asider the following problem: Maximize Z = 4.x1 + 5x2 3.x3 (1) (2) subject to -xị X2 + 2х3 < -20 15x1 + 6x2 + 5x3 < + 3x2 xị 2 0, x2 > 0, æ3 < 0. 50 X1 5x3 < 30 Reformulate the problem so that the goal is "maximizing an objective function," the right-hand-side of each functional constraint is non-negative and each variable has a non-negativity constraint. Construct the phase-1 problem in algebraic/tabular form by introducing slack, excess and/or artificial variables. Define all variables clearly. Work through the phase-1 of the two-phase method in tabular form to demonstrate that the problem has no feasible solutions. In each simplex tableau, identify the current solution for (x1, x2, x3).
asider the following problem: Maximize Z = 4.x1 + 5x2 3.x3 (1) (2) subject to -xị X2 + 2х3 < -20 15x1 + 6x2 + 5x3 < + 3x2 xị 2 0, x2 > 0, æ3 < 0. 50 X1 5x3 < 30 Reformulate the problem so that the goal is "maximizing an objective function," the right-hand-side of each functional constraint is non-negative and each variable has a non-negativity constraint. Construct the phase-1 problem in algebraic/tabular form by introducing slack, excess and/or artificial variables. Define all variables clearly. Work through the phase-1 of the two-phase method in tabular form to demonstrate that the problem has no feasible solutions. In each simplex tableau, identify the current solution for (x1, x2, x3).
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
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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