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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.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CR: Chapter Review
Problem 70E: A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three...
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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.
Transcribed Image Text: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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