A new restaurant just opened-up in a town near you. The manager of this establishment has asked you to evaluate their drive-thru system queue. More specifically, the restaurant owner wishes to better understand the relationship between service rates and the resulting average amount of time a customer spends in the system. The manager has a choice in the number of servers working ranging from a minimum of 8 servers to a maximum of 15 servers (only consider integers values of servers). The restaurant's average service rate is a function of the number of servers working such that (number_of_servers5 = average_customers_serviced_per_hour). Assuming that the restaurant meets M/M/1 model assumptions and has an average arrival rate of 37 customers/hour, what is the minimum number of servers required to meet the threshold maximum time of 5 minutes for average time a customer spends in the system?

A. 8 servers

B. 9 servers

C. 10 servers

D. 11 servers

E. 12 servers

Question 2:

Using the same model assumptions as Q16, and assuming your answer for Q16 being 13 servers and service rate as its corresponding average_service_rate (5servers=average_service_rate_per_hour), what is the probability that exactly 5 customers are in the system? (round to nearest hundredth of a percent)

A. 5.77%

B. 19.24%

C. 10.54%

D. 2.57%

pur-new-sol

Related Questions