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Consider the following linear program: maximize: 4r +2r2 +3r3 s.t. r1- 2r2 + 3r3 < 12 - r1 +3r2 +x3 58 1, 12, 13 20 Solve the linear program by the Simplex Method. You should show all working steps (each pivoting opera- tions) and explicate the selection of basic and non-basic variables.

Consider the following linear program: maximize: 4r +2r2 +3r3 s.t. r1- 2r2 + 3r3 < 12 - r1 +3r2 +x3 58 1, 12, 13 20 Solve the linear program by the Simplex Method. You should show all working steps (each pivoting opera- tions) and explicate the selection of basic and non-basic variables.

Advanced Engineering Mathematics
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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### Linear Programming Example Consider the following linear program: **Objective:** Maximize: \( 4x_1 + 2x_2 + 3x_3 \) **Subject to Constraints:** 1. \( x_1 - 2x_2 + 3x_3 \leq 12 \) 2. \( -x_1 + 3x_2 + x_3 \leq 8 \) 3. \( x_1, x_2, x_3 \geq 0 \) **Task:** Solve the linear program using the Simplex Method. You should show all working steps, including each pivoting operation, and explicate the selection of basic and non-basic variables.
Transcribed Image Text:### Linear Programming Example Consider the following linear program: **Objective:** Maximize: \( 4x_1 + 2x_2 + 3x_3 \) **Subject to Constraints:** 1. \( x_1 - 2x_2 + 3x_3 \leq 12 \) 2. \( -x_1 + 3x_2 + x_3 \leq 8 \) 3. \( x_1, x_2, x_3 \geq 0 \) **Task:** Solve the linear program using the Simplex Method. You should show all working steps, including each pivoting operation, and explicate the selection of basic and non-basic variables.
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