a. How much time would you expect a customer to wait in line, pay with a debit card, and leave?
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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 500 per hour. It will take exactly 5.0 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?
Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.
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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 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?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 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.Determine the maximum length of a waiting line for specified probabilities of 95 percentand 98 percent, for a system in which M = 2, λ = 8 per hour, and μ = 5 per hour.A vending machine dispenses hot chocolate or coffee. Service time is 35 seconds per cup and is constant. Customers arrive at a mean rate of 66 per hour, and this rate is Poisson-distributed. a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) Average number of customers ?? b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average time minutes ??
- 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.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.
- Customers arrive at the lobby of the exclusive and expensive Ritz Hotel at the rate of 40 per hour (Poisson distributed) to check in. The hotel normally has three clerksavailable at the desk to check guests in. The average timefor a clerk to check in a guest is four minutes (exponentially distributed). Clerks at the Regency are paid $12 perhour and the hotel assigns a goodwill cost of $2 per minutefor the time a guest must wait in line. Determine if the present check-in system is cost effective; if it is not, recommend what hotel management should do(Need all three parts) Question 4- A Starbucks shop decides to install an automatic coffee vending machine outside one of its stores to reduce the number of people standing in line inside. The cost of one coffee on the machine is 3.50$. The service time is a constant 3 minutes, and the arrival rate is 15 person per hour with a Poisson distribution.(You can use the Excel calculator to solve this question) 1- What is the average wait in line? 2- What is the average number of people in line? 3- Starbucks decides to increase the price to 5$ per cup and take 60 seconds off the service time. But this increase in the price reduce the arrival rate to 10 person per hour. Now, what is the average wait time and the average number of people in the line? For question 4, type the correct answer in front of each sub-question. Also, please copy an image of the excel file you answer the question.Customers in LineWestern National Bank is considering opening a drive-thru window for customer service. Management estimates that customers will arrive at the rate of 15 per hour. The teller who will staff the window can service customers at the rate of one every three minutes.Part 1 Assuming Poisson arrivals and exponential service, find1. Utilization of the teller.2. The average number in the waiting line.3. The average number in the system.4. The average waiting time in line.5. The average waiting time in the system, including service.