Question 11 The results of sensitivity analysis establish ranges for the decisio

Question

Question 11

The results of sensitivity analysis establish ranges for the decision variables within which the current solution remains optimal

1.

true

2.

false

Question 12

It is possible, after a change in an objective function coefficient, to have an optimal solution with the same value for the decision variables but a different value for the objective function

1.

true

2.

false

Question 13

Right hand side sensitivity reveals provides details in the limitation of variable values that will cause changes in the RHS

1.

true

2.

false

Question 14

It has been determined that the optimal solution of a linear programming problem occurs at the intersection of the constraint lines 5x1 + 3x2 = 300 and 4x1 + 9x2 = 600. What can be said about the objective function with regards to sensitivity analysis

1.

The constraints are maximized

2.

Its optimal value cannot exceed 600

3.

The slope is between -5/3 and -4/9

4.

The problem is infeasible

1.

true

2.

false

Explanation / Answer

11. Sensitivity analysis is basically used to see how any kind of changes affects the optimal solution.

Answer: True

12. Yes it has been observed for few cases that after a change in an objective function coefficient, to have an optimal solution with the same value for the decision variables but a different value for the objective function.

Answer: True

13. The right hand side (RHS) of a sensitivity analysis gives a range of values over which the value of the principle quantity can change, without impacting the other variables in question.

Answer: False

14. The optimal value of the given objective function can’t exceed 600

Answer: Option 2

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