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) 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). If a technical breakthrough occurred that raised the profit per unit of X₁ to $3, due to this change, the optimal solution

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 51P
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example 5b.

If a technical breakthrough occurred that raised the profit per unit of X1 to $3​, due to this​ change, the optimal solution ??

Changes? or stays the same?

 

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 X₂ 20
(C₁)
(C₂)
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).
If a technical breakthrough occurred that raised the profit per unit of X₁ to $3, due to this change, the optimal solution
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 X₂ 20 (C₁) (C₂) 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). If a technical breakthrough occurred that raised the profit per unit of X₁ to $3, due to this change, the optimal solution
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