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  3. you are given the following lp model in algebraic

You are given the following LP model in algebraic form, with x1 and x2 as the decision...

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Basic Math

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.

  1. Use the graphical method to solve this model.
  2. How does the optimal solution change if the objective functionis changed to

Cost = 40x1 +70x2?

  1. How does the optimal solution change if the third functionalconstraint is changed to

2x1 + x2 >=15?

Please graph feasible region for parta

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