Question: Solve the following linear program using both the graphical and the simplex methods: Max 2X1 + 8 X2 s.t. 3X1 + 9X2 = 12 X1,

Solve the following linear program using both the graphical and the simplex methods:

Max

2X1

+ 8 X2

s.t.

3X1

+ 9X2

2X1

+ X2

X1, X2

Show graphically how the simplex method moves from one basic feasible solution to another. Find the coordinates of all extreme points of the feasible region.

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