List the vertices in R³ of the convex region defined by Ax ≤ b and x ≥ 0 where 2 1 ---D 1 1 1 and b = 6 1 4 3 L: A = 1 (A) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 1), (½, 0, 0), (1, 2, 3), (3, 0, ¹), (0, 3, 3) (B) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 4), (½, 0, 0), (1, 2, 3), (3, 0, ¹¹), (0, 3, 2) (C) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 3), ( ½, 0, 0), (1, 1, 3), (3, 0, ¹), (0, 3, 2) (D) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 4), ( ½, 0, 0), (1, 2, 3), (3, 0, ¹) (E) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 1), (½, 0, 0), (1, 2, 3), (3, 0, ¹) (F) (0, 0, 0), (0, 0, 6), (0, 1, 0), (1, 0, 0), (1, 2, 3), (3, 0, ¹), (0, 3, 2) (G) (0, 0, 0), (0, 0, 6), (0, 1, 0), (1, 0, 0), (1, 2, 3), (3, 0, ¹), (0, 3, 3) (H) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 1), ( ½, 0, 0), (1, 1, 3), (3, 0, ¹), (0, 3, 2) Select 18

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
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List the vertices in R³ of the convex region defined by Ax ≤ b and x ≥ 0 where
2 1
---D
1 1 1 and b = 6
1 4 3
L:
A
=
1
(A) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 1), (½, 0, 0), (1, 2, 3), (3, 0, ¹), (0, 3, 3)
(B) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 4), (½, 0, 0), (1, 2, 3), (3, 0, ¹¹), (0, 3, 2)
(C) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 3), ( ½, 0, 0), (1, 1, 3), (3, 0, ¹), (0, 3, 2)
(D) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 4), ( ½, 0, 0), (1, 2, 3), (3, 0, ¹)
(E) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 1), (½, 0, 0), (1, 2, 3), (3, 0, ¹)
(F) (0, 0, 0), (0, 0, 6), (0, 1, 0), (1, 0, 0), (1, 2, 3), (3, 0, ¹), (0, 3, 2)
(G) (0, 0, 0), (0, 0, 6), (0, 1, 0), (1, 0, 0), (1, 2, 3), (3, 0, ¹), (0, 3, 3)
(H) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 1), ( ½, 0, 0), (1, 1, 3), (3, 0, ¹), (0, 3, 2)
Select
18
Transcribed Image Text:List the vertices in R³ of the convex region defined by Ax ≤ b and x ≥ 0 where 2 1 ---D 1 1 1 and b = 6 1 4 3 L: A = 1 (A) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 1), (½, 0, 0), (1, 2, 3), (3, 0, ¹), (0, 3, 3) (B) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 4), (½, 0, 0), (1, 2, 3), (3, 0, ¹¹), (0, 3, 2) (C) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 3), ( ½, 0, 0), (1, 1, 3), (3, 0, ¹), (0, 3, 2) (D) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 4), ( ½, 0, 0), (1, 2, 3), (3, 0, ¹) (E) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 1), (½, 0, 0), (1, 2, 3), (3, 0, ¹) (F) (0, 0, 0), (0, 0, 6), (0, 1, 0), (1, 0, 0), (1, 2, 3), (3, 0, ¹), (0, 3, 2) (G) (0, 0, 0), (0, 0, 6), (0, 1, 0), (1, 0, 0), (1, 2, 3), (3, 0, ¹), (0, 3, 3) (H) (0, 0, 0), (0, 0, 6), (0, 1, 0), (0, 2, 1), ( ½, 0, 0), (1, 1, 3), (3, 0, ¹), (0, 3, 2) Select 18
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