follows. Mix Requirements Home 1 No more than 50% tall fescue 100 At least 20% mustang fescue Home 2 At least 30% bluegrass albbin E At least 30% mustang fescue No more than 20% tall fescue Commercial 3 At least 50% but no more than 70% tall fescue At least 10% bluegrass The company believes it needs to have at least 1,200 pounds of Home 1 mix, 900 pounds of Home 2 mix, and 2,400 pounds of Commercial 3 seed mix on hand. A pound 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 how many pounds of each type of grass seed ton purchased to minimize cost. Formulate a linear programming model for this problem. 238 55 45 15

< Question 4 > Lawns Unlimited is a lawn care and maintenance company. One of its services is to seed new lanes as well as bare or damaged areas in established lawns. The company uses three basic grass seed mixes it calls Home1, Home 2, and Commercial 3. It uses three kind of grass seed – tall fescue, mustang fescue, and bluegrass. The requirements for each grass mix are a s follows. Mix Requirements Home 1 No more than 50% tall fescue 100 At least 20% mustang fescue Home 2 At least 30% bluegrass albbin E At least 30% mustang fescue No more than 20% tall fescue Commercial 3 At least 50% but no more than 70% tall fescue At least 10% bluegrass The company believes it needs to have at least 1,200 pounds of Home 1 mix, 900 pounds of Home 2 mix, and 2,400 pounds of Commercial 3 seed mix on hand. A pound 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 how many pounds of each type of grass seed ton purchased to minimize cost. Formulate a linear programming model for this problem. 238 55 45 15

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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< Question 4 > Lawns Unlimited is a lawn care and maintenance company. One of its services is to seed new lanes as well as bare or damaged areas in established lawns. The company uses three basic grass seed mixes it calls Home1, Home 2, and Commercial 3. It uses three kind of grass seed – tall fescue, mustang fescue, and bluegrass. The requirements for each grass mix are a s follows. Mix Requirements Home 1 No more than 50% tall fescue 100 At least 20% mustang fescue Home 2 At least 30% bluegrass albbin E At least 30% mustang fescue No more than 20% tall fescue Commercial 3 At least 50% but no more than 70% tall fescue At least 10% bluegrass The company believes it needs to have at least 1,200 pounds of Home 1 mix, 900 pounds of Home 2 mix, and 2,400 pounds of Commercial 3 seed mix on hand. A pound 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 how many pounds of each type of grass seed ton purchased to minimize cost. Formulate a linear programming model for this problem. 238 55 45 15
Transcribed Image Text:< Question 4 > Lawns Unlimited is a lawn care and maintenance company. One of its services is to seed new lanes as well as bare or damaged areas in established lawns. The company uses three basic grass seed mixes it calls Home1, Home 2, and Commercial 3. It uses three kind of grass seed – tall fescue, mustang fescue, and bluegrass. The requirements for each grass mix are a s follows. Mix Requirements Home 1 No more than 50% tall fescue 100 At least 20% mustang fescue Home 2 At least 30% bluegrass albbin E At least 30% mustang fescue No more than 20% tall fescue Commercial 3 At least 50% but no more than 70% tall fescue At least 10% bluegrass The company believes it needs to have at least 1,200 pounds of Home 1 mix, 900 pounds of Home 2 mix, and 2,400 pounds of Commercial 3 seed mix on hand. A pound 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 how many pounds of each type of grass seed ton purchased to minimize cost. Formulate a linear programming model for this problem. 238 55 45 15
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