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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 ≤ 100 (C₁) 1X₁ + 2X₂ ≤ 100 (C₂) X₁, X₂20 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 = (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). 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=

Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Maximize Z = 1X₁ + 1x₂ Subject to: 2X₁ + 1X₂ ≤ 100 (C₁) 1X₁ + 2X₂ ≤ 100 (C₂) X₁, X₂20 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 = (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). 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=

Advanced Engineering Mathematics
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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Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Maximize Z = 1X₁ + 1X₂ Subject to: 2X₁ + 1X₂ ≤ 100 (C₁) 1X₁ + 2X₂ ≤ 100 (C₂) X₁, X₂20 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 = (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). 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 =1 Optimal solution value Z = (round your response to two decimal places). c) If the impact of technical breakthrough was incorrectly determined and instead of X₁ profit coefficient increasing to $3 it only increases to $1.25. As a result of this correction, the optimal solution found originally
Transcribed Image Text:Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Maximize Z = 1X₁ + 1X₂ Subject to: 2X₁ + 1X₂ ≤ 100 (C₁) 1X₁ + 2X₂ ≤ 100 (C₂) X₁, X₂20 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 = (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). 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 =1 Optimal solution value Z = (round your response to two decimal places). c) If the impact of technical breakthrough was incorrectly determined and instead of X₁ profit coefficient increasing to $3 it only increases to $1.25. As a result of this correction, the optimal solution found originally
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