Question

In: Operations Management

The Candy Company can serve customers at a fixed rate of 30 customers/hour. During evenings, between...

The Candy Company can serve customers at a fixed rate of 30 customers/hour. During evenings, between 6pm and 8pm, there is a peak period demand that lasts two hours. During this peak period of two hours, a total of 100 customers show up, at a constant rate.

a. Assuming there was not a single customer in the store at 6pm, how many people are in the store waiting in line and being served at 8pm?

b. Assuming there was not a single customer in the store at 6pm, how much time does a customer wait on average to finish the service (in hour)? Two decimal places

Solutions

Expert Solution

a)

The overall capacity of the servers is 30 per hour. However the arrival rate is 50 per hour during the peak hour. This means that 20 from each hour will be additional. This will leave 40 people waiting in the line and 1 customer being served at 8 PM.

b)

The situation is best simulated. The screenshot is shown below.

The average time spent by a customer in the system is 41.6 minutes.

keosha answered 2 days ago
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