b) Consider the following linear program: Maximize: z =x. + 3x. + 2x. + 2x. subject to: x. + 2x. + x + 3x, + x. -2х. +х, + 3x. -х. +х + 2х. + X. +x with: all variables nonnegative How may basic variables does the problem has? Give an example of variables which can not form a set of basic variables together. Give reasons. i) ii) iii) Write one degenerate basic feasible solution.

b) Consider the following linear program: Maximize: z =x. + 3x. + 2x. + 2x. subject to: x. + 2x. + x + 3x, + x. -2х. +х, + 3x. -х. +х + 2х. + X. +x with: all variables nonnegative How may basic variables does the problem has? Give an example of variables which can not form a set of basic variables together. Give reasons. i) ii) iii) Write one degenerate basic feasible solution.

Name: b) Consider the following linear program:Maximize: z =x + 3x. + 2x +
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Description: b) Consider the following linear program:Maximize: z =x + 3x. + 2x + 2x.subject to: x + 2x: + x + 3x. + x= 6-2х. +х, + 3x.-х. +х, + 2х.- X.6= 4with: all variables nonnegativeHow may basic variables does the problem has?Give an example of variables w

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

b) Consider the following linear program:
Maximize: z =x + 3x. + 2x + 2x.
subject to: x + 2x: + x + 3x. + x
= 6
-2х. +х, + 3x.
-х. +х, + 2х.
- X.
6
= 4
with: all variables nonnegative
How may basic variables does the problem has?
Give an example of variables which can not form a set of basic variables together.
Give reasons.
i)
ii)
iii)
Write one degenerate basic feasible solution.

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