Consider the following linear programming problem Minimize Z=5X1+6X2+3X3Subject to 5x1+5x2+3x3>=50x1+x2-x3=207X1+6X2-9X3>=305x1+5x2+5x3>=352x1+4x2-15x3>=1012x1+10x2>=90x2-10x3>=20X1, X2, X3 >=0In an Excel workbook, solve the problem by using the Solver. Generate the Solver sensitivity and answer reports.In this Word document, write the mathematical formulation of the dual problem. Generate a sensitivity report of the dual problem.Solve the dual problem in another sheet of the same Excel file.In this Word document, describe whether the solution of the dual problem offers a computational advantage and explain why. Submit the Excel workbook as a separate attachment.

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Answered: Consider the following linear…

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 linear programming problem

Minimize Z=5X₁+6X₂+3X₃

Subject to

5x₁+5x₂+3x₃>=50

x₁+x₂-x₃=20

7X₁+6X₂-9X₃>=30

5x₁+5x₂+5x₃>=35

2x₁+4x_2-15x₃>=10

12x₁+10x₂>=90

x_2-10x₃>=20

X₁, X₂, X₃ >=0

In an Excel workbook, solve the problem by using the Solver. Generate the Solver sensitivity and answer reports.
In this Word document, write the mathematical formulation of the dual problem. Generate a sensitivity report of the dual problem.
Solve the dual problem in another sheet of the same Excel file.
In this Word document, describe whether the solution of the dual problem offers a computational advantage and explain why. Submit the Excel workbook as a separate attachment.

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