Process Interruptions Batching Setup Time; Process Capacity: C&A Furniture uses

Question

Process Interruptions Batching Setup Time; Process Capacity: C&A Furniture uses a four-step process to make its famous wood table Processing Time minutes Process Milling-table 10 Milling-table stand Assembly Finishing 20 There is one milling machine used to mill both table top and table stand; one table top and one stand is needed to make each table The milling machine requires a setup time of 30 minutes to make table tops and a changeover time of 30 minutes to make table stands You may assume that, after a setup, the milling machine works on one batch of table tops, and after the changeover time, it works on one batch of table stands; this production cycle then is repeated. Notes: Process capacity is the minimum of milling, assembly, and finishing capacity; milling, assembly, and finishing each have one machine resource OA. The capacity of finishing determines the capacity of the process. OB. The capacity of milling determines the capacity of the process OC If batch size is greater than 12, the bottleneck of the process wl shift from milling to finishing OD. If batch size is greater than 10, the bottleneck of the process wl shift from milling to finishing

Explanation / Answer

The bottleneck process will depend on batch size as the time is required for changeover from Milling table top to table bottom.

Total time of milling with batch size 'x' for table top and table bottom including two changeover of 30 minutes = 10x + 5x + 30*2 = 15x + 60

The time for finishing for 'x' units = 20x

The value of x for which time of milling and finishing are equal is:

15x + 60 = 20x

x = 12

So, for batch size less than 12, Milling will be constraint. If number of units are more than 12, then finishing will be a constraint.

Ans C

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