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Hello guys in this video of DUALITY PROBLEM I have explained you :
1) The concept of duality in very easy and simple way by taking one problem as an example to increase understanding.
2)Convert primal LP problem into its dual with an example.
1. What is Dual problem of Linear Programming Problem
2. What is Duality?
3.How to convert primal into dual problem.?
NOTE :- In this question while Changing minimization objective function to maximization objective function, I forgot to change the sign of term 5x3.so mention it here.
( max z' = -3x2 - 5x3) "
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What is Duality ?
The other problem associated with original LPP is called DUAL of LPP , while original problem is called its PRIMAL of LPP.
How to convert primal to Dual :
If the system of constraints in a given LPP consists of a mixture of inequalities, non negative variables, or unrestricted variables then the dual of the given problem can be obtained by reducing it to standard primal form by adopting the following algorithm:
1)First convert objective function to maximization form, if not.
2)If the constraint has an inequality sign greater than equal to , then multiply by both sides by -1 and make inequality sign less than equal to.
3)If a constraint of equality sign then it is replaced by two opposite sign inequalities.
4)Every unrestricted variable is replaced by the difference of two non negative variable.
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