1. In a wedding dress boutique, on average, 5 customers arrive per hour, with each customer trying on dresses for 2 hours. What is the average number of customers in the store at any given time?
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- The following data has been collected on the number of customers seen to arriveto a museum in a succession of 5-minute intervals: 5, 1, 3, 7, 5, 5, 6, 7, 5, 7, 4, 8, 1,5, 2, 3, and 5. Estimate the squared coefficient of variation of the arrival process. Ifthis data was known to come from a Poisson process, what would be your estimateof l, the rate of customer arrivals?If the restaurant runs a sale and the customer arrival rate increases by 20 percent how would this change the total time expected to serve a customer? How would this change the average number of cars in the drive-thru line?Consider a bank with two tellers. An average of 2 customers per hour arrive at the bank and wait in a single línea for an idle teller. The average time it takes to serve a customer is triangular (x1=1, y1=0), (x2=4, y2=2/3) Assume that inter-arrival times and services time is exponential. Develop the service (ST) equation? a. Y=2x-22/6B. Y=2x-22/3C. Y=22/3x-2/3D. Y=2x-3/22
- The check-out area of a grocery store has the average customer interarrival time = 2 minutes, the average processing time of each cashier = 6 minutes, and in total 4 cashiers. The average waiting time for each customer is 8 minutes. What is the average number of customers in the system (including waiting and using the service)? a 3 b 7 c 6 d 443) Tax Advisor A tax advisor is able to serve 5 customers per hour on a walk-in basis. An average of 3 customers arrive at the advisor's desk each hour for this service. How many minutes per hour does the advisor have to handle other tasks (not meeting with customers)? Group of answer choices a) 15 minutes b) 4 minutes c) 40 minutes d) 36 minutes e) 24 minutes f) 12 minutes 44) Tax Advisor The tax advisor would like to calculate the probability that more than 1 customer will arrive in the next hour. Which of the following calculations will provide that answer? Group of answer choices a) P(X=0) + P(X=1) b) P(X=1) c) 1.0 - [P(X=0) + P(X=1)] d) 1.0 - P(X=0) e) 1.0 - P(X=1)Fantasy Park has two service desks, one at each entrance of the park. Customers arrive at each service desk at an average of one every six minutes. The service rate at each service desk is four minutes per customer.
- 1. A tool crib has exponential interarrival and service times and serves a very large group of mechanics. The mean time between arrivals is 4 minutes. It takes 3 minutes on the average for a tool-crib attendant to service a mechanic. The attendant is paid $10 per hour and the mechanic is paid $15 per hour. Would it be advisable to have a second tool-crib attendant?Fantastic styling salon is run by three stylists, each capable of serving five customers per hour, on average. If all customers wait in a common line for the next available stylist, how long would a customer wait in line, on average before being servedThe store opens at 8 am. Customers will arrive at Poisson rate λ = 10 per hour. (i) At what time do you expect the first customer to arrive? (ii) Given that the second customer arrived after 8.10 am, what is the expected arrival time of the first customer? (iii) After serving the third customer, the sales clerk takes a 10-minute break at 8.20 am. Upon his/return, he finds that the fourth customer has arrived. What is the probability that the customer has been waiting for more than 3 minutes?
- Consider the baggage check-in process of a small airline. Check-in data indicate thatfrom 9 a.m. to 10 a.m., 240 passengers checked in. Moreover, based on counting thenumber of passengers waiting in line, airport management found that the average number of passengers waiting for check-in was 30. How long did the average passenger haveto wait in line?Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 - 11:30): arrival 1 = 47 per hour. %3D Lunch (11:30 - 1:30): arrival 2 = 70 per hour. Afternoon (1:30 - 4:00): arrival 3 = 30 per hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 3.17 minutes. Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 4 minutes. With that in mind, answer the following: a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 4-minute service goal mentioned above? [ Select] b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 4 minute service goal mentioned above? [ Select ] c. In the afternoon, what is the minimum number of tellers that the bankWorkers arrive at a tool crib at a rate of 30 per hour. Clerks who are employed to hand out the tools, can each serve 9 customers per hour & they earn $12 per hour, while workers make $30 per hour. What is the optimal number of clerks & what are the associated costs?