Question: 1. Solve the following LP model by Simplex Method and find x1, x2 and x3. Max Z= 4x1 + 2x2 +2x3 s.to 3x1 + 6x2

1.Solve the following LP model by Simplex Method and find x1, x2 and x3.

Max Z= 4x1 + 2x2 +2x3

s.to

3x1 + 6x2 - 3x3 90

3x1+x2+x3 180

x1- x2 + x3 60

x1, x2, x3 0

2.Find a problem and define the decision variables to meet the following LP formulation. A LP model is constructed for you, you will just write down a problem according to this LP formulation.

Max Z= 2x1 + 3x2+ 5x3

s.to

x1+ x2+ x3 30

2x1 +3x2+ 4x3 100

x1 - 2x2 0

x1- x3 50

x1, x2, x3 0

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