Consider the following LP formulation: Maximize Z= 2x1 + X2 -3x3+5x4 Subject to X1 +2x2 +2x3+4x4sb1 2x1 -X2 +X3+2x4sbz 4x1 -2x2 +X3+X4Sb3 X1, X2, X3, X4 20 the following optimal tableau corresponds to specific values of b1, b2 and b3:

Practical Management Science
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Chapter2: Introduction To Spreadsheet Modeling
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Question #2
Consider the following LP formulation:
Maximize Z= 2x1 + X2 -3x3+5x4
Subject to
X1 +2x2 +2x3+4x4Sb1
2x1 -X2 +X3+2x4<b2
4x1 -2x2 +X3+X4sb3
X1, Ха, Хз, Ха 20
the following optimal tableau corresponds to specific values of b1, b2 and b3:
X1
X2
X3
X4
S1
S2
S3
RHS
37/100
5.5
3/4
X2
-3/4
d
1/4
j
6
a
X4
5/8
b.
1/8
k
7
e
S3
25/8
5/8
Determine the following
a) find the missing elements in the table.
b) find the values of b1, b2 and b3.
c) The optimal dual solution.
d) supposed that the objective function is Maximize Z= 1x1 + x2 -5x3+5x4, compute the new RHS in
the optimal tableau.
Transcribed Image Text:Question #2 Consider the following LP formulation: Maximize Z= 2x1 + X2 -3x3+5x4 Subject to X1 +2x2 +2x3+4x4Sb1 2x1 -X2 +X3+2x4<b2 4x1 -2x2 +X3+X4sb3 X1, Ха, Хз, Ха 20 the following optimal tableau corresponds to specific values of b1, b2 and b3: X1 X2 X3 X4 S1 S2 S3 RHS 37/100 5.5 3/4 X2 -3/4 d 1/4 j 6 a X4 5/8 b. 1/8 k 7 e S3 25/8 5/8 Determine the following a) find the missing elements in the table. b) find the values of b1, b2 and b3. c) The optimal dual solution. d) supposed that the objective function is Maximize Z= 1x1 + x2 -5x3+5x4, compute the new RHS in the optimal tableau.
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