Note: -You are attempling question 7 out of 12The Decision Sciences Department is trying to determine whether to rent a slow or a fastcopier. The department believes that an employee's time is worth $15 per hour. The slowcopier rents for $4 per hour, and it takes an employee an average of 10 minutes tocomplete copying. The fast copier rents for $15 per hour, and it takes an employee anaverage of six minutes to complete copying. On average, fouremployees per hour need touse the copying machine. (Assumne the copying times and interarrival times to thecopying machine are exponentially distributed.) Which mạchine should the departmentrent to minimize expected total cost per hour?A)B)C)D)Worst to slow copier.Better to sloW copier.Worst to fäst copier.Better to slowW copier.Answer

It is a question of Queueing optimization problem. The main goal of the department is to maximize…

Answered: The Decision Sciences Department is…

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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Two methods are used to predict how many customers will call in for help in the next four days. The first method predicts the numbers of callers to be 23, 5, 14, and 20 for the four respective days. The second method predicts 20, 13, 14, and 20 for the four respective days. The actual numbers of callers turn out to be 23, 10, 15, and 19. Which method has the smaller mean absolute error (MAE)? Multiple Choice The first method The second method Cannot be determined Both methods have the same MAE
A manager is simulating the number of times a machine operator stops a machine to make adjustments. After careful study the manager found that the number of stops ranged from one to five per cycle and that each number of stops was equally likely. Using the random numbers 0.17 and 0.47 (in that order), determine how many stops for adjustments each of the next two cycles will have. The first cycle will have stops and the second cycle will have stops.
A company has tool cribs where workers draw parts. Two workers have applied for the position of distributing parts to the other workers. Adriana is fresh out of trade school and expects $5 per hour. Her average service time is four minutes. Braxton is a veteran who expects $11 per hour. His average service time is two minutes. A worker's time is figured at $11 per hour. Workers arrive to draw parts at an average rate of 13 per hour. (a) What is the average time a worker would spend in the system under each applicant? (Give your answers in minutes. Round your answers to three decimal places.) minutes on average in the system. Under Braxton, a worker would spend minutes on average in the Under Adriana, a worker would spend system. (b) Which applicant should be hired? (Give your answers in dollars per hour. Round your answers to two decimal places.) The total cost under Adriana would be $ per hour, and the total cost under Braxton would be $ times into account, Braxton should be hired.…
Ashley’s department store in Kansas City maintains a successful catalog sales department in which four clerk takes orders by telephone. If four clerks are occupied on four-lines, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party that has waited for the longest is transferred and answered first. Calls come in an average of 3 minutes. The clerk is capable of taking an order in an average of 10 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. a. λ= μ= b. Calculate P0 c. How many callers, on average, are waiting to place an order under the current operating system?
Based on Kolesar et al. (1974), Metropolis PD Precinct 88 must determine the minimum number of police cars required to meet its needs for the next 24 hours. An average call for service requires 30minutes. The number of calls the police department expects to receive during each hour is shown in the file P12_61.xlsx. The Metropolis PD standard of service is that there should be a 90% chance that a car is avail-able to respond to a call. For each of the following,discuss how you might find a solution.a. Suppose that patrol officer teams assigned to a car work an 8-hour shift beginning at 12 a.m., 8 a.m., or 4 p.m. Officers get an hour off for a meal. This hour can be anytime between the second and fifthhour of their shift. The precinct wants to know how many teams are needed to meet daily demand.b. Suppose that patrol officer teams assigned to a car begin their 8-hour shifts at 12 a.m., 8 a.m., 12 p.m., 4 p.m., and 8 p.m. An hour off for meals may be taken anytime during a shift. The…
Suppose that the city government is considering a law that requires everyone to have at least three people per vehicle while driving during rush hour. In debating the plan, the mayor says the law will generate benefits in terms of cleaner air and less traffic congestion. The mayor acknowledges that there might also be costs involved with the law, but states that these might actually be negative because car owners will experience less wear-and-tear on their automobiles, and hence spend less money on repairs. Comment on the mayor's reasoning. How would you determine if the proposed requirement on carpooling is a good idea?
55. The mail order firm of L. L. Pea receives an averageof 200 calls per hour, where times between calls areexponentially distributed. It takes an L. L. Pea operatoran average of three minutes to handle a call. If a callergets a busy signal, L. L. Pea assumes that he or she willcall a competing mail-order company, and L. L. Pea willlose an average of $30 in profit. The cost of keeping aphone line open is $9 per hour. How many operatorsshould L. L. Pea have on duty? Use simulation to answerthis question. Does the answer depend on whether theservice times are exponentially distributed?
What are three instances of simulations of discrete events?
Consider the following data: observed time/unit = 6 minutes Performed Rating = 110% Allowance = 25% of normal time shift duration = 6hours Calculate the standard outputs/shift 2) An employee processes 6 insurance policies/day. The company employs 4 employees,each working 8 hours/day.Employee wage/day=620 dollar and daily overhead expanse = 480 dollar.The company is now considering a purchase of new technology which will enable each employee to process 9 insurance policies/day with an increase of 65 dollars in the daily overhead expanse.The company is aiming for at least 30 percent increase in both labor and multifactor productivity after this purchase.Should the company go for this purchase?
Consider the case of Conrad's Cookie Company, where he and two of his friends (Jared and Jack) are working to make and sell cookies. They have just one oven and can bake up to two dozen cookies at a time. The oven can bake two dozen cookies simultaneously (of similar or different ingredients) or one dozen only. If one dozen is baking in the oven, baking time will not be any different from baking two dozen simultaneously. The sequence of baking steps and respective durations are below. Mixing and Spooning (together) 3 mins/dozen Loading 1 minutte/dozen. Baking 8 mins. baking time for one or two dozens. Cooling 6 minutes Packing 5 mins/dozen cookies Payment (to be done after packing only) 1 minute per order If all orders are 4 dozen cookies, a) What is the best way to assign Conrad and his friends to jobs in order to maximize capacity? Find highest theoretical capacity and bottleneck of the process. b) Once system warms up, is the capacity the same…
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?
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 4 workers, who produced an average of 87 carts per hour. Workers receive $13 per hour, and machine coast was $32 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $18 per hour while output increased by four carts per hour.a) Compute the multifactor productivity (MFP) (labor plus equipment) under the Prior to buying the new equipment. The MFP (carts/$) = ( ) (round to 4 decimal places).b) Compute the % growth in productivity between the Prior to and after buying the new equipment. The growth in productivity = ( ) % (round to 2 decimal places)

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