and X 20, x2 2 0, X3 2 0, X4 2 0. Let x5 and x6 denote the slack variables for the respective con- straints. After you apply the simplex method, a portion of the fi- nal simplex tableau is as follows: Coefficient of: Basic Right Side Variable Eq. X1 X2 X3 X4 X5 X6 (0) 1 1 1 (1) (2) X2 1 -1 X4 1 (a) Use the fundamental insight presented in Sec. 5.3 to identify the missing numbers in the final simplex tableau. Show your calculations. (b) Identify the defining equations of the CPF solution corre- sponding to the optimal BF solution in the final simplex tableau. D 5.3-2. Consider the following problem. Maximize Z = 4x1 + 3x2 + x3 + 2x4, subject to 4x1 + 2x2 + x3 + x4 <5 3x1 + x2 + 2x3 + x4 <4
and X 20, x2 2 0, X3 2 0, X4 2 0. Let x5 and x6 denote the slack variables for the respective con- straints. After you apply the simplex method, a portion of the fi- nal simplex tableau is as follows: Coefficient of: Basic Right Side Variable Eq. X1 X2 X3 X4 X5 X6 (0) 1 1 1 (1) (2) X2 1 -1 X4 1 (a) Use the fundamental insight presented in Sec. 5.3 to identify the missing numbers in the final simplex tableau. Show your calculations. (b) Identify the defining equations of the CPF solution corre- sponding to the optimal BF solution in the final simplex tableau. D 5.3-2. Consider the following problem. Maximize Z = 4x1 + 3x2 + x3 + 2x4, subject to 4x1 + 2x2 + x3 + x4 <5 3x1 + x2 + 2x3 + x4 <4
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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Transcribed Image Text:and
X 20,
x2 2 0,
X3 2 0,
X4 2 0.
Let x5 and x6 denote the slack variables for the respective con-
straints. After you apply the simplex method, a portion of the fi-
nal simplex tableau is as follows:
Coefficient of:
Basic
Right
Side
Variable
Eq.
X1
X2
X3
X4
X5
X6
(0)
1
1
1
(1)
(2)
X2
1
-1
X4
1
(a) Use the fundamental insight presented in Sec. 5.3 to identify
the missing numbers in the final simplex tableau. Show your
calculations.
(b) Identify the defining equations of the CPF solution corre-
sponding to the optimal BF solution in the final simplex
tableau.
Transcribed Image Text:D 5.3-2. Consider the following problem.
Maximize
Z = 4x1 + 3x2 + x3 + 2x4,
subject to
4x1 + 2x2 + x3 + x4 <5
3x1 + x2 + 2x3 + x4 <4
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