Consider the following LP problem developed at Zafar​ Malik's Carbondale,​ Illinois, optical scanning​ firm:   Maximize   Z= 1X1+1X2   Subject​ to:     2X1+1X2≤72 ​(C1​)       1X1+2X2≤72 ​(C2​)       X1​,X2≥0

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.3: The Exponential Distribution
Problem 3P
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Consider the following LP problem developed at Zafar​ Malik's Carbondale,​ Illinois, optical scanning​ firm:
 
Maximize
 
Z=
1X1+1X2
 
Subject​ to:
 
 
2X1+1X2≤72
​(C1​)
 
 
 
1X1+2X2≤72
​(C2​)
 
 
 
X1​,X2≥0
 
 
The optimum solution is:
X₁ =
(round your response to two decimal places).
(round your response to two decimal places).
X₂ =
Optimal solution value Z = (round your response to two decimal places).
The optimum solution is:
X₁ =
X₂=
Optimal solution value Z =
(round your response to two decimal places).
(round your response to two decimal places).
53
(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
As a result of the technical breakthrough, the optimum solution is:
X₁ =
(round your response to two decimal places).
(round your response to two decimal places).
X₂ =
Optimal solution value Z =
(round your response to two decimal places).
Transcribed Image Text:The optimum solution is: X₁ = (round your response to two decimal places). (round your response to two decimal places). X₂ = Optimal solution value Z = (round your response to two decimal places). The optimum solution is: X₁ = X₂= Optimal solution value Z = (round your response to two decimal places). (round your response to two decimal places). 53 (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 As a result of the technical breakthrough, the optimum solution is: X₁ = (round your response to two decimal places). (round your response to two decimal places). X₂ = Optimal solution value Z = (round your response to two decimal places).
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