A movie theater has four (4) auditoriums. Each of the four auditoriums plays a different film....
- A movie theater has four (4) auditoriums. Each of the four
auditoriums plays a different film. The theater has a single ticket
booth and a cashier who can maintain an average service rate of 280
movie patrons per hour. Patrons arrive at an average rate of 210
per hour and follow a Poisson distribution.
- Find the average number of moviegoers waiting in line to purchase a ticket.
- What percentage of the time is the cashier busy?
- What is the average time a customer spends in the system?
- What is the average time spent waiting in line to get to the ticket window?
- What is the probability that there are more than two people in the system? More than three people? More than four?
Homework Answers
Add Answer to:
A movie theater has four (4) auditoriums. Each of the four
auditoriums plays a different film....
Beate Klingenberg manages a Poughkeepsie, New York, movie theater complex called Cinema 8. Each of the...
Beate Klingenberg manages a Poughkeepsie, New York, movie theater complex called Cinema 8. Each of the eight auditoriums plays a different film; the schedule staggers starting times to avoid the large crowds that would occur if all eight movies started at the same time. The theater has a single ticket booth and a cashier who can maintain an average service rate of 300 300 patrons per hour. Service times are assumed to follow a negative exponential distribution. Arrivals on a...
To be written in C++. A local movie theater has three ticket windows and two computerized...
To be written in C++. A local movie theater has three ticket windows and two computerized ticket kiosks. Some transactions, such as group discounts, can only be done at the ticket windows. An arriving customer looks at the lines, and chooses to stand in the shortest one that can handle his or her transaction. Group sales take four minutes to process. Normal ticket sales take two minutes at a window and three minutes at a kiosk. Internet ticket sales pickups...
Queuing Theory
The price of tickets varies depending on the seat location in the Stadium. These seats are color-coded on a diagram so that the single cashier can show purchasers the diagram, have them decide on their seat, and pay for their ticket. The cashier can complete a transaction (selling a ticket) in 2 minutes. 4 Ticket purchasers arrive at the single cashier booth every 10 minutes. Arrivals follow a Poisson distribution while service time follows an exponential distribution.What is the Utilization...
5. A new shopping mall is considering setting up an information desk manned by one employee....
5. A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. (a) Find the probability that the employee is idle. (b) Find the...
a. The Arctic Flyers minor league hockey team has one box office clerk. On average, each...
a. The Arctic Flyers minor league hockey team has one box office clerk. On average, each customer that comes to see a game can be sold a ticket at a rate of 8 per minute. For regular games, customers arrive at a rate of 5 per minute. Assume arrivals follow the Poisson distribution, and service times follow the exponential distribution What is the average number of customers waiting in line? What is the average time a customer spends in the...
he Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of...
he Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers’ parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don’t get in until after the feature has started.) What is the system waiting time if a second window was opened with each server doing all three tasks?
1. A new shopping mall is considering setting up an information desk manned by one employee....
1. A new shopping mall is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. (a) Find the probability that the employee is idle. (b) Find the proportion of the...
A hair salon is run by two stylists, Darrel and Jill, each capable of serving four...
A hair salon is run by two stylists, Darrel and Jill, each capable of serving four customers per hour, on average. Six customers, on average, arrive at the salon each hour. (Assume Poisson arrivals and exponential service times) a) If all arriving customers wait in a common line for the next available stylist, how long would a customer wait in line, on average, before being served? b) Suppose that 50 percent of the customers want to be served only by...
Customers arrive at a suburban ticket outlet at the rate of 4 per hour on Monday...
Customers arrive at a suburban ticket outlet at the rate of 4 per hour on Monday mornings. This can be described by a Poisson distribution. Selling the tickets and providing general information takes an average of 12 minutes per customer, and varies exponentially. There is 1 ticket agent on duty on Mondays. Determine the System Utilization Question 12 options: .8 1.6 .4 .88 None of the Above Question 13 (1.5 points) Customers arrive at a suburban ticket outlet at the...
A. A Medical Center is seeking the recruitment of a dentist for its outpatient clinic due...
A. A Medical Center is seeking the recruitment of a dentist for its outpatient clinic due to the high demand on dental services in the center. The center's records show that the patients arrive at the outpatient clinic at the rate of 8 per hour. The records also show that it takes an average of 6 minutes to checkup a patient. It is assumed that arrivals follow the Poisson distribution while the checking up times follow the negative exponential distribution....
5. A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. (a) Find the probability that the employee is idle. (b) Find the...
a. The Arctic Flyers minor league hockey team has one box office clerk. On average, each customer that comes to see a game can be sold a ticket at a rate of 8 per minute. For regular games, customers arrive at a rate of 5 per minute. Assume arrivals follow the Poisson distribution, and service times follow the exponential distribution What is the average number of customers waiting in line? What is the average time a customer spends in the...
1. A new shopping mall is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. (a) Find the probability that the employee is idle. (b) Find the proportion of the...
A. A Medical Center is seeking the recruitment of a dentist for its outpatient clinic due to the high demand on dental services in the center. The center's records show that the patients arrive at the outpatient clinic at the rate of 8 per hour. The records also show that it takes an average of 6 minutes to checkup a patient. It is assumed that arrivals follow the Poisson distribution while the checking up times follow the negative exponential distribution....
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago