Question 1

The dual value on the nonnegativitiy constraint for a variable is that variable's

Accepted Answer

A)   sunk cost.
B)   surplus value.
C)   reduced cost.
D)   relevant cost.

Question 2

The reduced cost for a positive decision variable is 0.

Accepted Answer

A) True 
 B)False

Question 3

Classical sensitivity analysis provides no information about changes resulting from a change in the coefficient of a variable in a constraint.

Accepted Answer

A) True 
 B)False

Question 4

A negative dual price for a constraint in a minimization problem means

Accepted Answer

A)   as the right-hand side increases, the objective function value will increase.
B)   as the right-hand side decreases, the objective function value will increase.
C)   as the right-hand side increases, the objective function value will decrease.
D)   as the right-hand side decreases, the objective function value will decrease.

Question 5

If the dual price for the right-hand side of a $\le$ constraint is zero, there is no upper limit on its range of feasibility.

Accepted Answer

A) True 
 B)False

Question 6

If the range of feasibility for b1 is between 16 and 37, then if b1 = 22 the optimal solution will not change from the original optimal solution.

Accepted Answer

A) True 
 B)False

Question 7

Eight of the entries have been deleted from the LINDO output that follows. Use what you know about linear programming to find values for the blanks.
MIN 6 X1 + 7.5 X2 + 10 X3
SUBJECT TO
  END
LP OPTIMUM FOUND AT STEP 2
OBJECTIVE FUNCTION VALUE
1) 612.50000
   NO. ITERATIONS= 2
RANGES IN WHICH THE BASIS IS UNCHANGED:

Accepted Answer

It is easiest to calculate the values in...

Question 8

If the range of feasibility indicates that the original amount of a resource, which was 20, can increase by 5, then the amount of the resource can increase to 25.

Accepted Answer

A) True 
 B)False

Question 9

The 100% Rule compares

Accepted Answer

A)   proposed changes to allowed changes.
B)   new values to original values.
C)   objective function changes to right-hand side changes.
D)   dual prices to reduced costs. A

Question 10

Relevant costs should be reflected in the objective function, but sunk costs should not.

Accepted Answer

A) True 
 B)False  True

Question 11

Which of the following is not a question answered by sensitivity analysis?

Accepted Answer

A)   If the right-hand side value of a constraint changes, will the objective function value change?
B)   Over what range can a constraint's right-hand side value without the constraint's dual price possibly changing?
C)   By how much will the objective function value change if the right-hand side value of a constraint changes beyond the range of feasibility?
D)   By how much will the objective function value change if a decision variable's coefficient in the objective function changes within the range of optimality?

Question 12

When the cost of a resource is sunk, then the dual price can be interpreted as the

Accepted Answer

A)   minimum amount the firm should be willing to pay for one additional unit of the resource.
B)   maximum amount the firm should be willing to pay for one additional unit of the resource.
C)   minimum amount the firm should be willing to pay for multiple additional units of the resource.
D)   maximum amount the firm should be willing to pay for multiple additional units of the resource. B

Question 13

The range of feasibility measures

Accepted Answer

A)   the right-hand-side values for which the objective function value will not change.
B)   the right-hand-side values for which the values of the decision variables will not change.
C)   the right-hand-side values for which the dual prices will not change.
D)   each of these choices are true.

Question 14

If the optimal value of a decision variable is zero and its reduced cost is zero, this indicates that alternative optimal solutions exist.

Accepted Answer

A) True 
 B)False

Question 15

A section of output from The Management Scientist is shown here.  What will happen if the right-hand-side for constraint 2 increases by 200?

Accepted Answer

A)   Nothing. The values of the decision variables, the dual prices, and the objective function will all remain the same.
B)   The value of the objective function will change, but the values of the decision variables and the dual prices will remain the same.
C)   The same decision variables will be positive, but their values, the objective function value, and the dual prices will change.
D)   The problem will need to be resolved to find the new optimal solution and dual price.

Question 16

The dual price measures, per unit increase in the right hand side of the constraint,

Accepted Answer

A)   the increase in the value of the optimal solution.
B)   the decrease in the value of the optimal solution.
C)   the improvement in the value of the optimal solution.
D)   the change in the value of the optimal solution.

Question 17

A section of output from The Management Scientist is shown here.  What will happen to the solution if the objective function coefficient for variable 1 decreases by 20?

Accepted Answer

A)   Nothing. The values of the decision variables, the dual prices, and the objective function will all remain the same.
B)   The value of the objective function will change, but the values of the decision variables and the dual prices will remain the same.
C)   The same decision variables will be positive, but their values, the objective function value, and the dual prices will change.
D)   The problem will need to be resolved to find the new optimal solution and dual price.

Question 18

To solve a linear programming problem with thousands of variables and constraints

Accepted Answer

A)   a personal computer can be used.
B)   a mainframe computer is required.
C)   the problem must be partitioned into subparts.
D)   unique software would need to be developed.

Question 19

The amount by which an objective function coefficient can change before a different set of values for the decision variables becomes optimal is the

Accepted Answer

A)   optimal solution.
B)   dual solution.
C)   range of optimality.
D)   range of feasibility.

