Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Maximize Z= 1X₁ + 1X₂ Subject to: 2X,+ 1X₂ 572 1X₁ + 2x₂ 572 X₁ X₂ 20 (C₁) (C₂) Use computer software to solve the LP model The optimum solution is: X₁ = (round your response to two decimal places) (round your response to two decimal places) Optimal solution value Z = b) If a technical breakthrough change, the optimal solution (round your response to two decimal places) occurred that raised the profit per unit of X, to $3, due to this (Use sensitivity table to answer this question.) e) If the impact of technical breakthrough was incorrectly determined and instead of X, profit coefficient increasing to $3 it only increases to $1.10. As a result of this correction, the optimal solution found originally (Use sensitivity table to answer this question) 120- 110- 100 10 80 to kids 200 50 30- 25 16 0 20 Isoprofe Line 30 40 50 60 70 80 90 100 110 120 X1 Q 760 G
Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Maximize Z= 1X₁ + 1X₂ Subject to: 2X,+ 1X₂ 572 1X₁ + 2x₂ 572 X₁ X₂ 20 (C₁) (C₂) Use computer software to solve the LP model The optimum solution is: X₁ = (round your response to two decimal places) (round your response to two decimal places) Optimal solution value Z = b) If a technical breakthrough change, the optimal solution (round your response to two decimal places) occurred that raised the profit per unit of X, to $3, due to this (Use sensitivity table to answer this question.) e) If the impact of technical breakthrough was incorrectly determined and instead of X, profit coefficient increasing to $3 it only increases to $1.10. As a result of this correction, the optimal solution found originally (Use sensitivity table to answer this question) 120- 110- 100 10 80 to kids 200 50 30- 25 16 0 20 Isoprofe Line 30 40 50 60 70 80 90 100 110 120 X1 Q 760 G
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 problem developed at Zafar Malik's Carbondale, Illinois, optical
scanning firm:
Maximize
Subject to:
Z= 1X₁ + 1X₂
2x, +1X, 572
1X₁ + 2X₂ ≤72
X₁Xx₂ 20
(C₁)
(C₂)
Use computer software to solve the LP model
The optimum solution is:
X₁ =
(round your response to two decimal places)
(round your response to two decimal places)
Optimal solution value Z =
b) If a technical breakthrough
change, the optimal solution
(round your response to two decimal places)
occurred that raised the profit per unit of X, to $3, due to this
(Use sensitivity table to answer this question.)
e) If the impact of technical breakthrough was incorrectly determined and instead of X, profit
coefficient increasing to $3 it only increases to $1.10. As a result of this correction, the optimal
solution found originally
(Use sensitivity table to answer this question)
120-
110
100
10
80
rokids
20
50
304
20
16
0
soprofe Line
20 30 40 50 60 70 80 90 100 110 120
X1
860
G
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