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3. Solve the following linear program using the fundamental theorem. Specif- ically, find all vertices of the feasible region, calculate the values of the

3. Solve the following linear program using the fundamental theorem. Specifically, find all vertices of the feasible region,

3. Solve the following linear program using the fundamental theorem. Specif- ically, find all vertices of the feasible region, calculate the values of the objective function at those points, and conclude the optimal solution. (Hint: plot the feasible region in 2D) max(- + 4x) subject to 3x1 + x2 1 3x1 + x2-5 21-224 X1 X-2 X

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