1. Solve the following linear programmne using the 2-phase simplex algorithm. You should give the initial tableau and each further tableau produced during the exe- cution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize x12x2 x3 - 4x4 subject to 2x1 + x2 - 2x3x4≥ 1, 5x1 + x2 x3x4 ≤ -1, 2x1 + x2 x3 3x4 2, X1, X2, X3, X4 ≥ 0.
1. Solve the following linear programmne using the 2-phase simplex algorithm. You should give the initial tableau and each further tableau produced during the exe- cution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize x12x2 x3 - 4x4 subject to 2x1 + x2 - 2x3x4≥ 1, 5x1 + x2 x3x4 ≤ -1, 2x1 + x2 x3 3x4 2, X1, X2, X3, X4 ≥ 0.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2CEXP
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