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4(b) Consider the region in R3³ defined by the following inequalities: x₁ + 3x₂ + x3 ≤ 4, 2x1 + x2+2x3 ≥ 1, I1, I2, I3 > 0. (i) Write down the linear system obtained from this system of in- equalities by adding non-negative slack variables 4 and 5. (ii) Find the basic solution corresponding to the basic variables 23 and 15.

4(b) Consider the region in R3³ defined by the following inequalities: x₁ + 3x₂ + x3 ≤ 4, 2x1 + x2+2x3 ≥ 1, I1, I2, I3 > 0. (i) Write down the linear system obtained from this system of in- equalities by adding non-negative slack variables 4 and 5. (ii) Find the basic solution corresponding to the basic variables 23 and 15.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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4(b) Consider the region in R³ defined by the following inequalities: x1 + 3x2 + x3 ≤ 4, 2x1 + x2+2x3 ≥ 1, I1, I2, I3 > 0. (i) Write down the linear system obtained from this system of in- equalities by adding non-negative slack variables 4 and 25. (ii) Find the basic solution corresponding to the basic variables 3 and 15.
Transcribed Image Text:4(b) Consider the region in R³ defined by the following inequalities: x1 + 3x2 + x3 ≤ 4, 2x1 + x2+2x3 ≥ 1, I1, I2, I3 > 0. (i) Write down the linear system obtained from this system of in- equalities by adding non-negative slack variables 4 and 25. (ii) Find the basic solution corresponding to the basic variables 3 and 15.
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