Minimize: C = 2x1 + x2 Subject to the constraints: 5x1 + x₂ ≥ 9 2x12x2 > 10 x1 ≥ 0 x2 > 0

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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Use the simplex method and the Duality Principle to solve the following minimum problem

Minimize:
C = 2x1 + x₂
Subject to the constraints:
5x1 + x₂ > 9
2x12x2 > 10
x1 ≥ 0
0
X2
Transcribed Image Text:Minimize: C = 2x1 + x₂ Subject to the constraints: 5x1 + x₂ > 9 2x12x2 > 10 x1 ≥ 0 0 X2
Expert Solution
Step 1: Introduction of the given problem

Minimize C equals 2 x subscript 1 plus x subscript 2

subjected to the constrain

5 x subscript 1 plus x subscript 2 greater or equal than 9
2 x subscript 1 plus 2 x subscript 2 greater or equal than 10
x subscript 1 greater or equal than 0
x subscript 2 greater or equal than 0

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