Practical Management Science, Loose-leaf Version
5th Edition
ISBN: 9781305631540
Author: WINSTON, Wayne L.; Albright, S. Christian
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4, Problem 114P
Summary Introduction
To develop: A work
Linear programming:
It is a mathematical modeling procedure where a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Denmark Corporation sells computer equipment to businesses in the western region of the United States. Each month, the IT division at Demark Corporation prints monthly statements and sends them to the accounts receivable (AR) department, where
a clerk mails them to the customers. This corporation's customers mail their payments back to Denmark, where a clerk in AR batches the checks and sends them to the cashier. The AR clerk then uses the payment stub to enter the payments into the
computer, where the AR master data are updated to record the payment. Please use this to complete the diagrams and charts below. Please use excel or word for the diagrams.
Problem 1. Please create a table of entities and activities
Problem 2. Draw a context diagram to support the entities in problem 1.
Problem 3. Draw a physical DFD. Please use MS products i.e. word or excel to create this diagram
A bank is trying to determine which of two machines to rent for check processing. Machine 1 rents for $10,000 per year and processes 1000 checks per hour. Machine 2 rents for $15,000 per year and processes 1600 checks per hour. Assume that machines work eight hours a day, five days a week, 50 weeks a year. The bank must process an average of 800 checks per hour, and the average check processed is for $100. Assume an annual interest rate of 20%. Then determine the cost to the bank (in lost interest) for each hour that a check spends waiting for and undergoing processing. Assuming that interarrival times and service times are exponentially distributed, which machine should the bank rent?
During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.
Chapter 4 Solutions
Practical Management Science, Loose-leaf Version
Ch. 4.2 - Prob. 1PCh. 4.2 - Prob. 2PCh. 4.2 - Prob. 3PCh. 4.2 - Prob. 4PCh. 4.2 - Prob. 5PCh. 4.2 - Prob. 6PCh. 4.3 - Prob. 7PCh. 4.3 - Prob. 8PCh. 4.3 - Prob. 9PCh. 4.3 - Prob. 10P
Ch. 4.3 - Prob. 11PCh. 4.3 - Prob. 12PCh. 4.4 - Prob. 13PCh. 4.4 - Prob. 14PCh. 4.4 - Prob. 15PCh. 4.4 - Prob. 16PCh. 4.4 - Prob. 17PCh. 4.4 - Prob. 18PCh. 4.4 - Prob. 19PCh. 4.5 - Prob. 20PCh. 4.5 - Prob. 21PCh. 4.5 - Prob. 22PCh. 4.5 - Prob. 23PCh. 4.5 - Prob. 24PCh. 4.5 - Prob. 25PCh. 4.6 - Prob. 26PCh. 4.6 - Prob. 27PCh. 4.6 - Prob. 28PCh. 4.6 - Prob. 29PCh. 4.7 - Prob. 30PCh. 4.7 - Prob. 31PCh. 4.7 - Prob. 32PCh. 4.7 - Prob. 33PCh. 4.7 - Prob. 34PCh. 4.7 - Prob. 35PCh. 4.7 - Prob. 36PCh. 4.7 - Prob. 37PCh. 4.7 - Prob. 38PCh. 4.7 - Prob. 39PCh. 4.7 - Prob. 40PCh. 4.8 - Prob. 41PCh. 4.8 - Prob. 42PCh. 4.8 - Prob. 43PCh. 4.8 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - Prob. 73PCh. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - Prob. 83PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - Prob. 88PCh. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Prob. 93PCh. 4 - Prob. 94PCh. 4 - Prob. 95PCh. 4 - Prob. 96PCh. 4 - Prob. 97PCh. 4 - Prob. 98PCh. 4 - Prob. 99PCh. 4 - Prob. 100PCh. 4 - Prob. 101PCh. 4 - Prob. 102PCh. 4 - Prob. 103PCh. 4 - Prob. 104PCh. 4 - Prob. 105PCh. 4 - Prob. 106PCh. 4 - Prob. 107PCh. 4 - Prob. 108PCh. 4 - Prob. 109PCh. 4 - Prob. 110PCh. 4 - Prob. 111PCh. 4 - Prob. 112PCh. 4 - Prob. 113PCh. 4 - Prob. 114PCh. 4 - Prob. 115PCh. 4 - Prob. 116PCh. 4 - Prob. 117PCh. 4 - Prob. 118PCh. 4 - Prob. 119PCh. 4 - Prob. 120PCh. 4 - Prob. 121PCh. 4 - Prob. 122PCh. 4 - Prob. 123PCh. 4 - Prob. 124PCh. 4 - Prob. 125PCh. 4 - Prob. 126PCh. 4 - Prob. 127PCh. 4 - Prob. 128PCh. 4 - Prob. 129PCh. 4 - Prob. 130PCh. 4 - Prob. 131PCh. 4 - Prob. 132PCh. 4 - Prob. 133PCh. 4 - Prob. 134PCh. 4 - Prob. 135P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Approximately 40 percent of a medical clinic’s weekly incoming calls for doctors’ appointments occur on Monday. Due to this large workload, 20 percent of the callers receive a busy signal and have to call back later. The clinic has one clerk for each two departments to handle incoming calls. Each clerk handles calls for the same departments all week and thus is familiar with the doctors’ hours, scheduling practices, and idiosyncrasies. Consider the following alternatives to solve thi problem: ∙ Continue the present system, which results in some customer inconvenience, loss of business, and perceived poor service. About 1000 patients attempt to call the clinic on Mondays. The clinic has 50,000 patients in all. ∙ Expand the phone lines and add more people to handle the peak load. The estimated cost for adding two more lines and two clerks is $60,000 per year. ∙ Install a computer to speed up appointments. In this case, the peak load could be handled with the current personnel. The…arrow_forwardA manufacturing facility stores spare parts for maintenance in a storage facility. Throughout theworking day, manufacturing personnel go to the storage facility to pick up supplies needed for theirjobs. The storage facility employees receive a request for supplies, on average, every five minutes fromthe manufacturing personnel. The average request requires 3.2 minutes to fill a request. Manufacturingpersonnel are paid $29.50 per hour and storage facility employees are paid $18.75 per hour. The storagefacility operates 8 hours per day. Base your costs on an 8-hour workday, the given arrival and servicerates, and the fact that when the manufacturing personnel are at the storage site picking up parts – theyare unable to complete their normal job in manufacturing.a) What is the system cost per day (to the nearest $) if there is only 1 storage facility employeeworking?b) What is the system cost per day (to the nearest $) if there are 2 storage facility employeesworking?c) What is the system…arrow_forwardPepsiCo sells its soft drinks in approximately 400,000 retail establishments, such as supermarkets, discount stores, and convenience stores. Sales representatives call on each retail account weekly, which means each account is called on by a sales rep 52 times per year. The average length of a sales call is 75 minutes (or 1.25 hours). An average salesperson works 2,000 hours per year (50 weeks per year * 40 hours perweek), but each spends 10 hours a week on nonselling activities, such as administrative tasks and travel. How many salespeople does PepsiCo need?arrow_forward
- An emergency room (ER) at a Prisma Health Hospital has 10 total beds it can hold patients, i.e., the capacity of the queueing system of this ER is 10. Patients arrive to the ER at a rate of 5 per hour. Therefore, we have that λn = 6 for n = 0, 1, . . . , 9 and λ10 = 0 for this queueing system. A patient is seen by an ER doctor as the ‘service’ of this queueing system. The amount of time required for an ER doctor to treat a patient is exponentially distributed with a mean of .4 hours. We seek the minimum number of ER doctors so that the expected time of a patient waiting to be seen (so the Wq) is less than or equal to 15 minutes (.25 hours). You should begin by analyzing s = 1 and show any calculations that were used to determine Wq for each number of servers that you considered until you meet the target metric.arrow_forwardBased 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…arrow_forwardmoney borrowed for personal reasons; to be repaid within a specific time frame and with added interest money borrowed for the purchase of real estate; to be repaid within a specific time frame and with added interest money borrowed for business reasons; to be repaid within a specific time frame and with added interest money borrowed for the purchase of a vehicle; to be repaid within a specific time frame and with added interest : Business Loan :: Auto Loan :: Mortgage Loan :: Personal Loan 1 4 6. 8. 9. Finish Siarrow_forward
- A call center employs 1,425 agents. Every month 57 employees leave the company and 57 new employees are hired. a. How long on average does an agent work for this call center (in months) Suppose the cost of hiring and training a new agent is $1,140. The manager of this call center believes that increasing agents’ salaries would keep them working longer at the company. The manager wants to increase the average time that an agent works for the call center to 36 months, or three years. b-1. Given the current average working time for agents at this call center, determine the current annual cost for hiring and training. b-2. Assuming the average time that an agent works for the call center is increased to 36 months, determine the new annual cost for hiring and training. b-3. If the time an agent works for the call center is increased to 36 months on average, how much could the company save on hiring