Question
A linear programming computer package is needed. Seastrand Oil Company produces two grades of gasoline: regular and high octane. Both gasolines are produced by blending
A linear programming computer package is needed.
Seastrand Oil Company produces two grades of gasoline: regular and high octane. Both gasolines are produced by blending two types of crude oil. Although both types of crude oil contain the two important ingredients required to produce both gasolines, the percentage of important ingredients in each type of crude oil differs, as does the cost per gallon. The percentage of ingredients A and B in each type of crude oil and the cost per gallon are shown.
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CRUDE OIL COST INGREDIENT A INGREDIENT B
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1 $0.30 20% 60%
2 $0.35 50% 30%
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Each gallon of regular gasoline must contain at least 40% of ingredient A, whereas each gallon of high octane can contain at most 50% of ingredient B. Daily demand for regular and high-octane gasoline is1,000,000and700,000gallons, respectively. How many gallons of each type of crude oil should be used in the two gasolines to satisfy daily demand at a minimum cost? (Round your answers to the nearest gallon.)
gallons of crude 1 used to produce regular ______________gal
gallons of crude 1 used to produce high-octane ________________gal
gallons of crude 2 used to produce regular ________________gal
gallons of crude 2 used to produce high-octane _______________gal
What is the total minimum cost (in $) for the gallons? (Round your answer to the nearest dollar.)
$________________
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