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Q1. Find the optimal solution of the following linear programing (LP) problem without using the Simplex Algorithm (Hint: Construct the dual model, find its optimal solution without using Simplex Algorithm and utilize the Complementary Slackness Theorem). (LP): max z= 4x1+3x2+6x3 Subject to 4x1 + x2 + 3x3 ≤30 2x1 + 2x2 + 3x3 ≤40 x1, x2, x3 ≥ 0

Q1. Find the optimal solution of the following linear programing (LP) problem without using the Simplex Algorithm (Hint: Construct the dual model, find its optimal solution without using Simplex Algorithm and utilize the Complementary Slackness Theorem). (LP): max z= 4x1+3x2+6x3 Subject to 4x1 + x2 + 3x3 ≤30 2x1 + 2x2 + 3x3 ≤40 x1, x2, x3 ≥ 0

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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Q1. Find the optimal solution of the following linear programing (LP) problem without using the Simplex Algorithm (Hint: Construct the dual model, find its optimal solution without using Simplex Algorithm and utilize the Complementary Slackness Theorem). (LP): max z= 4x1 + 3x2 + 6x3 Subject to 4x1 + x2 + 3x3 ≤30 2x1 + 2x2 + 3x3 ≤40 x1, x2, x3 20
Transcribed Image Text:Q1. Find the optimal solution of the following linear programing (LP) problem without using the Simplex Algorithm (Hint: Construct the dual model, find its optimal solution without using Simplex Algorithm and utilize the Complementary Slackness Theorem). (LP): max z= 4x1 + 3x2 + 6x3 Subject to 4x1 + x2 + 3x3 ≤30 2x1 + 2x2 + 3x3 ≤40 x1, x2, x3 20
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