solution needed

2. (a) Timtaste Restaurant is considering opening a drive-through window for customer service in Tarkwa. Management estimates that customers will arrive at the rate of one every five minutes. The Page 1 of 3 teller who will staff the window can service customers at the rate of one every four minutes. Assuming Poisson arrivals and exponential service, find (i) Utilization of the teller. (3 marks) (ii) The average waiting time in line. (5 marks) (iii)The average waiting time in the system, including service. (5 marks) (iv) Explain to management the meaning of your answer in (b). (2 marks) (v) What is the present level of service for the two-car limit? (4 marks) (vi) What level of teller use must be attained, and what must be the service rate of the teller to ensure the 94 percent level of service? (6 marks) (Note: Use Equation Model 1) Equations for Solving Three Model Problems 2. (a) Timtaste Restaurant is considering opening a drive-through window for customer service in Tarkwa. Management estimates that customers will arrive at the rate of one every five minutes. The Page 1 of 3 teller who will staff the window can service customers at the rate of one every four minutes. Assuming Poisson arrivals and exponential service, find (i) Utilization of the teller. (3 marks) (ii) The average waiting time in line. (5 marks) (iii)The average waiting time in the system, including service. (5 marks) (iv) Explain to management the meaning of your answer in (b). (2 marks) (v) What is the present level of service for the two-car limit? (4 marks) (vi) What level of teller use must be attained, and what must be the service rate of the teller to ensure the 94 percent level of service? (6 marks) (Note: Use Equation Model 1) Equations for Solving Three Model Problems