2. The tableau is not optimal for either maximization or a minimizationproblem. Thus, when a nonbasic variable enters the solution it can eitherincrease or decrease Z or leave it unchanged, depending on the parameters ofthe entering nonbasic variable.Basic x1X2X3X4X5X6X7Xgsolutionz O-54-1-10598X83-2-3-15112X3113136X11-1 0 0 6-4 0 0(a) Categorize the variables as basic and nonbasic and provide the currentvalues of all the variables.(b) Assuming that the problem is of the maximization type, identify thenonbasic variables that have the potential to improve the value of Z. If eachsuch variable enters the basic solution, determine the associated leavingvariable, if any, and the associated change in Z.(c)Repeat part (b) assuming that the problem is of the minimizationtype.(d)Which nonbasic variable(s) will not cause a change in the value ofZ when selected to enter the solution?

Name: 2. The tableau is not optimal for either maximization or a minimizati
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Description: 2. The tableau is not optimal for either maximization or a minimizationproblem. Thus, when a nonbasic variable enters the solution it can eitherincrease or decrease Z or leave it unchanged, depending on the parameters ofthe entering nonbasic variabl

Basic variables are the variables mentioned in the Basis column in the table, therefore X1, X3, X8…

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2. The tableau is not optimal for either maximization or a minimization problem. Thus, when a nonbasic variable enters the solution it can either increase or decrease Z or leave it unchanged, depending on the parameters of the entering nonbasic variable. Basic x1 X2 X3 X4 X5 X6 X7 Xg solution z O -5 4 -1 -10 598 X8 -2 -3 -1 12 X3 1 1 6 x1 1 -1 0 0 6 -4 0 0 (a) Categorize the variables as basic and nonbasic and provide the current

2. The tableau is not optimal for either maximization or a minimization problem. Thus, when a nonbasic variable enters the solution it can either increase or decrease Z or leave it unchanged, depending on the parameters of the entering nonbasic variable. Basic x1 X2 X3 X4 X5 X6 X7 Xg solution z O -5 4 -1 -10 598 X8 -2 -3 -1 12 X3 1 1 6 x1 1 -1 0 0 6 -4 0 0 (a) Categorize the variables as basic and nonbasic and provide the current

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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