Minimize z = 24X1 + 28X2 subject to 5X1 + 4X2 <= 2,000 X1 + X2 >= 300 X1 >= 100 X1, X2 >=0 Solve the above problem with the simplex method. Provide the value of the basic variables(BV) at tableau #3 and the optimal solution of the LP. Notes: Set M = 100. Tableau #1 is the initial tableau where an inconsistency exists on row z. Tableau #2 is the tableau where the inconsistency on row z is fixed. Set s1 as the slack variable for constraint 1

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
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  1. Minimize z = 24X1 + 28X2 subject to 5X1 + 4X2 <= 2,000 X1 + X2 >= 300 X1 >= 100 X1, X2 >=0 Solve the above problem with the simplex method. Provide the value of the basic variables(BV) at tableau #3 and the optimal solution of the LP. Notes: Set M = 100. Tableau #1 is the initial tableau where an inconsistency exists on row z. Tableau #2 is the tableau where the inconsistency on row z is fixed. Set s1 as the slack variable for constraint 1
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