SOLUTION: 1. In a LPP, if the primal has 3 variables, then the dual too will always have 3 variables. Select one: True False 2. In the standard form of a linear programming problem,

Algebra ->  Test -> SOLUTION: 1. In a LPP, if the primal has 3 variables, then the dual too will always have 3 variables. Select one: True False 2. In the standard form of a linear programming problem,      Log On


   

Question 1178458: 1. In a LPP, if the primal has 3 variables, then the dual too will always have 3 variables.
Select one:
True
False
2. In the standard form of a linear programming problem, the objective function can be both maximisation or minimisation type.
Select one:
True
False
Answer by CPhill(1959) About Me  (Show Source):
You can put this solution on YOUR website!
Let's analyze each statement:
**1. In a LPP, if the primal has 3 variables, then the dual too will always have 3 variables.**
* **False:** The number of variables in the primal problem corresponds to the number of constraints in the dual problem, and the number of constraints in the primal problem corresponds to the number of variables in the dual problem. Therefore, if the primal problem has 3 variables, the dual problem will have 3 constraints. The number of variables in the dual is equal to the number of constraints in the primal.
**2. In the standard form of a linear programming problem, the objective function can be both maximisation or minimisation type.**
* **False:** The standard form of a linear programming problem typically requires the objective function to be of the maximization type. Minimization problems are converted to maximization problems by multiplying the objective function by -1.