A machine process units in batches. It has a setup time of 120 minutes and run time of 0.008 minutes per piece. After a batch is processed, the process has to be stopped and the machine has to be setup before the next batch can be processed. Assume that a day is 480 minutes long.

Question #1

Find the capacity in pieces per day for this machine under the following assumptions:

(i) Batch size is 5,000 units (12 pts)

(ii) Batch size is 10,000 units. (12 pts)

(iii) What is the percent change in capacity as you go from (i) to (ii) (6 pts)

Question #2

A particular operation may be performed by two kinds of process. Process A requires a setup time of 40 minutes, whereas Process B requires a setup time of 180 minutes. On the other hand, the per unit run times are: 0.012 minutes on A and 0.002 minutes on B. What is the minimum batch size you would route through B?

Question #3

A process produces two types of products A and B. Product A is done in batches of 1000 units. It involves a setup time of 1 hour and a run time of 45 seconds. Product B is done in batches of 2000 units and involves a setup time of 0.5 hour and a run time of 30 seconds.

How many units can this process produce in a week of 40 hours, if:

only product A is produced?

only product B is produced?

A and B are produced in a mix of 20% A and 80% B?