You are given the following LP modelin algebraic form, with x1 and x2 as thedecision variables:
Minimize Cost = 40x1 +50x2
Subject to
               Constraint 1: 2x1 + 3x2 >= 30,
               Constraint 2: x1 + x2 >= 12,
               Constraint 3: 2x1 + x2 >= 20,
and x1 >=0,x2 >= 0.
- Use the graphical method to solve this model.
- How does the optimal solution change if the objective functionis changed to
Cost = 40x1 +70x2?
- How does the optimal solution change if the third functionalconstraint is changed to
2x1 + x2 >=15?
Please graph feasible region for parta
