What is primal and dual in linear programming

R is a column vector of the amounts of resources available and a is matrix which gives the resources use per unit of outputs.The dual program of a linear program is a linear program!X 1 is associated with the first dual constraint (i a i1 c 1 i ¦ u t), x 2 is associated with the second dual constraint (i a i2 c 2 i ¦ u t), etc.Since any lp can be written in the standard form above, any lp has a dual.This lecture covers weak and strong duality, and also explains the rules for finding the dual of a linear program, with an example.An example aids in explaining the dual.

The primal and dual linear programming problems:The linear objective function and the linear constraints of primal and dual programs of the linear programming problem are related in a specific way.It is the relationship between the primal and its dual, both on a mathematical and economic level, that is truly the essence of.The primal and the dual are not just two linear programming problems formed using the same data.Why is duality used in linear.Between the primal variables and the dual constraints;

Relations between primal and dual if the primal problem is maximize ctx subject to ax = b, x ‚ 0 then the dual is minimize bty subject to aty ‚ c (and y unrestricted) easy fact: