A fast food outlet serves customers during lunch hour by taking orders and makin

Question

A fast food outlet serves customers during lunch hour by taking orders and making fresh batches of stir fry. Customers have only one choice during the lunch hour, since the objective is to maximize the number of customers served. Assume that each customer places just one lunch order, and all lunch orders are the same size-one unit of stir fry. The stir fry cooking works in this manner. First, a batch of orders is cooked in a work by one person. The cooking depends upon the number of orders in the batch. The time to cook just one order is 4 minutes. For each additional order in the batch, it takes 0.5 minutes more to cook. Thus, cooking two orders in a batch takes 4.5 minutes, cooking three orders takes 5 minutes, and so on. The other process is bagging and accepting payments(done by a separate person), which takes 0.6 minutes per order. Now the outlet operates with batch sizes of 12 units, what is their process capacity(in orders per minute)? (NB process capacity can be fraction. Answer up to one digit after the decimal point. For example if your calculation shows 3.67, type 3.7)

Explanation / Answer

The proces is

Taking orders and then Bagging and making payments.

At the stage of bagging and payments - time is - 0.6 minutes per order means for a batch size of 12

it will take 12 X 0.6 = 7.2 minutes (it will act as a bottleneck)

In a process as we know that the process capacity is determined by the bottleneck only.

means here during the time of 7.2 minutes, the first stage can take only 7 orders at the most because of the explanation as mentioned in the table below:

Orders Time (minutes) 1 4 2 4.5 3 5 4 5.5 5 6 6 6.5 7 7 8 7.5

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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