Question

A minimization problem has 9 variables and 4 problem constraints. How many variables and problem constraints are in the dual problem? a. There are variables in the dual problem. b. There are problem constraints in the dual problem.

Answer 1

# A minimization problemes has 9 variables and 4 problem constraints. How many variables and problem constraints are in the dual problem? solution- Note: 1 In Linear programming problemCL.P.P-2 is primal have variables and . 'o' constraints then gts dual have constraints and variables. n m like this Example prinal: Min Zre = 282 +503 so to x + 2₂3,2 2x, +2 +672 56 ;*,&2, Xz 30

Dual : Max Zw = 2 wi-662 so to ہکلا 2 -- لا W, -Wz (2 W,,W₂, Wzo گلهای - ze in this example we have primal probleen have 2 Contstraints and 3 variable then gas dual have 3 ontshraunts and 2 variable . # Now, similarly in the given Question. A minimization problem have g variables and 4 coustraints then gta dual have 4 variables and 9 constraints. ze There are 14 variables in the dual problem. There are or problem constraints in the dual problemi ANS