b) Consider the following Linear Programming (LP) problem:Maximize z = 3x₁ + 2x2Subject to 2x₁ + x₂ ≤23x₂ + 4x₂ 2 12X₁, X₂ 20Using the Two-Phase method, determine the optimal solution (specify the special case(s)involved, if any).

Answered: Image /qna-images/answer/d5c3c329-079f-4a28-a907-571816d74862.jpg

Answered: b) Consider 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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An investor has $621,000 to invest in bonds. Bond A yields an average of 8% and the bond B yields 7%. The investor requires that at least 5 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x= dollars invested in bond Ay= dollars invested in bond B Compute x+y. $ . Round to the nearest cent. Investor Matt has $152,000 to invest in bonds. Bond A yields an average of 9.2% and the bond B yields 8.4%. Matt requires that at least 4 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. What is the maximum return? $ per year. Round to the nearest cent. Investor Dan has $607,000 to invest in bonds. Bond A yields an average of 8.5% and the bond B yields 8.4%. Dan requires that at least 4 times as much money be invested in bond A as in…
Solve this linear programming problem using the simplex method. (Suggestion: Use the row operations tool in decimal mode. Your answers probably will not come out as round numbers, but enter all answers accurate to at least 2 decimal places.) Maximize P = 23x + 3y subject to these constraints: 5x + 11y ≤ 165 10x + 4y ≤ 150 x ≥ 0 , y ≥ 0 The maximum of P = This occurs when x = and y = If u and v are the names for the slack variables used in the two constraints (u in the first constaint and v in the 2nd constraint), then give the values for u and v corresponding to the optimal corner point which produces the maximum value of P. u= v=
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Use the simplex method to solve the linear programming problem. Maximize subject to: A. The maximum is when x₁ = ₁ X₂ = ₁ S₁ = (Type integers or simplified fractions.) B. There is no maximum. with z = 10x₁ + 12x2 , S₂ = 4x₁ + 2x₂ ≤24 6x₁ + x₂ ≤50 2x₁ + 2x₂ ≤26 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. X₁ ≥ 0, X₂ ≥ 0 and s3 =
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answer a to c

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b) Consider the following Linear Programming (LP) problem: Maximize z = 3x₁ + 2x2 Subject to 2x₁ + x₂ ≤2 3x₂ + 4x₂ 2 12 X₁, X₂ 20 Using the Two-Phase method, determine the optimal solution (specify the special case(s) involved, if any).