a) Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X₁ = 20 (round your response to two decimal places). X₂= 20 (round your response to two decimal places). Optimal solution value Z = 40 (round your response to two decimal places). b) If a technical breakthrough occurred that raised the profit per unit of X₁ to $3, due to this change, the optimal solution changes As a result of the technical breakthrough, the optimum solution is: X₁ = 30 (round your response to two decimal places). X₂ = 0 (round your response to two decimal places). Optimal solution value Z= 90 (round your response to two decimal places). c) If the impact of technical breakthrough was incorrectly determined and instead of X, profit coefficient increasing to $3 it only increases to $1.25. As a result of this correction, the optimal solution found originally stays the same (...)
a) Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X₁ = 20 (round your response to two decimal places). X₂= 20 (round your response to two decimal places). Optimal solution value Z = 40 (round your response to two decimal places). b) If a technical breakthrough occurred that raised the profit per unit of X₁ to $3, due to this change, the optimal solution changes As a result of the technical breakthrough, the optimum solution is: X₁ = 30 (round your response to two decimal places). X₂ = 0 (round your response to two decimal places). Optimal solution value Z= 90 (round your response to two decimal places). c) If the impact of technical breakthrough was incorrectly determined and instead of X, profit coefficient increasing to $3 it only increases to $1.25. As a result of this correction, the optimal solution found originally stays the same (...)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
Can you plot the points on the graph please.
![Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm:
Z=1X₁ + 1x₂
Maximize
Subject to:
2X₁ + 1x₂ ≤60
1X₁ + 2X₂ ≤60
X₁, X₂20
(C₁)
(C₂)
On the graph on right, constraints C, and C₂ have been plotted.
a) Using the point drawing tool, plot all the corner points for the feasible area.
The optimum solution is:
X₁ = 20 (round your response to two decimal places).
X1
X₂= 20 (round your response to two decimal places).
Optimal solution value Z = 40 (round your response to two decimal places).
b) If a technical breakthrough occurred that raised the profit per unit of X₁ to $3, due to this change, the optimal
solution changes
As a result of the technical breakthrough, the optimum solution is:
X₁ = 30 (round your response to two decimal places).
X₂ = 0 (round your response to two decimal places).
Optimal solution value Z= 90 (round your response to two decimal places).
c) If the impact of technical breakthrough was incorrectly determined and instead of X, profit coefficient
increasing to $3 it only increases to $1.25. As a result of this correction, the optimal solution found originally
stays the same
120-
110-
100-
90-
80-
70-
60-
50-
40-
30-
20-
104
04
0
AG1
Isoprofit Line!
3
10 20 30 40 50 60 70 80 90 100 110 120
X1
Q
ROO
Q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a744944-d6d1-44b6-81cf-23b766613f36%2F9279f202-020c-4a82-a2cf-9419c93a74df%2F4xzsoveu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm:
Z=1X₁ + 1x₂
Maximize
Subject to:
2X₁ + 1x₂ ≤60
1X₁ + 2X₂ ≤60
X₁, X₂20
(C₁)
(C₂)
On the graph on right, constraints C, and C₂ have been plotted.
a) Using the point drawing tool, plot all the corner points for the feasible area.
The optimum solution is:
X₁ = 20 (round your response to two decimal places).
X1
X₂= 20 (round your response to two decimal places).
Optimal solution value Z = 40 (round your response to two decimal places).
b) If a technical breakthrough occurred that raised the profit per unit of X₁ to $3, due to this change, the optimal
solution changes
As a result of the technical breakthrough, the optimum solution is:
X₁ = 30 (round your response to two decimal places).
X₂ = 0 (round your response to two decimal places).
Optimal solution value Z= 90 (round your response to two decimal places).
c) If the impact of technical breakthrough was incorrectly determined and instead of X, profit coefficient
increasing to $3 it only increases to $1.25. As a result of this correction, the optimal solution found originally
stays the same
120-
110-
100-
90-
80-
70-
60-
50-
40-
30-
20-
104
04
0
AG1
Isoprofit Line!
3
10 20 30 40 50 60 70 80 90 100 110 120
X1
Q
ROO
Q
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