A firm has two plants, A and B, that manufacture three products, P1, P2, and P3. In one day Plant A can manufacture 30 of P1, 30 of P2, and 10 of P3, and costs $10386 a day to operate, whereas Plant B can manufacture 10 of P1, 20 of P2 and 30 of P3, and costs $4800 a day to operate. At least 240 of the first product, 390 of the second, and 410 of the third are needed. How many days must each plant operate in order to minimize cost? Find the minimum cost.plant A daysplant B daysminimum cost $

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Answered: A firm has two plants, A and B, that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A firm has two plants, A and B, that manufacture three products, P₁, P₂, and P₃. In one day Plant A can manufacture 30 of P₁, 30 of P₂, and 10 of P₃, and costs $10386 a day to operate, whereas Plant B can manufacture 10 of P₁, 20 of P₂ and 30 of P₃, and costs $4800 a day to operate. At least 240 of the first product, 390 of the second, and 410 of the third are needed. How many days must each plant operate in order to minimize cost? Find the minimum cost.