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Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Z= 1X₁ + 1X₂ Maximize Subject to: 2X₁ + 1x₂ ≤ 100 1X₁ + 2X₂ ≤ 100 X₁, X₂ 20 solve the LP model. Use computer software to The optimum solution is: x₁ = 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 (1). (Use sensitivity table to answer this question.) 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 (Use sensitivity table to answer this question.) (2). (C₁) (C₂) (round your response to two decimal places). (round your response to two decimal places). (1) O stays the same (2) O changes changes 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 ≤ 100 1X₁ + 2X₂ ≤ 100 X₁, X₂ 20 solve the LP model. Use computer software to The optimum solution is: x₁ = 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 (1). (Use sensitivity table to answer this question.) 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 (Use sensitivity table to answer this question.) (2). (C₁) (C₂) (round your response to two decimal places). (round your response to two decimal places). (1) O stays the same (2) O changes changes stays the same

Practical Management Science
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...
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Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Z = 1X₁ + 1X₂ Maximize Subject to: 2X₁ + 1X₂ ≤ 100 1X₁ + 2X₂ ≤ 100 X₁, X₂ ≥0 Use computer software to solve the LP model. The optimum solution is: X₁ = stays the same changes (C₁) (C₂) (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 (1) (Use sensitivity table to answer this question.) 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 (Use sensitivity table to answer this question.) (2) changes stays the same 120- 110- 100- 90- 80- 70- 60- 50- 40- 30- 20- 10- C1 Isoprofit Line C₂ 0- 0 10 20 30 40 50 60 70 80 90 100 110 120 +8x X1
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 ≤ 100 1X₁ + 2X₂ ≤ 100 X₁, X₂ ≥0 Use computer software to solve the LP model. The optimum solution is: X₁ = stays the same changes (C₁) (C₂) (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 (1) (Use sensitivity table to answer this question.) 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 (Use sensitivity table to answer this question.) (2) changes stays the same 120- 110- 100- 90- 80- 70- 60- 50- 40- 30- 20- 10- C1 Isoprofit Line C₂ 0- 0 10 20 30 40 50 60 70 80 90 100 110 120 +8x X1
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