Question: Consider the following four LP formulations. Using a graphical approach, determine (a) which formulation has more than one optimal solution. (b) which formulation is unbounded.

Consider the following four LP formulations. Using a graphical approach, determine (a) which formulation has more than one optimal solution. (b) which formulation is unbounded. (c) which formulation has no feasible solution. (d) which formulation is correct as is.

Formulation 1

Maximize: 10X1+10X2

Subject to:

2X110

2X1+4X216

4X28

X1=6

Formulation 2

Maximize: X1+2X2

Subject to:

X11

2X22

X1+2X22

Formulation 3

Maximize: 3X1+2X2

Subject to:

X1+X25

X12

2X28

Formulation 4

Maximize: 3X1+3X2

Subject to:

4X1+6X248

4X1+2X212

3X23

2X12

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