Question 20

Decreasing the objective function coefficient of a variable to its lower limit will create a revised problem that is unbounded.

Accepted Answer

A) True 
 B)False

Exam 3: Linear Programming: Sensitivity Analysis and Interpretation of Solution

The dual value on the nonnegativitiy constraint for a variable is that variable's

Correct Answer
verified

The reduced cost for a positive decision variable is 0.

Correct Answer
verified

Classical sensitivity analysis provides no information about changes resulting from a change in the coefficient of a variable in a constraint.

Correct Answer
verified

A negative dual price for a constraint in a minimization problem means

Correct Answer
verified

If the dual price for the right-hand side of a $\le$ constraint is zero, there is no upper limit on its range of feasibility.

Correct Answer
verified

If the range of feasibility for b₁ is between 16 and 37, then if b₁ = 22 the optimal solution will not change from the original optimal solution.

Correct Answer
verified

Correct Answer
verified
It is easiest to calculate the values in...
View Answer

If the range of feasibility indicates that the original amount of a resource, which was 20, can increase by 5, then the amount of the resource can increase to 25.

Correct Answer
verified

The 100% Rule compares

Correct Answer
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A

Relevant costs should be reflected in the objective function, but sunk costs should not.

Correct Answer
verified
True

Which of the following is not a question answered by sensitivity analysis?

Correct Answer
verified

When the cost of a resource is sunk, then the dual price can be interpreted as the

Correct Answer
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B

The range of feasibility measures

Correct Answer
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If the optimal value of a decision variable is zero and its reduced cost is zero, this indicates that alternative optimal solutions exist.

Correct Answer
verified

A section of output from The Management Scientist is shown here. What will happen if the right-hand-side for constraint 2 increases by 200?

Correct Answer
verified

The dual price measures, per unit increase in the right hand side of the constraint,

Correct Answer
verified

A section of output from The Management Scientist is shown here. What will happen to the solution if the objective function coefficient for variable 1 decreases by 20?

Correct Answer
verified

To solve a linear programming problem with thousands of variables and constraints

Correct Answer
verified

The amount by which an objective function coefficient can change before a different set of values for the decision variables becomes optimal is the

Correct Answer
verified

Decreasing the objective function coefficient of a variable to its lower limit will create a revised problem that is unbounded.

Correct Answer
verified

Exam 3: Linear Programming: Sensitivity Analysis and Interpretation of Solution

The dual value on the nonnegativitiy constraint for a variable is that variable's

Correct AnswerverifiedShow Answer

The reduced cost for a positive decision variable is 0.

Correct AnswerverifiedShow Answer

Classical sensitivity analysis provides no information about changes resulting from a change in the coefficient of a variable in a constraint.

Correct AnswerverifiedShow Answer

A negative dual price for a constraint in a minimization problem means

Correct AnswerverifiedShow Answer

If the dual price for the right-hand side of a ≤\le≤ constraint is zero, there is no upper limit on its range of feasibility.

Correct AnswerverifiedShow Answer

If the range of feasibility for b1 is between 16 and 37, then if b1 = 22 the optimal solution will not change from the original optimal solution.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedIt is easiest to calculate the values in...View AnswerShow Answer

If the range of feasibility indicates that the original amount of a resource, which was 20, can increase by 5, then the amount of the resource can increase to 25.

Correct AnswerverifiedShow Answer

The 100% Rule compares

Correct AnswerverifiedA

Relevant costs should be reflected in the objective function, but sunk costs should not.

Correct AnswerverifiedTrue

Which of the following is not a question answered by sensitivity analysis?

Correct AnswerverifiedShow Answer

When the cost of a resource is sunk, then the dual price can be interpreted as the

Correct AnswerverifiedB

The range of feasibility measures

Correct AnswerverifiedShow Answer

If the optimal value of a decision variable is zero and its reduced cost is zero, this indicates that alternative optimal solutions exist.

Correct AnswerverifiedShow Answer

A section of output from The Management Scientist is shown here. What will happen if the right-hand-side for constraint 2 increases by 200?

Correct AnswerverifiedShow Answer

The dual price measures, per unit increase in the right hand side of the constraint,

Correct AnswerverifiedShow Answer

A section of output from The Management Scientist is shown here. What will happen to the solution if the objective function coefficient for variable 1 decreases by 20?

Correct AnswerverifiedShow Answer

To solve a linear programming problem with thousands of variables and constraints

Correct AnswerverifiedShow Answer

The amount by which an objective function coefficient can change before a different set of values for the decision variables becomes optimal is the

Correct AnswerverifiedShow Answer

Decreasing the objective function coefficient of a variable to its lower limit will create a revised problem that is unbounded.

Correct AnswerverifiedShow Answer

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If the dual price for the right-hand side of a $\le$ constraint is zero, there is no upper limit on its range of feasibility.

Correct Answer
verified

If the range of feasibility for b₁ is between 16 and 37, then if b₁ = 22 the optimal solution will not change from the original optimal solution.

Correct Answer
verified

Correct Answer
verified
It is easiest to calculate the values in...
View Answer

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A

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True

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B

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