3. Convert the following Linear Programming problem into Standard LPP form.Minimize P = 5x1 - 10x2 + x3Subject to:x1 - x2 + x3 <= 1505x1 + x2 + 2x3 >= 120Where x1, x2, x3 >=0

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Answered: Convert the following Linear…

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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Formulate a linear programming problem that can be used to solve the following question. A company has three plants that produce three different sizes of their product. The North plant can produce 2000 items in the small size, 2000 in the medium size, and 1000 in the large size. The Center plant can produce 1000 items in the small size, 2000 in the medium size, and 2000 in the large size. The South plant can produce 1000 items in the small size, 1000 in the medium size, and 1000 in the large size. The company needs to produce at least 8000 of the small items, 9000 of the medium items, and 7000 of the large items on a given day. The cost of producing the small item is $3, the medium item $5, and the large item $4. Find the number of items each plant should produce in order to minimize the cost. Let X₁, X₂, and x3 be the number of small, medium, and large items produced by the North Plant, respectively. Let Y₁, 2, and y3 be the number of small, medium, and large items produced by the…
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Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2 + x3 Subject to: x1 - x2 + x3 <= 150 5x1 + x2 + 2x3 >= 120 Where x1, x2, x3 >=0