Under ideal conditions, a service bay at a Fast Lube can serve 7 cars per hour The effective capacity of a Fast Lube service bay is 60 cars per hour, with efficiency known to be 0 85 The minimum number of service bays Fast Lube needs to achieve an anticipated production of 150 cars per 8-hour day =service bays (enter your response rounded up to the next whole number)
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- Knott’s Industries manufactures standard and super premium backyard swing sets. Currently it has four identical swing-set-making machines, which are operated 250 days per year and 8 hours each day. A capacity cushion of 20 percent is desired. The following information is also known: Standard Model Super PremiumModel Annual Demand Standard Processing Time Average Lot Size Standard Setup Time per Lot 20,000 7 min 50 30 min 10,000 20 min 30 45 min a. Does Knott’s have sufficient capacity to meet annual demand?b. If Knott’s was able to reduce the setup time for the Super Premium Model from 45 minutes to 30 minutes, would there be enough current capacity to produce 20,000 units of each type of swing set?RideShare offers short-term rentals of vehicles that are kept in small lots in urbanneighborhoods with plenty of potential customers. With one lot, it has eight cars. Theinterarrival time of potential demand for this lot from its base of customers is 40 minutes.The average rental period is five hours. If a customer checks availability of vehicles in thislot online and finds that they are all rented for the desired time, the customer skips rentingand finds alternative arrangements. However, because customers pay a monthly fee tosubscribe to this service, RideShare does not want customers to be disappointed too often.a. What is the offered load?b. What is the implied utilization?c. What is the capacity of the process (rentals per hour)?d. What is the probability that all eight cars are rented at the same time?e. How many customers are served every hour?f. What is the utilization of the cars?g. How many cars should it have in this lot to ensure that it serves at least 90 percent ofdemand?A Printed Circuit Board (PCB) machine installs integrated circuits onto a board. Before starting to produce a board, the PCB machine requires a 16-minute setup. Once in production, the PCB machine requires only 0.19 minute per board. a. Currently, the PCB machine produces 525 boards between setups. Given this operating process, what is the capacity of the PCB machine (in boards per min)? b. Currently, the PCB machine produces 525 boards between setups. Given this operating process, what is the utilization of the PCB machine? c. Say the PCB machine produces 400 boards s between setups and demand is 2 boards per minute. Given the operating process, what is the avergae inventory of boards anf the PCB machine? d. Demand for boards occurs at the rate of 2 boards per minute. What is the smallest batch size such that the PCB machine does not constrain the flow rate through the process?
- 5. Under ideal conditions, a service bay at a Fast Lube can serve 8 cars per hour. The effective capacity of a Fast Lube service bay is 5.7 cars per hour, with efficiency known to be 0.85. The minimum number of service bays Fast Lube needs to achieve an anticipated production of 150 cars per 8-hour day = 3.93.9 service bays ( __________ ).Cakes baked by the Freshfood Bakery are transported fromthe ovens to be packaged by one of three wrappers. Eachwrapper can wrap an average of 120 cakes per hour (Poissondistributed). The cakes are brought to the wrappers at therate of 300 per hour (Poisson distributed). If a cake sitslonger than 5 minutes before being wrapped, it will not befresh enough to meet the bakery’s quality control standards.Does the bakery need to hire another wrapper?At Susie's Dress Manufacturing, the company's garment production lines produces 600 dresses in a day. The standard allowed minutes (SAM) for a single dress is 30 minutes. They employ 50 operators, who work 8 hours a day (lunch/break has been already accounted for). What is the total available maximum output at Susie's daily in minutes? Group of answer choices 22,000 min 24,000 min 26,000 none of the above
- The Universal Manufacturing Company produces a par-ticular product in an assembly-line operation. One of the machines on the line is a drill press that has a single as-sembly line feeding into it. A partially completed unit ar-rives at the press to be worked on every 8 minutes, on average, according to an exponential distribution. Themachine operator can process an average of 10 parts perhour (Poisson distributed). Determine the average numberof parts waiting to be worked on, the percentage of timethe operator is working, and the percentage of time themachine is idle.The average waiting time of customers over 10 replications obtained from a termination simulation model is shown below Replication / Average waiting time 1 / 3.90 2 / 1.18 3 / 4.88 4 / 4.21 5 / 1.83 6 / 3.77 7 / 1.7 8 / 2.92 9 / 2.39 10 / 2.70 Use alpha = 0.05 for following questions, if needed a) what is the minimum number of sample size required, if the error criterion is 0.75?This problem illustrates balking. The Oryo Cookie IceCream Shop in Dunkirk Square has three competitors. Sincepeople don’t like to wait in long lines for ice cream, thearrival rate to the Oryo Cookie Ice Cream Shop depends onthe number of people in the shop. More specifically, whilej 4 customers are present in the Oryo shop, customersarrive at a rate of (20 5j) customers per hour. If more than4 people are in the Oryo shop, the arrival rate is zero. Foreach customer, revenues less raw material costs are 50¢.Each server is paid $3 per hour. A server can serve anaverage of 10 customers per hour. To maximize expectedprofits (revenues less raw material and labor costs), howmany servers should Oryo hire? Assume that interarrivaland service times are exponential.
- Uberya Towing Services repair vehicles that break down at an average 8 vehicles per day. The mechanic crew can service an average of 11 vehicles per day. How many vehicles are likely to be in the system at any one time? The crew cost is approximately Php 900 per day. The cost associated with lost productivity from the breakdown is estimated at Php500 per vehicle per day. if an additional Service crew is added, What is the Expected or Total Cost (Waiting +Service Cost)?In a job shop, effective capacity is only 88 percent of design capacity, and actual output is 69 percent of effective output. What design capacity would be needed to achieve an actual output of 11 jobs per week? What is its effective capacity?a. The Design Capacity needed to achieve the required actual job outputs =( ) (round to whole number)b. The Effective Capacity needed to achieve the required actual job outputs =( ) (round to whole number)A bank has 1 enquiries staff and six tellers. Customers enter the system and walk up to the enquires counter for the enquiries queue or they go to the tellers station where they join a single queue for the 6 tellers.The arrival rate at the enquiry counter, lambda 8 customers per hour and the service rate at the enquiry counter, Mu 6 minutes per customer. The arrival rate at the tellers’stations, lambda 10 clients per hour and the service rate at the tellerstations, Mu 4 minutes per client. Find the total time customers spend at the bank