Problem 11-6 (Static) Avis Company is a car rental company that is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 2 minutes. The average traveling time (round-trip) is 20 minutes. a. How many Avis buses are traveling to and from the airport? (Do not round Intermediate calculations.) Number of buses b. The branch manager wants to improve the service and suggests dispatching buses every 0.5 minutes. She argues that this will reduce the average traveling time from the airport to the Avis offices to 2.5 minutes. Is she correct? O Yes O No O It depends on the time of day. O There Is Insufficient Information to answer this question
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- Problem 15-31 (Algorithmic) Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone number whereby potential adopters can ask questions about forthcoming texts, request examination copies of texts, and place orders. Currently, two extension lines are used, with two representatives handling the telephone inquiries. Calls occurring when both extension lines are being used receive a busy signal; no waiting is allowed. Each representative can accommodate an average of 10 calls per hour. The arrival rate is 16 calls per hour.Problem 7-13 In an initial survey designed to estimate the percentage of time air-express cargo loaders are idle, an analyst found that loaders were idle in 5 of the 45 observations. a. What is the estimated percentage of idle time? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) Estimated percentage of idle time % b. Based on the initial results, approximately how many observations would you require to estimate the actual percentage of idle time to within 4 percent with a confidence of 95 percent? (Round your z value to 2 decimal places. Do not round any other Intermediate calculations. Round UP your final answer to the next whole number.) Number of observations(10 Points) Eat well is a small drive through fast food restaurant, staffed by anefficient employee John, is located in a super mall area. Customers arrive at thecounter at an average of one every 15 minutes, and the customer arrival followsa Poisson distribution. John takes at most 10 minutes to process each foodorder.a) What is average number of customer being served at any time?b) The expected number of customers waiting to be served.c) Compute the average time customer wait in the system.d) Compute the average time customer wait in the line.e) What percentage of time is John Idle?
- Q1 (Process Analysis) - An MSU startup is contemplating a new process to refurbish and recycle rundown equipments. The five steps to the process are: Step Description 1 Register for the process 2 Strip off bad parts 3 Scrub and clean parts 4 Insert new parts 5 Polish and deliver Time Required per equipment 10.0 minutes 15.0 minutes 8.0 minutes 10.0 minutes 12.0 minutes. One employee will be assigned to each step. Employees will work a 40-hour week (no breaks) and rotate jobs each week. City of Lansing requires 200 refurbished equipments per week but they are unsure that the MSU startup can deliver. a. Create a column chart that displays the cycle time for each of the 5 steps. b. What is the processing rate for each step, in Equipments/Hour? Step 1 2 3 Processing Rate (equipments/hour) 6 4 7.5 4 5 6 5 c. What is the bottleneck? I believe that the bottleneck is Step 2 as that step takes the longest. d. Assuming the process runs as designed, what is the maximum weekly output? Maximum…no handwritten solution Question The management of a busy petrol station is concerned that customers are being lost because of long waiting times sometimes required at their petrol pump. Over a two weeks period a careful study has been taken of the arrival of cars and the length of time taken to serve customers at the petrol station. The tables below show the arrival rates and the service time distribution: Inter arrival time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <2 1 60 60 00 - 59 2 - <4 3 25 85 60 - 84 4 - <6 5 10 95 85 - 94 6 - <8 7 5 100 95 - 99 Service time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <4 2 20 20 00 – 19 4 - <6 5 30 50 20 – 49 6 - <8 7 20 70 50 - 69 8 - <10 9 15 85 70 – 84…QUESTIONS: 1. A refiner in city Q serves four customers near city W and maintains consignment inventory (owned by the refiner) at each location. Currently, the refiner uses TL (truckload) transportation to deliver separately to each customer. Each truck costs $(759) plus $(309) per stop. The refiner is considering aggregating deliveries to city W on a single truck. The demand of the first customer is 75 tons a year, the demand of the second customer is 30 tons per year, and the demand of the third and fourth customers is 10 tons per year. The product cost is $8,000 per ton, and it uses a holding cost of (24)%. The truck capacity is 20 tons. a. What is the optimal delivery policy to each customer if the refiner ships separately to each of them? What is the annual total inventory-related cost? b. What is the optimal delivery policy to each customer if the refiner aggregates shipments to each of the four customers on every truck that goes to city W? What is the annual total…
- Need help with sub question c, d and e.A computing facility has a large computer server dedicated to service on-line applications from users who are scattered about the country. The facility uses an M/M/1 queueing system where the arrival pattern of requests for online applications are random (Poisson distribution with 1 = 4/sec), and the service time provided is random (exponential distribution with µ = 6/sec). Question: 1. What is the probability that the system is idle? 2. Based on grading scale below, what is the [approximate] grade that depicts the utilization of this system? F D A 10 20 30 40 50 60 70 80 90 100 3. There are talks of upgrading the queueing system to M/M/C such that the workload be equally divided between 2 smaller computer servers each with half the service rate of the original machine. Use the Report or summary R-functions to verify the following claims: a. The mean number of [clients] in the queue will not change. Is this claim justified? b. The mean time spend in the system will not change. Is this…1. A multiple channel queuing system with a Poisson arrival rate, and an exponential service time distribution has an average arrival rate of 2.5 customers per hour and an average service time of eighty minutes per customer. A queuing system is described as unstable or overloaded if its utilization rate is greater than, or equal to one. For the system just described, what is the minimum number of servers required to retain stability i.e., to avoid overloading? A. 2 B. 3 C. 1 D. 4
- Problem 2-4 (Algo) A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 5 workers, who together produced an average of 80 carts per hour. Workers receive $12 per hour, and machine cost was $30 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour, while output increased by 5 carts per hour. a. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. (Round your answers to 3 decimal places.) Before After b. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure. (Round your answers to 3 decimal places.) Before After carts per worker per hour carts per worker per hour Labor productivity…1.) M/M/2 Mean Arrival Rate: 20 customers/hour Mean Service Rate: 12 customers/hour Number of Servers: 2 Server wage $20/hour If the server works an 8 hour day, what is the cost of service per day?QUESTION 5 How many ticket vending machines will be needed if the hourly passenger demand is expected to be 8,750 and it takes each passenger 8 seconds to retrieve a ticket? Tickets are mandatory for all passengers. Round up your answer to the nearest integer (i.e. ticket vending machine).