Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider the following LP model, and an iteration of it's simplex tableau.
Max Z = 5x₁ + 2x₂ + 3x,
s.t.
x + 5x₂ + 2x, sb,
1
x₁ - 5x₂ - 6x ≤b₂
x₁,x₂x, 20
Basic Variables
Z
X₁
S₂
X₁ X₂
0
1
0
a
b
C
X 3
7
2
-8
a. What are the values of b₁ & b₂?
b. What are the values of b & c?
c. What are the values of a, d & e?
d. Is this solution optimal? Why?
S₁ S₂
d
1
- 1
e
0
1
Solution
150
30
10
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Transcribed Image Text:Consider the following LP model, and an iteration of it's simplex tableau. Max Z = 5x₁ + 2x₂ + 3x, s.t. x + 5x₂ + 2x, sb, 1 x₁ - 5x₂ - 6x ≤b₂ x₁,x₂x, 20 Basic Variables Z X₁ S₂ X₁ X₂ 0 1 0 a b C X 3 7 2 -8 a. What are the values of b₁ & b₂? b. What are the values of b & c? c. What are the values of a, d & e? d. Is this solution optimal? Why? S₁ S₂ d 1 - 1 e 0 1 Solution 150 30 10
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