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An oil company produces regular and premium gasolinelfor stations in the southeast United States. They create the two types of gasoline by blending three ingredients; component 1, 2 and 3. They want to know how to mix the ingredients to maximize profit. The table below shows the cost of each ingredient. The company sells regular gas for $2.50 per gallon and premium for $ 3.25 per gallon. Amount Available 5,000 gallons 10,000 gallons 10,000 gallons Component 1 Cost/Gallon $1.50 $1.75 $1.90 2 3 The company has committed to sell 10,000 gallons of regular gas each week. The product specifications are listed below; Must contain at most 30% of component 1 Must contain at least 40% of component 2 Must contain at most 20% of component 3 Regular gasoline Premium gasoline Must contain at least 25% of component 1 Must contain at most 40% of component 2 Must contain at least 30% of component 3 Formulate this as an LP problem and label your variables and constraints.

An oil company produces regular and premium gasolinelfor stations in the southeast United States. They create the two types of gasoline by blending three ingredients; component 1, 2 and 3. They want to know how to mix the ingredients to maximize profit. The table below shows the cost of each ingredient. The company sells regular gas for $2.50 per gallon and premium for $ 3.25 per gallon. Amount Available 5,000 gallons 10,000 gallons 10,000 gallons Component 1 Cost/Gallon $1.50 $1.75 $1.90 2 3 The company has committed to sell 10,000 gallons of regular gas each week. The product specifications are listed below; Must contain at most 30% of component 1 Must contain at least 40% of component 2 Must contain at most 20% of component 3 Regular gasoline Premium gasoline Must contain at least 25% of component 1 Must contain at most 40% of component 2 Must contain at least 30% of component 3 Formulate this as an LP problem and label your variables and constraints.

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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An oil company produces regular and premium gasolinelfor stations in the southeast United States. They create the two types of gasoline by blending three ingredients; component 1, 2 and 3. They want to know how to mix the ingredients to maximize profit. The table below shows the cost of each ingredient. The company sells regular gas for $2.50 per gallon and premium for $ 3.25 per gallon. Amount Available 5,000 gallons 10,000 gallons 10,000 gallons Cost/Gallon Component 1 $1.50 $1.75 $1.90 3 The company has committed to sell 10,000 gallons of regular gas each week. The product specifications are listed below; Must contain at most 30% of component 1 Must contain at least 40% of component 2 Must contain at most 20% of component 3 Regular gasoline Must contain at least 25% of component 1 Must contain at most 40% of component 2 Must contain at least 30% of component 3 Premium gasoline Formulate this as an LP problem and label your variables and constraints.
Transcribed Image Text:An oil company produces regular and premium gasolinelfor stations in the southeast United States. They create the two types of gasoline by blending three ingredients; component 1, 2 and 3. They want to know how to mix the ingredients to maximize profit. The table below shows the cost of each ingredient. The company sells regular gas for $2.50 per gallon and premium for $ 3.25 per gallon. Amount Available 5,000 gallons 10,000 gallons 10,000 gallons Cost/Gallon Component 1 $1.50 $1.75 $1.90 3 The company has committed to sell 10,000 gallons of regular gas each week. The product specifications are listed below; Must contain at most 30% of component 1 Must contain at least 40% of component 2 Must contain at most 20% of component 3 Regular gasoline Must contain at least 25% of component 1 Must contain at most 40% of component 2 Must contain at least 30% of component 3 Premium gasoline Formulate this as an LP problem and label your variables and constraints.
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