In a work center, machine A has a 10-minute set-up time per batch and a 2-minute

Question

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.

Explanation / Answer

Answer:

b. Batches of more than 20 units should be run on machine B.

Working note:

Let, no. of units that make both the machine equal in total processing time = X

Thus,

Total time taken by Machine A = setup time + total units run time = 10 + 2*X

Total time taken by Machine B = 30 + 1*X

Now,

10+2X = 30+X                      (as both the machine will take equal time to make X units)

X = 20

Thus,

For less than 20 units, Machine A should be selected as it will take shorter process time

&

For more than 20 units, Machine B should be selected as it will take shorter process time.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.