Length : around 5 minutes
Quiz-summary
0 of 5 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
Information
The six questions below will allow you to check whether you have understood what dual values are. One or several answers are possible.
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Results
0 of 5 questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 points, (0)
Categories
- Not categorized 0%
-
In order to view the corrections click on “view questions”.
- 1
- 2
- 3
- 4
- 5
- Answered
- Review
-
Question 1 of 5
1. Question
What is a dual value ? (2 answers)
Correct
Dual values are the marginal values associated to each resource constraint.
These values highlight the effect of an additional unit of the considered resource on the objective function.
The dual value determines the price at which the resource is estimated, it is known as “shadow price” or opportunity cost (the price at which the resource is more likely to be sold than used).Incorrect
Dual values are the marginal values associated to each resource constraint.
These values highlight the effect of an additional unit of the considered resource on the objective function.
The dual value determines the price at which the resource is estimated, it is known as “shadow price” or opportunity cost (the price at which the resource is more likely to be sold than used). -
Question 2 of 5
2. Question
If the primal programme offers “profit maximization under resource availability constraints”, what does the dual programme offer ? (2 answers)
Correct
The dual model makes it possible to assess the contribution of each resource to the observed profit. It assigns an economic value to resources.
If the primal is a problem of maximization of an income under resource availability constraints and it helps determine the quantities/areas of each activity, then the dual is a problem of minimization of the total cost of resources under the constraints of their contribution to production incomes. And it helps determine the implicit prices of each resource.Incorrect
The dual model makes it possible to assess the contribution of each resource to the observed profit. It assigns an economic value to resources.
If the primal is a problem of maximization of an income under resource availability constraints and it helps determine the quantities/areas of each activity, then the dual is a problem of minimization of the total cost of resources under the constraints of their contribution to production incomes. And it helps determine the implicit prices of each resource. -
Question 3 of 5
3. Question
There is a dual programme for :
Correct
Every linear programming “primal” problem is associated with a dual problem. The GAMS software programme simultaneously solves the primal problem and the dual problem and displays the corresponding dual value (marginal value) for every resource.
Incorrect
Every linear programming “primal” problem is associated with a dual problem. The GAMS software programme simultaneously solves the primal problem and the dual problem and displays the corresponding dual value (marginal value) for every resource.
-
Question 4 of 5
4. Question
What does the dual value of a constraint measure ?
Correct
The dual value measures the impact of a small variation in the availability of one of the factors on the objective function.
This value highlights the effect of an additional unit of the considered resource on the objective function.Incorrect
The dual value measures the impact of a small variation in the availability of one of the factors on the objective function.
This value highlights the effect of an additional unit of the considered resource on the objective function. -
Question 5 of 5
5. Question
What is the dual value of a non-binding constraint ?
Correct
The dual values of non-binding constraints are equal to zero. Indeed, a value is non-binding when it is not entirely used, when the limit of the constraint has not been reached. The dual value measures the effect of an additional unit of the considered resource on the objective function.
Therefore if the availability of the resource increases by an additional unit, this will not affect the objective function for the additional unit will not be used.Incorrect
The dual values of non-binding constraints are equal to zero. Indeed, a value is non-binding when it is not entirely used, when the limit of the constraint has not been reached. The dual value measures the effect of an additional unit of the considered resource on the objective function.
Therefore if the availability of the resource increases by an additional unit, this will not affect the objective function for the additional unit will not be used.
