Waiting Line Models A Fast Food Restaurant- Consider a drive-through window at a fast food restaurant. Customers arrive at the rate of 25 per hour. The drive-through window is staffed with one employee, who can serve one customer every two minutes. Assume Poisson arrival and exponential service rates. Questions:- 1-a) What is the average utilization of the employee (in decimal number)?~ tttttttttt 1-b) What is the average number of customers in the system?1-c) What is the average time (in minutes) in the system? ittittittitt 1-d) What is the average waiting time (in minutes) in line?+ titttittittit 1-e) What is the average number of customers in line? +J \\_ A m Grocery Store'sl The manager of a grocery store of Wis interested in providing good service to senior citizens. Currently, the store has a separate checkout counter for senior citizens. On average, 30' senior citizens per hour arrive at the counter, according to a Poisson process, and are served at an average rate of 35 customers perhour, with exponential service times. Find the following operating characteristics?!l {.1 {'fgLna-stionsri-l Za) Average utilization of the checkout counter (in decimal number}. i-' 11 b) Probability of zero customers in the system {in decimal mlmber)-