Question 3. HotWings restaurant o ers half-price wings every Tuesday. The restaurant opens at 7pm.

However, customers start lining up at 6:30pm. Customers arrive at a rate of 45/hr until 8:30pm and then

Question 3. HotWings restaurant o ers half-price wings every Tuesday. The restaurant opens at 7pm.

However, customers start lining up at 6:30pm. Customers arrive at a rate of 45/hr until 8:30pm and then

at a rate of 30/hr until 10pm. The restaurant can serve at a rate of 35/hr, and the counter works till all

customers served.

(a) Draw a graph of the number of customers waiting in line. Start the graph at 6:30pm and show the

number of waiting customers until the line becomes empty (use the continuous time setting).

(b) Using the inventory build-up diagram, calculate the average number of customers in line.

(c) How long on average does a customer spend in line? (Hint: Little’s Law.)

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