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a. Suppose that c2 =1 is replaced by -5. What happens to tableau? Is it still optimal? X2 is a nonbasic variable. What happens if we change the coefficient of a nonbasic variable? b. Suppose that c3=-4 is replaced by 0. What happens to tableau? Is it still optimal? X3 is a basic variable. What happens if we change the coefficient of a basic variable? c. Suppose that the right hand side which is 2 is replaced by 4 What is the new values of variables?

a. Suppose that c2 =1 is replaced by -5. What happens to tableau? Is it still optimal? X2 is a nonbasic variable. What happens if we change the coefficient of a nonbasic variable? b. Suppose that c3=-4 is replaced by 0. What happens to tableau? Is it still optimal? X3 is a basic variable. What happens if we change the coefficient of a basic variable? c. Suppose that the right hand side which is 2 is replaced by 4 What is the new values of variables?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 30E
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Min x1 + X2 - 4x3 Subject to X1 + x2 + 2x3 < 9 X1 + X2 – X3 < 2 - X1 + X2 + X3 < 4 X1, X2 , X3 2 0 The optimal tableau for this problem is given; X1 X2 X3 X4 X5 X6 RHS 1 -4 -1 -2 -17 X1 1 -1/3 1/3 -2/3 1/3 X5 2 1 1 6. X3 2/3 1 1/3 1/3 13/3
Transcribed Image Text:Min x1 + X2 - 4x3 Subject to X1 + x2 + 2x3 < 9 X1 + X2 – X3 < 2 - X1 + X2 + X3 < 4 X1, X2 , X3 2 0 The optimal tableau for this problem is given; X1 X2 X3 X4 X5 X6 RHS 1 -4 -1 -2 -17 X1 1 -1/3 1/3 -2/3 1/3 X5 2 1 1 6. X3 2/3 1 1/3 1/3 13/3
a. Suppose that c2 =1 is replaced by -5. What happens to tableau? Is it still optimal? X2 is a nonbasic variable. What happens if we change the coefficient of a nonbasic variable? b. Suppose that C3--4 is replaced by 0. What happens to tableau? Is it still optimal? Xạ is a basic variable. What happens if we change the coefficient of a basic variable? 11 c. Suppose that the right hand side which is 2 is replaced by 4 What is the new values of variables? d. Suppose that a, is changed from 1 to 2 ). What is new y½ in the tableau and what is the reduced cost of x2 now? e. Suppose a new activity x, 20 having c, = -2 and a6= 1 is introduced. What happens t tableau? Is it still optimal?
Transcribed Image Text:a. Suppose that c2 =1 is replaced by -5. What happens to tableau? Is it still optimal? X2 is a nonbasic variable. What happens if we change the coefficient of a nonbasic variable? b. Suppose that C3--4 is replaced by 0. What happens to tableau? Is it still optimal? Xạ is a basic variable. What happens if we change the coefficient of a basic variable? 11 c. Suppose that the right hand side which is 2 is replaced by 4 What is the new values of variables? d. Suppose that a, is changed from 1 to 2 ). What is new y½ in the tableau and what is the reduced cost of x2 now? e. Suppose a new activity x, 20 having c, = -2 and a6= 1 is introduced. What happens t tableau? Is it still optimal?
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