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.

Microprocessor Work center 1 Work center 2 Work center 3 Work center 4 Work center 5 Type 1 8 5 7 11 6 Type 2 5 6 6 13 8 Type 3 10 10 12 8 11 Type 4 12 7 9 6 10 Type 5 6 9 7 11 8 Identify the optimal assignments that will minimize the total time required to produce the microprocessors.