tially, on are estimated to arrive at this experimental lane at the rate of 800 per hour. It will take exactly 2.5 seconds to veri a. How much time would you expect a customer to wait in line, pay with a debit card, and leave? Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place. Average total time seconds b. How many cars would you expect to see in the system? Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places. Average number in system cars
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- A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 750 per hour. It will take exactly 3.0 seconds to verify the debit card.a. How much time would you expect a customer to wait in line, pay with a debit card, and leave? (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) b. How many cars would you expect to see in the system? (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 750 per hour. It will take exactly four seconds to verify the debit card. How much time would you expect a customer to wait in line, pay with a debit card, and leave? Note: Do not round intermediate calculations. How many cars would you expect to see in the system? Note: Round your answer to 2 decimal places.A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls.Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane atthe rate of 750 per hour. It will take exactly four seconds to verify the debit card.a. In how much time would you expect the customer to wait in line, pay with the debitcard, and leave?b. How many cars would you expect to see in the system?
- A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at a rate of 750 per hour. It will take exactly four seconds to verify the debit card. (Answers in Appendix D)a. In how much time would you expect the customer to wait in line, pay with the debit card, and leave?b. How many cars would you expect to see in the system?The task I am struggling with: Consider the baggage check-in of a small airline. Check-in data indicate that from 9 a.m. to 10 a.m. 255 passengers checked in. Moreover based on counting the number of passengers waiting in line, airport management found that the average number of passengers waiting for check-in was 35. How long did the average passenger have to wait in line? Thank you very much for your help.Circle Electric Supply is considering opening a second service counter to better serve their electrical contractor customers. The arrival rate is 11 per hour. The service rate is 16 per hour. If the cost of waiting is $31 and the cost of each service counter is $23 per hour, should the second counter be opened? (Give your numerical values in dollars per hour. Round your answers to two decimal places.) With one counter, the cost per hour is $ . With two counters, the cost per hour is $ . The second counter ---Select--- should should not be opened.
- The BPD has three tellers to provide service. Each teller, on average, serves one customer in three minutes per customer, the latter arriving 50 every hour. Due to complaints received, an evaluation of the system has been requested:(a) Give the average utilization of the service system with the three tellers.b) What is the probability of arriving at the bank with no one there?c) What is the average number of customers waiting in line?d) On average how long does a customer wait in line to be served?e) On average how many customers would be served at a teller and waiting in line?A Northwest Airlines ticket counter forecasts that 30 people per hour will need to check in. It takes an average of 1.5 minutes to service a customer. Assume that interarrival times and service times are exponential and that all customers wait in a single line for the first avaliable agent.If we want the average time a customer spends in line and in service to be 3 minutes or less, how many ticket agents should be on duty?Consider the baggage check-in process of a small airline. Check-in data indicate thatfrom 9 a.m. to 10 a.m., 240 passengers checked in. Moreover, based on counting thenumber of passengers waiting in line, airport management found that the average number of passengers waiting for check-in was 30. How long did the average passenger haveto wait in line?
- Trucks are required to pass through a weighing station so that they can be checked for weight violations. Trucks arrive at the station at the rate of 45 an hour between 7:00 pm and 9:00 pm. Currently, three inspectors are on duty during those hours, each of whom can inspect 25 trucks an hour. Please show work. Question: How many trucks would you expect to see at the weighing station, including those being inspected?An average of 90 patrons per hour arrive at a hotel lobby(interarrival times are exponential), waiting to check in. At present, there are 5 clerks, and patrons are waiting in a singleline for the first available clerk. The average time for a clerkto service a patron is 3 minutes (exponentially distributed).Clerks earn $10 per hour, and the hotel assesses a waitingtime cost of $20 for each hour that a patron waits in line.a Compute the expected cost per hour of the currentsystem.b The hotel is considering replacing one clerk with an Automatic Clerk Machine (ACM). Management esti-mates that 20% of all patrons will use an ACM. An ACM takes an average of 1 minute to service a patron.It costs $48 per day (1 day 8 hours) to operate anACM. Should the hotel install the ACM? Assume thatall customers who are willing to use the ACM wait in asingle queue.A bike repair plant is trying to determine how long the average line for a repair process will be. If 13 bikes arrive each hour and must wait 5 minutes in the line, how long will the line be, on average?