A fast-food restaurant has one drive-through window. On average, 40 customers arrive per hour at the window. It takes an average of 1 minute to serve a customer. Assume that interarrival and service times are exponentially distributed.

1. a) Whatistheutilizationoftheserver?Whatfractionofthetimeistheserver idle? (6 points)

2. b) On average how many customers are in the restaurant at any given point in time? (6 points)

3. c) On average how long does a customer spend at the restaurant? (6 points)

4. d) Suppose the restaurant hires one more employee. Recalculate your results

   for part c) and compare the outcome. Assume that ! is given as 0.076. (6

   points)

5. e) Assume the original scenario in the problem statement (not the addition in

   part d)) and suppose that the restaurant buys new kitchen tools, resulting in the reduction of service time to 0.8 minutes per order. The service time is now assumed constant. Recalculate and compare your results in parts c and d). Which scenario is better in terms of average time spent in the restaurant; with two employees or with the new kitchen tool? (6 points)