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 <=15

2X1+ X2 >= 12

X1, X2 >= 0

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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