Baker's Delight offers a special promotion on Thursdays where customers can buy one loaf of bread and get another one for free. The bakery opens at 9 am, but customers start lining up at 8:30 am. Customers arrive
at a rate of 30/hr until 10 am and then at a rate of 20/hr until 12 pm. The bakery can bake bread and serve the customers at a rate of 25/hr, and the counter works till all customers are served.

(a) Draw the Inventory Build-Up diagram showing the number of customers waiting in line in 30-minute time slots. Start the graph at 8:30 am and show the number of waiting customers until the line becomes empty. Use a discrete 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. You need to compute the average throughput rate first. Pay attention to units.)

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a Inventory BuildUp Diagram In a discrete time setting we can represent the number of customers wait... View the full answer