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For the Transportation Problem given by the following tableau, find an initial basic feasible solution by Vogel's method and then find an optimal solution. (15 Pts) \table[[,L1,L2,L3,SUPPLY],[S1,9,15,12,10],[S2,6,8,13,23],[S3,9,3,11,27],[DEMAND,21,14,25,]] (Rubric: 15 Pts

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Pts for correct calculation of penalty +3 Pts for correct initial basic feasible solution using VAM method +3 Pts for correct application of solution improvements +3 Correct final solution +3 points for presentation skills of the problem)