and training costs over a year?arrow_forwardA roller coaster is being designed for a new theme park. Two "trains" are on the track at any given time. One train is being unloaded/reloaded while the other is moving along the track. The track itself takes 10 minutes to complete. The train being loaded should depart before the arriving train is no closer than one minute away. Each car of a train accommodates four people. Loading a car is estimated to take 6 seconds per passenger. Unloading is estimated to take 6 seconds per passenger. Suppose that (unlike actual roller coasters), only one car can be loaded or unloaded at a time. Unloading can NOT occur at the same time as loading. In order to maximize the number of potential passengers, how many cars should the train be made up of? Round your answer to the nearest whole car.arrow_forwardThe Cove is a midsized furniture store. Sales staff are assigned standard shifts (1st shift usually takes place between the hours of 9 a.m. and 5 p.m. 2nd shift is worked between 5 p.m. and 1 a.m. 3rd shift typically takes place between the hours of 12 a.m. and 8 a.m.), and the number of customers arriving per shift averages 40, Poisson distributed. A salesperson can deal with one customer in 5 minutes on average and costs the company $100 per shift in salaries and fringe benefits. Service times closely follow an exponential distribution. The manager is reviewing the number of salespersons to schedule for each shift. The cost of customers waiting before they receive service has been estimated at $2 per minute in terms of lost sales and loss of goodwill. a. If management wants to minimize the cost of both sales staff and customer wait times, how many salespersons should be working in each shift? b. What is the cost per shift to the company if they use the number of salespersons you…arrow_forward
- The Decision Sciences Department is tyring to determine whether to rent a slow or fast copier. The department believes that an employee's time is worth $15/hour. The slow copier rents for $4/hr, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15/hr, and it takes an employee an average of 6 minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour? Please note this class revolves around Microsoft Excel so the answer I need needs to show the formulas in Excel, along with any corresponding graphs, etc. Thank you in advance!arrow_forwardAn insurance company receives 220 calls per day from customers who lodge insurance claims. The call center is open from 8 a.m. to 5 p.m. The arrival of calls follows a Poisson process. Looking at the intensity of arrival of calls, we can distinguish three periods during the day: the period 8 a.m. to 11 a.m., the period 11 a.m. to 2 p.m. and the period 2 p.m. to 5 p.m. During the first period, around 60 calls are received. During the 11 a.m. to 2 p.m. period, 120 calls are received, and during the 2 p.m. to 5 p.m. period, 40 calls are received. A customer survey has shown that customers tend to call between 11 a.m. and 2 p.m. because during this time they have a break at work. Statistical analysis shows that the durations of calls follow an exponential distribution. According to the company’s customer service charter, customers should not wait more than 1 min on average for their call to be answered. • Assume that the call center can handle 70 calls per hour using 7 call center…arrow_forwardA large building may require an automated alarm system which monitors and controls all fire and security alarms in the building. Normally, the building is divided into zones and a number of alarms are associated with each zone. Alarms alert a central manned control area who may pass these on to the emergency services or may respond personally.Factors which have to be taken into account in building such a system are:Ø If the control area is unmanned and an alarm is activated this alarm should not be ignored if it is potentially serious. Emergency services should be automatically called.Ø Some but not all parts of the building may be equipped with sprinkler systems or systems to shut down electrical equipment. These should be activated if a fire alarm is confirmed. They should not be activated if there are people in the same room.Ø The building may be equipped with direction indicators which illuminate the route to the nearest exit. These should be activated when a fire alarm is…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,