(A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. (C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. (D) Find the optimal solution of the original problem, if it exists. (A) Introduce slack, surplus, and artificial variables and form the modified problem. Maximize P=9x₁ +7x2-Ma₁ subject to X₁ + X₂ S₁ + a₁ =2 -X₁+3x₂+ S₂ = 20 X₁, X2, S1, S2, a₁ 20 (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. X₁ X2 $₁ a₁ $₂ P 1 $₂ 3 20 1 -1 Maximize subject to P=9x₁ +7: X₁ + X₂= -X₁ + 3x₂5 X₁, X₂2
(A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. (C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. (D) Find the optimal solution of the original problem, if it exists. (A) Introduce slack, surplus, and artificial variables and form the modified problem. Maximize P=9x₁ +7x2-Ma₁ subject to X₁ + X₂ S₁ + a₁ =2 -X₁+3x₂+ S₂ = 20 X₁, X2, S1, S2, a₁ 20 (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. X₁ X2 $₁ a₁ $₂ P 1 $₂ 3 20 1 -1 Maximize subject to P=9x₁ +7: X₁ + X₂= -X₁ + 3x₂5 X₁, X₂2
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:(A) Introduce slack, surplus, and artificial variables and form the modified problem.
(B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau.
(C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau.
(D) Find the optimal solution of the original problem, if it exists.
C
(A) Introduce slack, surplus, and artificial variables and form the modified problem.
P=9x₁ + 7x₂ - Ma₁
Maximize
subject to
X₁ + X₂ S₁ + a₁ = 2
-X₁ + 3x₂ + S₂ = 20
X₁, X2, S1, S₂, a₁ 20
(B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau.
X₁
X2
S₁ a₁
S₂
1
1
2
20
-1
3
¹00
Maximize
subject to
P=9x₁ + 7x₂
x₁ + x₂ 22
-X₁ + 3x₂ ≤20
x₁, x₂ 20
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