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? Select one: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

Monserrat

Business

13 September, 07:05

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? Select one: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.

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Answers (1)

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Elise Little · Answer 1

Answer: The answer is b Batches of more than 20 units should be run on machine B

Explanation:

Machine A = 10 + 2Q

Machine B = 30 + 1Q

Equate the two equation, we have

10 + 2Q = 30 + 1Q

Collect the like terms, we have

10 - 30 = 1Q - 2Q

20 = Q

Therefore Q = 20

The correct answer is B