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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 15E
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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: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
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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