University Sports Center reception desk registers on average 650 visitors on a regular day (from 7am to 10pm), of which on average 300 are during peak hours from 5pm till 7pm. Each visitor spends on average 45 minutes in the Sports Center. 1. How many visitors are on average in the Sports Center? 2. How many visitors are on average in the Sports Center during the peak hours?
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- Lenny, a graduate research assistant "moonlights" at the short order counter in the student union snack bar in the evenings. He is the only one on duty at the counter during the hours he works. Arrivals to the counter seem to follow the Poisson Distribution with a mean of 8 per hour. Each customer is served one at a time and the service time follows an exponential distribution with a mean of 5 minutes. How long will a student wait in line, on average?The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests,and then load passengers. Cabs arrive at the hotel every 8 minutes; if a taxi drives by the hoteland the line is full, it must drive on. Hotel guests require a taxi every 5 minutes, on average. Ittakes a cab driver an average of 3.5 minutes to load passengers and luggage and leave the hotel(exponentially distributed). What is the average time a cab must wait for a fare?Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.9 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. If required, round your answers to four decimal places. Lq = fill in the blank 1 L = fill in the blank 2 Wq = fill in the blank 3 hours W = fill in the blank 4 hours Pw = fill in the blank 5 Service goals dictate that an arriving customer should not wait for service more than an average of 6 minutes. Is this goal being met? If not, what action do you recommend? If the consultant can reduce the average time spent per customer to 8 minutes, what is the mean service rate? If required, round your answer to one…
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- Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.1 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. Agan's management would like to evaluate two alternatives: Use one consultant with an average service time of 8 minutes per customer. Expand to two consultants, each of whom has an average service time of 10 minutes per customer. If the consultants are paid $18 per hour and the customer waiting time is valued at $26 per hour for waiting time prior to service, should Agan expand to the two-consultant system? - No What is the total cost for each scenario? Round your answers to the nearest cent. The total cost for the first scenario where there is one consultant with an average service time of 8 minutes per customer is $____________. The total cost for the second scenario where there are two consultants with an average service time of 10…Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.7 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. Agan's management would like to evaluate two alternatives: Use one consultant with an average service time of 8 minutes per customer. Expand to two consultants, each of whom has an average service time of 10 minutes per customer. If the consultants are paid $19 per hour and the customer waiting time is valued at $29 per hour for waiting time prior to service, should Agan expand to the two-consultant system? No What is the total cost for each scenario? Round your answers to the nearest cent. The total cost for the first scenario where there is one consultant with an average service time of 8 minutes per customer is $ fill in the blank 2 . The total cost for the second scenario where there are two consultants with an average service time of…Customers enter the camera department of a store at the average rate of six per hour. The department is staffed by one employee, who takes an average of six minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. a. As a casual observer, how many people would you expect to see in the camera de- partment (excluding the clerk)? How long would a customer expect to spend in the camera department (total time)? b. What is the utilization of the clerk? c. What is the probability that there are more than two people in the camera department (excluding the clerk)? d. Another clerk has been hired for the camera department who also takes an average of six minutes to serve each arrival. How long would a customer expect to spend in the department now?
- A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the interarrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with a standard deviation of service times being 45 minutes. 1.What is the demand for SLC Barber shop in [customer/minute]? 2.What is the average waiting time of a customer in minutes?A supermarket manager notices that there are 20 customers at the checkouts andalso knows that arrivals to the checkout at that time of day are at a rate of abouttwo per minute. About how long are customers spending in the checkout process(queueing and being served) on average?Seattle's Top Coffee owns and operates a chain of popular coffee stands that serve over 30 different coffee-based beverages. The constraint at the coffee stands is the amount of time required to fill an order, which can be considerable for the more complex beverages. Sales are often lost because customers leave after seeing a long waiting line to place an order. Careful analysis of the company's existing products has revealed that the opportunity cost of order filling time is $2.70 per minute. The company is considering introducing a new product, praline cappuccino, to be made with pecan extract and molasses. The variable cost of the standard size praline cappuccino would be $0.30 and the time required to fill an order for the beverage would be 40 seconds Required: What is the minimum acceptable selling price for the new praline cappuccino product?