PLEASE EXPLAIN THE SULOTION !!!! THE RIGHT ANSWERS ARE ALREADY CHOSEN. I NEED EX

Question

PLEASE EXPLAIN THE SULOTION !!!! THE RIGHT ANSWERS ARE ALREADY CHOSEN. I NEED EXPLANATIONS

THANK YOU.

Questions 11-14 are based on the following problem The City Beverage Drive-Thru is considering a two-channel service system. Cars arrive according to the Poisson probability distribution, with a mean arrival rate of 15 cars per hour. The service times have an exponential probability distribution with a mean service rate of 10 cars per hour for each channel. 11. What is the average number of cars in the system? a. 3.429 b. 4.328 c. 2.000 d. 3.000 e. 2.800 12. What is the average time a car waits in the queue? a. 0.8250 hours b. 0.9182 hours. c. 0.0222 hours. d. 0.1286 hours. e. None of the above 13. A new cash register would speed up the processing rate of the each server to 15 customers per hour and will cost S12 per hour to lease per register (two will be needed). The new average waiting time in the queue is a. 0.8250 hours b.0.9182 hours. c.0.0222 hours. d. 0.1286 hours. e. None of the above 14. Suppose management assigns a customer waiting cost of $50 per hour when the customer is waiting in line Which of the following statements is true a. Use the new register because the hourly savings will be S55.80 b. Use the new register because the hourly savings will be S24.00 c. Stay with the old system, it is less expensive. d. Both have he same houly cost, so use either e. None of the above.

Explanation / Answer

PLEASE EXPLAIN THE SULOTION !!!! THE RIGHT ANSWERS ARE ALREADY CHOSEN. I NEED EXPLANATIONS

THANK YOU.

Questions 11-14 are based on the following problem The City Beverage Drive-Thru is considering a two-channel service system. Cars arrive according to the Poisson probability distribution, with a mean arrival rate of 15 cars per hour. The service times have an exponential probability distribution with a mean service rate of 10 cars per hour for each channel. 11. What is the average number of cars in the system? a. 3.429 b. 4.328 c. 2.000 d. 3.000 e. 2.800 12. What is the average time a car waits in the queue? a. 0.8250 hours b. 0.9182 hours. c. 0.0222 hours. d. 0.1286 hours. e. None of the above 13. A new cash register would speed up the processing rate of the each server to 15 customers per hour and will cost S12 per hour to lease per register (two will be needed). The new average waiting time in the queue is a. 0.8250 hours b.0.9182 hours. c.0.0222 hours. d. 0.1286 hours. e. None of the above 14. Suppose management assigns a customer waiting cost of $50 per hour when the customer is waiting in line Which of the following statements is true a. Use the new register because the hourly savings will be S55.80 b. Use the new register because the hourly savings will be S24.00 c. Stay with the old system, it is less expensive. d. Both have he same houly cost, so use either e. None of the above.

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