a. What's the impact of increasing an additional unit of resource 1 and 2 to the objective function. b. If the range of coefficient in the objective function change to: Max Z = (20-t)x, + (8 +t)x₂ What is the range of t, that the current optimal solution remains the same.
a. What's the impact of increasing an additional unit of resource 1 and 2 to the objective function. b. If the range of coefficient in the objective function change to: Max Z = (20-t)x, + (8 +t)x₂ What is the range of t, that the current optimal solution remains the same.
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:Consider the following LP model and it's optimal simplex tableau:
Max Z=20x, +8x₂
s.t.
5x, +4x₂ ≤20
2x, +5x₂ ≤11
x₁, x₂ 20
Basic Variables
Z
X₁
S₂
X₁
0
1
0
X₂
8
4/5
17/5
S₁
4
5
-²5
S₂
0
0
1
Solution
80
4
3
a. What's the impact of increasing an additional unit of resource 1 and 2 to the objective
function.
b. If the range of coefficient in the objective function change to:
Max Z = (20-t)x, + (8 +1)x₂
What is the range of t, that the current optimal solution remains the same.
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