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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffff8ccbf-4c02-43b1-b9fc-3a04135f9220%2Fa3c20740-5a6b-4cdc-8c4a-57379e899857%2F79enplf_processed.png&w=3840&q=75)
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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