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 1 -1/3 1/3 -2/3 1/3 X1 X5 2 1 1 X3 2/3 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? 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 y', in the tableau and what is the reduced cost of x2 now? (€) e. Suppose a new activity x, 2 0 having c, = –2 and a,= is introduced. What happens to tableau? Is it still optimal?

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 1 -1/3 1/3 -2/3 1/3 X1 X5 2 1 1 X3 2/3 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? 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 y', in the tableau and what is the reduced cost of x2 now? (€) e. Suppose a new activity x, 2 0 having c, = –2 and a,= is introduced. What happens to tableau? Is it still optimal?

Name: Min x1 + x2 - 4x3Subject toX1 + X2 + 2x3 < 9X1 + x2 – X3 < 2- X1 + X2
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Description: Min x1 + x2 - 4x3Subject toX1 + X2 + 2x3 < 9X1 + x2 – X3 < 2- X1 + X2 + X3 < 4X1, X2 , X3 20The optimal tableau for this problem is given;X1X2X3X4X5X6RHS1-4-1-2-17-1/31/3-2/31/3X1X51Ex2/31/31/313/3a. Suppose that c2 =1 is replaced by -5. What happen

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Topic Video

Question

Min x1 + x2 - 4x3
Subject to
X1 + X2 + 2x3 < 9
X1 + x2 – X3 < 2
- X1 + X2 + X3 < 4
X1, X2 , X3 20
The optimal tableau for this problem is given;
X1
X2
X3
X4
X5
X6
RHS
1
-4
-1
-2
-17
-1/3
1/3
-2/3
1/3
X1
X5
1
Ex
2/3
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?
c. Suppose that the right hand side which is 2) is replaced by 4 ). What is the new values of variables?
. 5
d. Suppose that a, is changed from
) to ( 2). What is new y' in the tableau and what is the reduced
cost of x2 now?
e. Suppose a new activity x, 2 0 having c, = –2 and a,(
is introduced. What happens to tableau? Is
it still optimal?

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