In a work center, machine A has a 10-minute set-up time per batch and a 2-minute per unit run time.Machine B performs the identical function but has a set-up time of 30 minutes and a 1-minute run time per unit.The work center makes products in batches ranging from 1 unit to 100 units.Assuming capacity is not a limitation on either machine, in order to minimize the total processing time, on which batches should machine B be used?
A)All batches should be run on machine B.
B)Batches of more than 20 units should be run on machine B.
C)Batches of fewer than 80 units should be run on machine B.
D)Batches with up to 50 units should be run on machine B.
E)No batches should be run on machine B.

Question

Quizplus · Accepted Answer

Machine B should be used for batches of more than 20 units because its lower per unit run time compensates for its longer setup time when the batch size is large enough.

In a Work Center, Machine a Has a 10-Minute Set-Up