During the early morning hours, customers arrive at a branch post office at the average rate of 45 per hour (exponent times), while clerks can handle transactions on an average of 4 minutes each (exponential). What is the minimum number of clerks needed to keep the average time in the system under 5 minutes?
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Then the company arranged for large U.S. retailers such as Walgreens, Albertsons, Kroger, and Safeway to accept packages for shipment and receive package delivery for customer pickup in thousands of store locations. This means people who want to send a package can head to a nearby retailer and ship where they shop, rather than making a separate trip to the FedEx location. It’s also a safe alternative for packages to be picked up by people who don’t want FedEx shipments left by the front door. Another service FedEx offers to small and mid-sized businesses, including retailers, is FedEx Fulfillment. The purpose is to expedite order fulfillment by having each business store its products in a FedEx warehouse. Then, when the business’s customers place orders, FedEx puts the products into boxes bearing the business’s own logo and ships directly to those customers. The business doesn’t need a separate warehouse or staff for fulfillment, and packages are on their way to customers more quickly because the products were in FedEx’s warehouse, ready to be packed and shipped. This service puts FedEx into direct competition with Amazon.com, which offers a similar service to merchants that sell through the online Amazon Marketplace. But it also gives businesses that don’t sell via Amazon a fast and professional fulfillment alternative. FedEx is careful to let customers know, through media and social-media announcements, when it anticipates that extreme weather or other conditions will cause delays or force it to halt pickups and deliveries. For the duration of Hurricane Irma, for example, FedEx said it would suspend deliveries in Florida. Some Florida customers who had ordered generators to be delivered via FedEx were unhappy, because they worried about being without power during and after the storm. But one FedEx employee loaded several generator orders into his car and took them to customers himself. When a customer posted a grateful compliment to FedEx on Facebook, the message generated thousands of likes, shares, and positive comments. The company also received positive comments for its donations of cash and transportation services to areas devastated by Hurricanes Irma, Harvey, and Maria. According to the American Customer Satisfaction Index (ACSI), FedEx often tops the list of U.S. shipping companies as ranked by customers surveyed. Every day, the company delivers 13 million packages—and during the busy year-end holiday season, it delivers many more. By meeting customers’ expectations for on-time deliveries, FedEx has increased annual revenues beyond $60 billion and positioned itself for continued growth in the future. How does FedEx’s money-back guarantee address customers’ concerns about heterogeneity?At noon time, customers arrive at Metrobank counter managed by a single cashier with mean arrival rate of 6 customers per hour. The cashier attends the customers on first come first served basis at 10 customers per hour.What is the waiting time of a customer in the queue in hours?People arrive randomly at a bank teller at an average rate of 20 an hour. If the teller takes an average of 1 minute to serve each customer, what is the average number of people in the system
- Partially completed products arrive at a workstation in amanufacturing operation at a mean rate of 40 per hour(Poisson distributed). The processing time at the workstation averages 1.2 minutes per unit (exponentially distributed). The manufacturing company estimates that each unitof in-process inventory at the workstation costs $31 perday (on the average). However, the company can add extraemployees and reduce the processing time to 0.90 minuteper unit at a cost of $52 per day. Determine whether thecompany should continue the present operation or addextra employees.A road transport company has one reservation clerk on duty at a time. He handles information of bus schedules and makes reservations. Customers arrive at a rate of 8 per hour and the clerk can, on an average, serve a customer within 5 minutes. The company estimates that the arrival rate will be Poisson distributed whilst the service time is exponentially distributed. Use the information above to answer question 70 through to 75 70. What is the average number of customers waiting in line to be served? А. 1 В. 1.04 . С. 1.33 D. 2.666 71. What is the average number of customers in the system? А. 2 В. 3 С. 4 D. 5 72. What is the average time a customer has to wait before being served? A. 4 minutes B. 5 minutes C. 8 minutes D. 10 minutes 73. What is the average time a customer spends in the system? A. 0.2 hr B. 0.25 hr С. 12 hrs D. 15 hrs Page 11 of 16 Peu l'ell/ mideam!?/2-19/20 Scanned with CamScanner 74. What is the probability of not finding a customer in the system? A. 0 B. 0.33 C.…The vehicles are entering the parking area of the a mall.There is only one ticket line to get and pay a parkingticket. Each ticket purchase takes an average of 18seconds. The average arrival rate is 3 vehicles/minute.Find the average length of queue, average waiting timein queue and average time spent by the vehicles in thesystem assuming M/M/1 queuing.