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

In a small job shop department there are four jobs to be assigned to three workers. The table below indicates the weekly costs incurred by assigning each worker to each job. The objective is to find the optimal assignment that will minimize 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 the optimal assignment to minimize the total cost. Please show your definition of decision variables needed clearly for this formulation. Do not ever try to solve this formulation.

Expert Solution

Colby Messinger answered 2 years ago

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

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