Blue Lotus is a bike shop located near a beach resort, which rents its bikes toguests staying in the resort. When a customer requests to rent a bike and nobikes are available (they are either with another customers or being cleaned forrental), customer waits until a bike is available. Once a bike rented out to acustomer, the customer keeps it for an average of 1 day. Upon return, the bike iscleaned and tuned-up, which takes half a day (0.5 day).Suppose Blue Lotus has 7 bikes, and demand for bike rental is 4.1 per day. Whatis the average amount of time a customer waits to receive a bike?(Hint: From the perspective of customer waiting time, 0.5 day of cleaning time wouldbe part of the processing time" so, p = 1+0.5 =1.5 days. Assume CVa = CVp = 1 inyour calculations).O 1.197 daysO2.134 daysO 0.761 daysO 5.380 days

Queuing theory is one of the popular concepts of operations management that studies how queues…

Answered: Blue Lotus is a bike shop located near…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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An average of 1200 parts arrive to the EP chamber during an 8-hour workday. Each part goes through two stages of processing. At each stage, a single product is processed at a time, and processing takes an average of 15 seconds at the first station and 12 seconds at the second station. Inter-arrival times and service times are exponentially distributed. At the end of the second step, the product goes through a quality check. 5% of the parts fail the quality check and are sent back to the second stage of service. Parts exit the system only after they pass the quality check. Ignoring the time required to perform the quality check or in moving the part through the facility, what is the average cycle time for parts?
A customer has brought a computer in to be repaired. He said he thinks that the sound card has stopped working because no audio is produced when music, video, or DVDs are played.
STAR Co. provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill. STAR receives 100-feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The demands for these widths vary from week to week. The following cutting patterns have been established. 12-ft 15-ft 30-ft Trim Loss (ft) Min s.t. 12-f Pattern Number 15-1 1 30-1 2 3 4 5 0 D 8 3 7 6 0 0 0 1 0 3 0 2 0 10 Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 3(12)+ 0(15) + 2(30) 96 feet used results in 100-96-4 foot of trim loss). Orders in hand for the coming week are 5,660 12- foot rolls, 1,690 15-foot rolls, and 3,340 30-foot rolls. Any of the three types of rolls produced in excess of the orders in hand will be sold on the open market at the selling price. No inventory is held. 10 (a) Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the five…
A machine is set to pump cleanser into a process at the rate of 5 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 5.0 to 8.0 gallons per minute. Would you expect the machine to pump more than 7.85 gallons per minute?
In a manufacturing process, 10% of the produced units are defective. If the process produces 1000 units per hour, how many defective units are produced in a day (8 hours of operation)?
It takes a service rep an average of 1.5 minutes to take a customer's information. Over the course of a workday, the rep handles 150 calls a day during her eight-hour shift. The service rep's utilization (in %) is %. (Enter your response rounded to one decimal place)
Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 3 minutes. When taking off, the run time of an airplane on the runway is 33 seconds. Planes are on average waiting 6 minutes and 48 seconds for takeoff. On average there are 16 planes taking off per hour. How many planes are either on the runway or waiting to take off? Round your answer to 2 decimal places.
There is a 4 percent error rate at a specific point in a production process. If an inspector is placed at this point, all the defects can be detected and eliminated. The inspector would cost $9 per hour and could inspect units in the process at the current production rate of 46 per hour. If no inspector is hired and defects are allowed to pass this point, there is a cost of $10 per defective unit to correct the defects later on. Assume that the line will operate at the same rate (i.e., the current production rate) regardless of whether the inspector is hired or not. a. if the inspector is hired, what will be the inspection cost per unit? b. if an inspector is not hired, what will be the defective cost per unit? c. should an inspector be hired based on costs alone?
A rigid tank whose volume is 10 L contains 1 kg of water at 0.1 MPa pressure. The tank is now heated until the pressure is 20 MPa. Determine the amount of heat transfer for this process. Neglect kinetic and potential energy changes.
Patients walk in to a doctor’s office every 63 minutes with a standard deviation of 32 minutes on the average. The average examination time is 37 minutes with 32 minutes standard deviation. A patient spends in doctor’s office ______ min on average?
Output from a process contains 0.02 defective unit. Defective units that go undetected into final assemblies cost $25 each to replace. An inspection process, which would detect and remove all defectives, can be established to test these units. However, the inspector, who can test 20 units per hour, is paid $8 per hour, including fringe benefits. Should an inspection station be established to test all units? Assume that the line will operate at the same rate (i.e., the current production rate) regardless of whether or not the inspection operation is added. a-1. Without the inspector, what is the current hourly cost of defects? a-2. Should an inspection station be established to test all units based on costs alone? multiple choice Yes No a-3. If the inspection operation is added, what would be the cost to inspect each unit? Note: Round your answer to 2 decimal places. b. What would be the benefit (or loss) from establishing the inspection process? Note: Round your answer…
Suppose that 2000 students enter (and later leave) a classroom building over the 20 hours in which it is open. On average, there are 200 students in the building. Assuming the classroom building is operating in steady-state, which of the following statements are true? (Please tell me why C could be a right answer) A. The number of students in the building is 100, on average. B. Students spend an average of 120 minutes in the building. C. The arrival rate at the building is 83.33 students per hour. D. The building must have at least 5 classrooms. E. None of the answers are correct.

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