Maximize subject to (A) Using slack variables, determine the initial system for the linear programming problem. x₁ + x₂ +S₁ = 4 =4 P=4x₁ + 16x₂ 2x₁ + x₂ 54 X₁ + 6x₂ ≤4 X₁, X₂ 20 X₁ + 6x₂ + - 4x₁ + X₁, X2, S₁, S₂ 20 (B) Write the simplex tableau by filling in the blanks below. 2 1 0 1 6 - 16 x₂ + P=0 1 0 0 0 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Maximize
subject to
(A) Using slack variables, determine the initial system for the linear programming problem.
x₁ + x₂ + S₁ = 4
= 4
2
1
X₁ + 6x2 +
- 4x₁ +
X₁, X2, S₁, S₂ 20
(B) Write the simplex tableau by filling in the blanks below.
x₂ + P=0
1
6
- 16
1
0
0 0
0
P = 4x₁ + 16x2
2x₁ + x₂ ≤4
x₁ + 6x₂ ≤4
X1, X₂ 20
0
0
1
4
0
Transcribed Image Text:Maximize subject to (A) Using slack variables, determine the initial system for the linear programming problem. x₁ + x₂ + S₁ = 4 = 4 2 1 X₁ + 6x2 + - 4x₁ + X₁, X2, S₁, S₂ 20 (B) Write the simplex tableau by filling in the blanks below. x₂ + P=0 1 6 - 16 1 0 0 0 0 P = 4x₁ + 16x2 2x₁ + x₂ ≤4 x₁ + 6x₂ ≤4 X1, X₂ 20 0 0 1 4 0
Expert Solution
Step 1

In the simplex table, CB is used to denote the coefficient of the basic variable B and RHS denotes

the value on the right hand side of the constraint.

We have to use the slack variables to write the initial system of the linear programming problem

which is also called the canonical form of the linear programming problem.

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