Max. Z= 12X, + 14X2 Subject to: 2X, + 3X2 s 24 (Constraint of raw material R1) 2X1 + X2s 16 (Constraint.of raw material R2) X1s 7 (Demand for product X1) X1 X2 2 0 1- By using the Algebraic Analysis find whether a change in the right- hand side for constraint of raw material R2, (16), and the current basis remains optimal.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Max. Z= 12X, + 14X2
Subject to: 2X, + 3X2 s 24
(Constraint of raw material R1)
2X1 + X2s 16
(Constraint.of raw material R2)
X1s 7
(Demand for product X1)
X1 X2 2 0
1- By using the Algebraic Analysis,
find whether a change in the right-
hand side for constraint of raw
material R2, (16), and the current
basis remains optimal.
2- Change this linear programming
model to Dual Problem Model, and
find the values of the variables and
W by using the optimal simplex
tableau which shown below.
B.V. X X2 S1
S3
X1
-1/4 3/4
6.
X2
1/2 -1/2
4.
S3
1/4 -3/4
11
1.
Transcribed Image Text:Max. Z= 12X, + 14X2 Subject to: 2X, + 3X2 s 24 (Constraint of raw material R1) 2X1 + X2s 16 (Constraint.of raw material R2) X1s 7 (Demand for product X1) X1 X2 2 0 1- By using the Algebraic Analysis, find whether a change in the right- hand side for constraint of raw material R2, (16), and the current basis remains optimal. 2- Change this linear programming model to Dual Problem Model, and find the values of the variables and W by using the optimal simplex tableau which shown below. B.V. X X2 S1 S3 X1 -1/4 3/4 6. X2 1/2 -1/2 4. S3 1/4 -3/4 11 1.
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