A refinery produces two grades of gasoline, regular and premium, by blending together three components, A, B, and C. Component A has an octane rating of 90 and costs $24 a barrel, component B has an octane rating of 100 and costs $34 a barrel, and component C has an octane rating of 110 and costs $36 a barrel. The octane rating for regular must be at least 95 and the octane rating for premium must be at least 105. Regular gasoline sells for $40 a barrel and premium sells for $46 a barrel. The company has 45,000 barrels of component A, 30,000 barrels of component B, and 15,000 barrels of component C, and must produce at least 35,000 barrels of regular and 25,000 barrels of premium. How should the components be blended in order to maximize profit?

A refinery produces two grades of gasoline, regular and premium, by blending together three components, A, B, and C. Component A has an octane rating of 90 and costs $24 a barrel, component B has an octane rating of 100 and costs $34 a barrel, and component C has an octane rating of 110 and costs $36 a barrel. The octane rating for regular must be at least 95 and the octane rating for premium must be at least 105. Regular gasoline sells for $40 a barrel and premium sells for $46 a barrel. The company has 45,000 barrels of component A, 30,000 barrels of component B, and 15,000 barrels of component C, and must produce at least 35,000 barrels of regular and 25,000 barrels of premium. How should the components be blended in order to maximize profit?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.CT: Chapter Test

Problem 6CT: Wholesale distribution Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 175 DVD players...

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