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In a small job shop department there are four jobs to be assigned to three workers....

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Advance Math

In a small job shop department thereare four jobs to be assigned to three workers. The table belowindicates the weekly costs incurred by assigning each worker toeach job. The objective is to find the optimal assignment that willminimize the total cost.

                   

Worker/Job ?  I      II    III    IV

A     ? 12     10    11    15

  B     ?13      16   14    12

  C     ? 11 12   13    10

     Formulate this problem as a linear programming model to find theoptimal assignment to minimize the total cost. Please show yourdefinition of decision variables neededclearly for this formulation. Donot ever try to solve this formulation.

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