Consider the following NLP: min z = x? + 3x – 2x3 + 5x1x2 - 2x2x3 - 5x1 – 93 s.t. -X1 + 3x2 + X3 = 10 4x + x – 2x3 2 13 Assume the current solution is [2, 0, 0]". Show which of the following is an improving direction, a feasible lirection, or an improving and feasible direction (Show all your work):

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3BEXP
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Consider the following NLP:
min z = xỉ + 3x – 2x3 + 5x1x2 - 2x2x3 - 5x1 – 93
s.t.
-x1 + 3x2 + x3 = 10
4x + x – 2x3 2 13
Assume the current solution is [2, 0, 0]". Show which of the following is an improving direction, a feasible
direction, or an improving and feasible direction (Show all your work):
1) di = [2, 0, 5]".
2) d2 = [2, - 3, 11]".
3) dz = [1, - 1, 4]".
Transcribed Image Text:Consider the following NLP: min z = xỉ + 3x – 2x3 + 5x1x2 - 2x2x3 - 5x1 – 93 s.t. -x1 + 3x2 + x3 = 10 4x + x – 2x3 2 13 Assume the current solution is [2, 0, 0]". Show which of the following is an improving direction, a feasible direction, or an improving and feasible direction (Show all your work): 1) di = [2, 0, 5]". 2) d2 = [2, - 3, 11]". 3) dz = [1, - 1, 4]".
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