What is the average number of customers waiting

Assignment Help Advanced Statistics

Reference no: EM13334281

The Bijou Theater in Bellevue shows vintage movies. For this problem, the system can be considered the purchasing of the ticket. 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 as well as selling tickets. Because of these added services, many customers don't get in until after the feature has started. Assume that the arrivals follow a Poisson arrival distribution and the service times are exponentially distributed. There is an infinite population and an infinite queue.

a) What is the average time it takes for the customer to enter the theater measured from the time the customer arrives at the theater line to purchase a ticket?

b) What is the average number of customers waiting in line to purchase a ticket?

c) What is the probability that there are at least two others waiting in line to buy a ticket?

d) What would be the effect on the total time it takes for the customer to enter the theater by having a second ticket taker doing nothing but validations and card punching, thereby cutting the average service time to 20 seconds per customer? This ticket taker does not directly wait on any customers but only supports the ticket seller.

e) Suppose the cost of the first ticket taker is $20 per hour while the cost of the second ticket taker is only $10 per hour. Also, suppose the cost of both waiting and buying the tickets (cost of good will and lost customers) is valued at $6 per hour per customer. What is the cost of each option (the single ticket taker and the two ticket taker options) that the theater is considering?

Reference no: EM13334281

Questions Cloud

Explain the dibrominated product was placed in a polarimeter : If a sample of the dibrominated product was placed in a polarimeter, what would be the result

Explain the bromination of trans-cinnamic acid : The hydration of norbornene and the bromination of trans-cinnamic acid are both examples of additions across a double bond. The norbornene reaction work-up involved using a separatory funnel to extract the product while the work-up of the brominat..

How much would you have to invest today at annual interest : (Monthly compounding) How much would you have to invest today at 12% annual interest, compounded monthly, in order to end up with $1,000 in your investment account at the end of 12 months?

How you take care of these missed values : For the assignment, assume that the sensed data are be generated randomly either by a random number generator in your program or read a triplet every time from a file which is pre@generated).

What is the average number of customers waiting : What is the average time it takes for the customer to enter the theater measured from the time the customer arrives at the theater line to purchase a ticket and what is the average number of customers waiting in line to purchase a ticket?

Explain what is the magnitude of the partial positive : What is the magnitude of the partial positive and partial negative charges in the HBr molecule? (1D = 3.36 × 10-30 C m; 1e- = 1.6022 × 10-19 C; bond length HBr = 1.41 angstroms; Dipole Moment HBr = 0.82D)

Estimate the internal resistance of the battery : A 6.00V lantern battery is connected to a 11.1OMEGA lightbulb, and the resulting current in the circuit is 0.388A. What is the internal resistance of the battery

Briefly discuss the history and purpose of the big mac inde : •Briefly discuss the history and purpose of the Big Mac Index. Where is it most expensive to buy a Big Mac? Where is it the least expensive to buy a Big Mac? .

Prepare and provide the appropriate control chart : Calculate the 2σ (sigma) control limits. The centerline should be based on the data from these 15 days. All calculations should be to three decimal places

User Account

All Pages