An oil company produces regular and premium gasoline for stations in the southeast United States. They create the two ty
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An oil company produces regular and premium gasoline for stations in the southeast United States. They create the two ty
company produces regular and premium gasoline for 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. Component Cost/Gallon Amount Available 1 $1.50 5,000 gallons 2 $1.75 10,000 gallons 3 $1.90 10,000 gallons The company has committed to sell 10,000 gallons of regular gas each week. The product specifications are listed below; Regular gasoline Must contain at most 30% of component 1 Must contain at least 40% of component 2 Must contain at most 20% of component 3 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