The fowing le LPP Max 2-SX - T2 X3 Olundrede of dollars S) XT+ 42 23 60 XI- 222X3 30 (production capacity: hours) (warehouse capacity: hundrede of sq R) (demand for6or. glasses, hundreds of ceses) Basis CB 5X1 7X2 6X3 51 $2 53 RHS X2 S1 X1 1. 0.6 0.5 10 10 -1 10 5. 8.5 1.6 120 C-2 -2.5 -1.5 What effect on the optimal solution (value of Z) ,if we change the profit of X3 rom 6 to $2.1?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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The following leLPP
Max Z-SX - 72 6X3 (lundrede of dollars S)
X1+ 4X2 23 60
2X1- 2X2 3X3 40
XT• 2X2. 2X3 30
(production capacity: hours) (warehouse capacity: hundrede of sq. ) (demand for 6 or. glassee; undreds of cesos)
Basis
CB
5X1
7X2
6X3
51
S2
RHS
X2
S1
X1
0.6
0.6
10
-1
1
1.
10
0.
10
7.
8.5
7.6
120
C-Z
-2.5
-1.5
-2
What effect on the optimal solution (value of Z) ,if we change the profit of X3
from 6 to $2.1 ?
Transcribed Image Text:The following leLPP Max Z-SX - 72 6X3 (lundrede of dollars S) X1+ 4X2 23 60 2X1- 2X2 3X3 40 XT• 2X2. 2X3 30 (production capacity: hours) (warehouse capacity: hundrede of sq. ) (demand for 6 or. glassee; undreds of cesos) Basis CB 5X1 7X2 6X3 51 S2 RHS X2 S1 X1 0.6 0.6 10 -1 1 1. 10 0. 10 7. 8.5 7.6 120 C-Z -2.5 -1.5 -2 What effect on the optimal solution (value of Z) ,if we change the profit of X3 from 6 to $2.1 ?
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