If the demand is 4 is sandwiches/hour, and there are 2 orders of sandwiches in the process on average, what is the average time for an order to be fulfilled in the process

Remainder Part of the Question:

Cubway, the sandwich shop, is run by Jim, Tim, and Kim. When a customer arrives, Jim spends 5 minutes taking orders from the customer. After this, Tim prepares bread and Kim prepares to fill for the order. These activities are performed in parallel and take 7 and 10 minutes respectively. Jim then assembles the bread and filling, which takes 5 minutes of his time. Finally, Tim spends 5 minutes delivering the order and taking payment.

25 minutes

Explanation:

The following operations are performed for a single order:

Taking an Order: It takes 5 minutes.

Preparing Bread & Prepare Filling: 7 minutes are common and filling takes 3 additional minutes. Hence it takes 10 minutes to wait for Preparing Bread and Preparing for filling.

Assembling: It takes 5 minutes.

Delivery and Payment: It takes 5 minutes.

The total time required for a single unit is 25 minutes.

Kindly note that the bottleneck resource in the above case is Preparing Filling because it will limit the production, which takes a maximum time of 10 minutes. Hence, the bottleneck is 6 units per hour (60 minutes / 10 minutes) which is also the maximum number of order processing in an hour.

Now, the average number of orders in the process is 2 which is below the maximum limit of 6, the time required would be 25 minutes.

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