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5. The average part produced in a certain batch manufacturing plant must be processed sequentially through an average of eight operations per batch. For each operation, average operation time is 3 min, average batch size is 20 parts, average setup time is 4 hours per batch, and average nonoperation time is 10 hours per batch. There are 16 machines in the plant. Any machine can be set up for any type of batch processed in the plant. The plant operates 80 production hours per week. Determine: (a) manufacturing lead time per batch (b) plant capacity if all machines could be operated at 100% utilization