Consider the following mathematical model: Max Z = 5x +y subject to 4x + 5y ...
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Consider the following mathematical model: Max Z = 5x +y subject to 4x + 5y ≤ 20 x-2y2-2 x₁ ≥ 0,x₂ ≥0 a. Find the optimal solution using graphical method. (15 marks) b. Report the screenshot of the sensitivity report of this model in Excel. (4 marks) c. Does the optimal solution change if we change the objective function coefficient of "y" to 6? Why? (You should answer this question based on the sensitivity report obtained in part (b) and without solving the model with new objective coefficient for y) (3 marks) d. Can we determine the optimal objective function value when we change the RHS of "Constraint 1" and "Constraint 2" to 30 and -5 respectively? Why? If yes, what is the optimal objective function value after this change? (You should answer this question based on the sensitivity report obtained in part (b) and without solving the model with new RHS values.) (3 marks) Consider the following mathematical model: Max Z = 5x +y subject to 4x + 5y ≤ 20 x-2y2-2 x₁ ≥ 0,x₂ ≥0 a. Find the optimal solution using graphical method. (15 marks) b. Report the screenshot of the sensitivity report of this model in Excel. (4 marks) c. Does the optimal solution change if we change the objective function coefficient of "y" to 6? Why? (You should answer this question based on the sensitivity report obtained in part (b) and without solving the model with new objective coefficient for y) (3 marks) d. Can we determine the optimal objective function value when we change the RHS of "Constraint 1" and "Constraint 2" to 30 and -5 respectively? Why? If yes, what is the optimal objective function value after this change? (You should answer this question based on the sensitivity report obtained in part (b) and without solving the model with new RHS values.) (3 marks)
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Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
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