A mobile manufacturer must produce five types of microprocessors. Currently five work centers are available for production. Each work center can produce each type of microprocessor; however, the time required to produce a unit at a work center differs depending on the technology used and the skill set of machine operators. Each microprocessor must be produced in just one work center. The time required to produce a single microprocessor of each type at different work centers in minutes is provided in the following table.

Identify the optimal assignments that will minimize the total time required to produce the microprocessors.

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Microprocessor Type 1 Type 2 Type 3 Type 4 Type 5 Work center 1 8 5 10 12 6 Work center 2 5 6 10 7 9 Work center 3 7 6 12 9 7 Work center 4 11 13 8 6 11 Work center 5 6 8 11 10 8