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 6.0 seconds to verify the debit card.
a. In how much time would you expect the customer to wait in line, pay with the debit card, and leave? (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? (Round your intermediate calculations to 3 decimal
places and final answer to 2 decimal places.)
Average number in system cars
A toll tunnel has decided to experiment with the use of a debit card for the...
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 600 per hour. It will take exactly 5.0 seconds to verify the debit card. a. In how much time would you expect the customer to wait in line, pay with the debit card, and leave? (Round your intermediate calculations to 3...
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 according to a Poisson distribution with a mean rate of 425 vehicles per hour. It will take exactly 8 seconds to verify the debit card. a. How much time would you expect the traveler to wait in line, pay with the debit card, and leave? b. How many cars...
the Ponchatrain Bridge is a 16-mile toll bridge that crosses Lake Ponchatrain in New Orleans. Currently, there are 7 toll booths, each staffed by an employee. Since Hurricane Katrina, the Port Authority has been considering replacing the employees with machines. Many factors must be considered because the employees are unionized. However, one of the Port Authority's concerns is the effect that replacing the employees with machines will have on the times that drivers spend in the system. Customers arrive...
Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 50 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 75 seconds. To help determine the amount of space needed for the line at the drive-up window, answer the following questions. a. What is...
Problem 7-16 (Algo) Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 50 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 65 seconds. To help determine the amount of space needed for the line at the drive-up window, answer the following questions....
Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 50 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 75 seconds. To help determine the amount of space needed for the line at the drive-up window a. What is the average waiting line...
Problem 10-10 A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 4.0 per minute. In serving themselves, customers take about 8 seconds, exponentially distributed. a. How many customers would you expect to see on the average at the coffee urn? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average no of customers ____ b. How long would you expect it...
A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 4.0 per minute. In serving themselves, customers take about 12 seconds, exponentially distributed. a. How many customers would you expect to see on the average at the coffee urn? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average no of customers b. How long would you expect it to take...
A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 61 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 customer 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 ...
Chapter 18 Problems Help Save & Exit Submit Check my work 18. Problem 18-2 A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 58 per hour, and this fate is Poisson-distributed. a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) Average number of customer b. Determine the average time customers spend in the system. (Do not...