The sets A and B are defined as follows: A = {x € R5 : max (| − x1 + 2x2 + x3 − X4|, x1 + x² − x5) ≤ 2}; - B = {x € R5 : −2x1 + x2 + x3 = 4, −X1 + X2 − X4 + X5 = 1, xį ≥0, i=1,..., 5}. a) Is the set An B convex? b) Is the point (0, 1, 3, 0, 0) a basic feasible solution for the set B?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Problem 3
The sets A and B are defined as follows:
A = {x € R5 : max (| − x1 + 2x2 + x3 − X4], X1 + x² − x5) ≤ 2};
B = {x € R³ : −2x1 + x2 + x3 = 4, −X1 + X2 −X4+x5=1, xį ≥0, i=1,...,5}.
a) Is the set An B convex?
b) Is the point (0, 1, 3, 0, 0) a basic feasible solution for the set B?
Transcribed Image Text:Problem 3 The sets A and B are defined as follows: A = {x € R5 : max (| − x1 + 2x2 + x3 − X4], X1 + x² − x5) ≤ 2}; B = {x € R³ : −2x1 + x2 + x3 = 4, −X1 + X2 −X4+x5=1, xį ≥0, i=1,...,5}. a) Is the set An B convex? b) Is the point (0, 1, 3, 0, 0) a basic feasible solution for the set B?
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