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Answer the questions on the following mathematical programming problem: max x₁x₂ subject to 2x₁ + x₂ ≤8 x₁ + x₂ ≤5 x₁ ≥ 0, x₂ ≥0 (1) α=1のとき、 最適解を示せ。 Solve the problem and show the optimal solution, when a=1. (2) 最適解が(x, x2)=(3,2) となるα の範囲を示せ。 Show the interval of a in which the optimal solution of the problem is (x₁,x₂)=(3,2).

Answer the questions on the following mathematical programming problem: max x₁x₂ subject to 2x₁ + x₂ ≤8 x₁ + x₂ ≤5 x₁ ≥ 0, x₂ ≥0 (1) α=1のとき、 最適解を示せ。 Solve the problem and show the optimal solution, when a=1. (2) 最適解が(x, x2)=(3,2) となるα の範囲を示せ。 Show the interval of a in which the optimal solution of the problem is (x₁,x₂)=(3,2).

Advanced Engineering Mathematics
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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Answer the questions on the following mathematical programming problem: max x₁x2 subject to 2x₁ + x₂ ≤8 x₁ + x₂ ≤5 x₁ ≥ 0, x₂ ≥ 0 (1) α=1のとき、最適解を示せ。 Solve the problem and show the optimal solution, when a =1. (2) 最適解が(x, x2)=(3,2) となるαの範囲を示せ。 Show the interval of a in which the optimal solution of the problem is (x₁, x₂)=(3,2).
Transcribed Image Text:Answer the questions on the following mathematical programming problem: max x₁x2 subject to 2x₁ + x₂ ≤8 x₁ + x₂ ≤5 x₁ ≥ 0, x₂ ≥ 0 (1) α=1のとき、最適解を示せ。 Solve the problem and show the optimal solution, when a =1. (2) 最適解が(x, x2)=(3,2) となるαの範囲を示せ。 Show the interval of a in which the optimal solution of the problem is (x₁, x₂)=(3,2).
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