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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30401380-85fc-44c9-ad6b-32fbaae62e9d%2F2844fb4c-e61f-4896-86c4-2bb0463d4297%2Fhue4be7_processed.png&w=3840&q=75)
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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