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Duality of linear programming problems (4 variables)
Given a linear programming problem in standard form, write down the dual problem.
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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From users who are not members of Content created by Newcastle University :
| Paula Ruiz-Hincapie | said | Doesn't work | 4 years, 5 months ago |
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Paula Ruiz-Hincapie 4 years, 5 months ago
Gave some feedback: Doesn't work
Newcastle University Mathematics and Statistics 9 years, 2 months ago
Created this.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Duality of linear programming problems (4 variables) | Doesn't work | Newcastle University Mathematics and Statistics | 16/11/2020 10:02 | |
| Denis's copy of Duality of linear programming problems (4 variables) | draft | Denis Flynn | 16/11/2020 10:02 |
There are 2 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| maximise | boolean |
true
|
||||
| num_variables | integer |
4
|
||||
| num_constraints | integer |
3
|
||||
| objective_coefficients | list |
[ 6, 2, 3, 5 ]
|
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| constraint_coefficients | matrix |
Matrix of size 3×4
|
||||
| constraint_rhs | list |
[ 16, 13, 2 ]
|
||||
| inequality | string |
\leq
|
| Name | Type | Generated Value |
|---|
| dual_variables | integer |
3
|
||||
| dual_constraints | integer |
4
|
||||
| dual_objective_coefficients | list |
[ 16, 13, 2 ]
|
||||
| dual_constraint_coefficients | matrix |
Matrix of size 4×3
|
||||
| dual_constraint_rhs | list |
[ 6, 2, 3, 5 ]
|
||||
| dual_constraints_matrix | matrix |
Matrix of size 4×4
|
||||
| dual_inequality | string |
\geq
|
| Name | Type | Generated Value |
|---|
Generated value: boolean
- dual_inequality
- inequality
- Statement
- Advice
- "Unnamed part" → "Gap 0." - Custom matrix expression
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
Write the dual of the given LP problem below. Name your variables y1, y2, ...
(Use the "rows" and "columns" boxes to change the number of constraints or variables)
$w = $
subject to
$y_i \geq 0$ for all $i$.
Use this tab to check that this question works as expected.
There was an error which means the tests can't run:
Numbas Error: Part a gap 2: Error in part Part a gap 2 custom script Part a gap 2: Cannot set properties of undefined (setting 'correctAnswerLaTeX')
| Part | Test | Passed? |
|---|---|---|
| Gap-fill | ||
| Hasn't run yet | ||
| Choose one from a list | ||
| Hasn't run yet | ||
| Mathematical expression | ||
| Hasn't run yet | ||
| Matrix entry | ||
| Hasn't run yet |
This question is used in the following exam: