Hudsucker makes hula-hoops out of plastic tubing on a machine called an extruder

Question

Hudsucker makes hula-hoops out of plastic tubing on a machine called an extruder. It takes exactly 8 hours to extrude a batch, after which the batch is cured for exactly 3 hours in an oven and is then ready for immediate shipment. There is only one extruder and only one oven (which holds only one batch), each of which operates 24 hours per day, 7 days per week. Hudsucker only makes a batch of hoops after receiving a retailer’s order for that batch; orders arrive randomly and every order is for exactly one batch. If Hudsucker accepts 2 orders per day on average, then on average how long does a customer have to wait after placing an order until it is ready for shipment?

A)71.5 hours

B)11 hours

C)19 hours

D)16 hours

Explanation / Answer

This is a made-to-order batch processing system. Since processing starts just after an order is received and 2 batches cannot be processed simultaneously as there is only 1 extruder and 1 oven ,

The customer needs to wait for at least 8 + 3 = 11 hours before his batch is ready for shipment.

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