1. Topic : Linear Programming Problem
Minimization with two constraints
Maximization with three constraints
2. Graphical Method of Linear Programming
Problem
Is used for solving the problems by finding out
the maximum or minimum point of the
intersection between the objective line and the
feasible region
4. Solve the following LPP using graphical
method
Minimize z= 4๐๐ +6๐๐
Subject to
๐๐ + ๐๐ โฅ 8 above the feasible region
6๐๐ + ๐๐ โฅ12 above the feasible region
๐๐ and ๐๐ โฅ 0
5. Solve the following LPP using graphical
method
Maximize z= 100๐๐ +6๐๐๐
Subject to
5๐๐ + ๐๐๐๐ โค 50 below the feasible region
8๐๐ + ๐๐๐ โฅ16 above the feasible region
3๐๐ - ๐๐๐ โฅ6 above the feasible region
๐๐ and ๐๐ โฅ 0
6. Activity 1: Solve the following LPP using graphical
method.
1.Minimize z= ๐๐๐ +10๐๐
Subject to
๐๐ + ๐๐ โฅ 10
8๐๐ + ๐๐ โฅ24
๐๐ and ๐๐ โฅ 0
7. Activity 1: Solve the following LPP using graphical method.
2. Minimize z= ๐๐๐ +10๐๐
Subject to
๐๐๐ + ๐๐ โฅ 10
๐๐ + ๐๐๐ โฅ28
๐๐ and ๐๐ โฅ 0
8. Activity 1: Solve the following LPP using graphical method.
3. Maximize z= 80๐๐ +40๐๐
Subject to
6๐๐ + ๐๐๐๐ โค 60
4๐๐ + ๐๐๐ โฅ12
3๐๐ - ๐๐๐ โฅ12
๐๐ and ๐๐ โฅ 0