Product Blend ExamplePetroleum Mix InputsComponent123Petroleum Mix ProductsComponentSpecificationsGradeSuperPremiumMaximum BarrelsAvailable/Day4,5002,7003,500ExtraAt least 50% of 1Not more than 30% of 2At least 40% of 1Not more than 25% of 3At least 60% of 1At least 10% of 2Cost/Barrel$121014SellingPrice/Barrel$232018• Produce at least 3,000 Barrels of each grade. Looking back at the Product Blend Example, what would the constraint look like if you needed atleast 45% of "Super" Grade to be Component #2?Remember, xij = barrels of component i used in motor oil grade j per day,where i = 1, 2, 3 and j = s (super), p (premium), and e (extra).So, X1e is the number of barrels of Component #1 used in the Extra grade oil, per day.0.45x25 -0.55x15 - 0.55x35 ² 0.00.7x1e - 0.3x2e - 0.3x3e ≥ 0.00.55x2s - 0.45x15 -0.45x35 ≤ 0.450.55x25 -0.45x15 -0.45X35 ²0.0

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Answered: Product Blend Example • Petroleum Mix…

Advanced Engineering Mathematics

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ISBN:9780470458365

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Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Product Blend Example • Petroleum Mix Inputs Maximum Barrels Available/Day 4,500 2,700 3,500 Petroleum Mix Products Component 1 2 3 Cost/Barrel $12 10 14