Linear programming:Primal and Dual problem
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(a)
Following is the Primal problem:
Primal Problem:
Maximize Total profit Z=120x1+40x2+60x3
S.t
x1+x2+x3<=100(No of acres)
$400x1+$160x2+$280x3<=$20000(cost per acres)
Example is attached.
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Solution Summary
The expert examines linear programming for primal and dual problems. This posting contains solutions to following LPP problem.
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Hi
Please find attached the solution to your problem.
(a)
Following is the Primal problem:
Primal Problem:
Maximize Total profit Z=120x1+40x2+60x3
S.t
x1+x2+x3<=100(No of acres)
$400x1+$160x2+$280x3<=$20000(cost per acres)
Dual problem:
1. The maximize objective function becomes minimize in dual problem:
2. No of decision variables=No of constraints. Thus, there would be 2 dual variables:y1 and y2.
3. Constraint change from <= to >=.
4. The RHS of constraints become the objective function co-efficient in dual problem.
5. The Objective function coefficients become the RHS of ...
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