Question 2 The Papaye fast-food restaurant has a drive-through window. Customers in cars arrive at the window at the rate of 10 per hour (Poisson distributed). It requires an average of 4 minutes (exponentially distributed) to take and fill an order. The restaurant chain has a service goal of an average waiting time of 3 minutes. a.) Will the current system meet the restaurant's service goal? If no why, show calculation b) If the restaurant is not meeting its service goal, it can add a second drive- through window that will reduce the service time per customer to 2.5 minutes. Will the additional window enable the restaurant? to meet its service goal? c) During the 2-hour lunch period, the arrival rate of drive-in customers increases to 20 per hour. Will the two-window system be able to achieve the restaurant's service goal during this rush period d) What will be the utilization factor?

MATLAB: An Introduction with Applications
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Question 2
The Papaye fast-food restaurant has a drive-through window. Customers in cars arrive
at the window at the rate of 10 per hour (Poisson distributed). It requires an average of
4 minutes (exponentially distributed) to take and fill an order. The restaurant chain has
a service goal of an average waiting time of 3 minutes.
a.) Will the current system meet the restaurant's service goal? If no why, show
calculation
b) If the restaurant is not meeting its service goal, it can add a second drive-
through window that will
reduce the service time per customer to 2.5 minutes. Will the additional
window enable the restaurant?
to meet its service goal?
c) During the 2-hour lunch period, the arrival rate of drive-in customers increases
to 20 per hour. Will
the two-window system be able to achieve the restaurant's service goal during
this rush period
d) What will be the utilization factor?
Transcribed Image Text:Question 2 The Papaye fast-food restaurant has a drive-through window. Customers in cars arrive at the window at the rate of 10 per hour (Poisson distributed). It requires an average of 4 minutes (exponentially distributed) to take and fill an order. The restaurant chain has a service goal of an average waiting time of 3 minutes. a.) Will the current system meet the restaurant's service goal? If no why, show calculation b) If the restaurant is not meeting its service goal, it can add a second drive- through window that will reduce the service time per customer to 2.5 minutes. Will the additional window enable the restaurant? to meet its service goal? c) During the 2-hour lunch period, the arrival rate of drive-in customers increases to 20 per hour. Will the two-window system be able to achieve the restaurant's service goal during this rush period d) What will be the utilization factor?
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