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1. Consider the following Linear Programming (LP) problem: Maximize z = 3x1 + 2x2 Subject to 2x1 + x2 < 2 3x1 + 4x2 > 12 X1, X2 > 0 Using the Two-Phase method, determine the optimal solution (specify the special case(s) involved, if any).

1. Consider the following Linear Programming (LP) problem: Maximize z = 3x1 + 2x2 Subject to 2x1 + x2 < 2 3x1 + 4x2 > 12 X1, X2 > 0 Using the Two-Phase method, determine the optimal solution (specify the special case(s) involved, if any).

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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1. Consider the following Linear Programming (LP) problem: Maximize z = Зх, + 2х2 Subject to 2x, + x2 <2 Зх1 + 4x2 > 12 X1, X2 > 0 Using the Two-Phase method, determine the optimal solution (specify the special case(s) involved, if any). 2. Write down the normal dual linear programming (LP) problem to the following non- normal LP problem: Min z = x1 – X2 – 2x3 s.t.-3x1 – x2 + X3 < 3 2x1 – 3x2 2 4x3 X1 – X3 = X2 X1 > 0, x2 < 0, xz urs
Transcribed Image Text:1. Consider the following Linear Programming (LP) problem: Maximize z = Зх, + 2х2 Subject to 2x, + x2 <2 Зх1 + 4x2 > 12 X1, X2 > 0 Using the Two-Phase method, determine the optimal solution (specify the special case(s) involved, if any). 2. Write down the normal dual linear programming (LP) problem to the following non- normal LP problem: Min z = x1 – X2 – 2x3 s.t.-3x1 – x2 + X3 < 3 2x1 – 3x2 2 4x3 X1 – X3 = X2 X1 > 0, x2 < 0, xz urs
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