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quantitative analysis for management
Quantitative Analysis For Management 12th Edition Barry Render, Ralph M. Stair, Michael E. Hanna - Solutions
=9-16 The B. Hall Real Estate Investment Corporation has identified four small apartment buildings in which it would like to invest. Mrs. Hall has approached three savings and loan companies regarding financing.Because Hall has been a good client in the past and has maintained a high credit rating
=9-15 The three blood banks in Franklin County are coordinated through a central office that facilitates blood delivery to four hospitals in the region. The cost to ship a standard container of blood from each bank to each hospital is shown in the table below. Also given are the biweekly number of
=9-14 The state of Missouri has three major powergenerating companies (A, B, and C). During the months of peak demand, the Missouri Power Authority authorizes these companies to pool their excess supply and to distribute it to smaller independent power companies that do not have generators large
=9-13 Finnish Furniture manufactures tables in facilities located in three cities—Reno, Denver, and Pittsburgh. The tables are then shipped to three retail stores located in Phoenix, Cleveland, and Chicago.Management wishes to develop a distribution schedule that will meet the demands at the
=9-12 An air conditioning manufacturer produces room air conditioners at plants in Houston, Phoenix, and Memphis. These are sent to regional distributors in Dallas, Atlanta, and Denver. The shipping costs vary, and the company would like to find the least-cost way to meet the demands at each of the
=9-11 The Krampf Lines Railway Company specializes in coal handling. On Friday, April 13, Krampf had empty cars at the following towns in the quantities indicated:Town Supply of Cars Morgantown 35 Youngstown 60 Pittsburgh 25 By Monday, April 16, the following towns will need coal cars as
=9-10 The Saussy Lumber Company ships pine flooring to three building supply houses from its mills in Pineville, Oak Ridge, and Mapletown. Determine the best transportation schedule for the data given in the table below.
=9-9 Hardrock Concrete’s owner has decided to increase the capacity at his smallest plant (see Problem 9-8).Instead of producing 30 loads of concrete per day at plant 3, that plant’s capacity is doubled to 60 loads. Does this change the schedule developed previously?
=9-8 The Hardrock Concrete Company has plants in three locations and is currently working on three major construction projects, each located at a different site.The shipping cost per truckload of concrete, daily plant capacities, and daily project requirements are provided in the table
=9-7 The management of the Executive Furniture Corporation decided to expand the production capacity at its Des Moines factory and to cut back production at its other factories. It also recognizes a shifting market for its desks and revises the requirements at its three warehouses.The table below
=9-6 Explain how the maximal-flow model might be viewed as a transshipment model.
=9-5 Describe a problem that can be solved by using the shortest-route model.
=9-4 Explain the purpose of the transshipment constraints in the linear program for a transshipment model.
=9-3 Explain what it means for an assignment model to be balanced.
=9-2 Explain how to determine the number of variables and constraints that would be in a transportation problem simply by knowing the number of sources and the number of destinations.
=9-1 Is the transportation model an example of decision making under certainty or decision making under uncertainty? Why?
=8. The computing center of a large university is installing fiber-optic cables to fifteen building on campus. Which of the following models could be used to determine the least amount of cable required to connect all the buildings?a. The transportation model.b. The maximal-flow model.c. The
=7. A large city is planning for the Olympic Games which will be coming in a few years. The transportation system is being evaluated to determine what expansion is needed to handle the large number of visitors to the games.Which of the following models would most likely help the city planners
=6. In a typical shortest-route model, the objective is toa. minimize the number of nodes in the route.b. minimize the time or distance to get from one point to another.c. minimize the number of arcs in the route.d. travel through all nodes in the best way possible.
=5. Which network model is used to determine how to connect all points of a network together while minimizing the total distance between them?a. The assignment model.b. The maximal-flow model.c. The shortest-route model.d. The minimal-spanning tree model.
=4. Four cranes are being assigned to five construction jobs. One of the jobs will be delayed until one of the cranes becomes available after finishing the first job.An assignment model will be used. To allow specialized software to find a solution to this problem,a. nothing special must be done to
=3. A company is considering opening one new production facility, and three locations are being considered. For this facility location problem, how many transportation models must be developed and solved?a. 1b. 2c. 3d. 4
=2. An assignment problem may be viewed as a transportation problem witha. a cost of $1 for all shipping routes.b. all supplies and demands equal to 1.c. only demand constraints.d. only supply constraints.
=1. If a transportation problem has 4 sources and 5 destinations, the linear program for this will havea. 4 variables and 5 constraints.b. 5 variable and 4 constraints.c. 9 variables and 20 constraints.d. 20 variables and 9 constraints.
=3. If market conditions remain the same, what market share would Rentall have in the long run? How does this compare with the market share that would result if the changes were not made?
=2. What will the market shares be in three months with the changes?
=1. What will the market shares be in one month if these changes are made? If no changes are made?
=14-32 The following digraph represents the changes in weather from one day to the next in Lowell, Massachusetts.Determine the associated transition matrix and the overall percentage of sunny days.
=14-31 The following digraph represents the changes in weather from one day to the next in Erie, Pennsylvania.Determine the associated transition matrix and the probability that it will be cloudy in three days given that it is cloudy today.
=14-30 The first quick-oil-change store in Problem 14-28 retains 73% of its market share. This represents a probability of 0.73 in the first row and first column of the matrix of transition probabilities. The other probability values in the first row are equally distributed across the other stores
=(c) Describe what would happen if both Sandy and Chris are correct about customers visiting their quick-oil-change operations.
=(b) Assume that Chris is correct about customers visiting one of his quick-oil-change shops. Will he win the bet?
=(a) Assume that Sandy is correct about customers visiting one of her quick-oil-change shops. Will she win the bet with Chris?
=14-29 During a recent trip to her favorite restaurant, Sandy(owner of shop 1) met Chris Talley (owner of shop 7)(see Problem 14-28). After an enjoyable lunch, Sandy and Chris had a heated discussion about market share for the quick-oil-change operations in their city. Here is their conversation:
=(c) Sandy believes that the original estimates for market shares were wrong. She believes that shop 1 has 40% of the market, and shop 2 has 30%. All other values are the same. If this is the case, what is the impact on market shares for next-period and equilibrium shares?(d) A marketing consultant
=(b) What are the equilibrium market shares?
=14-28 Sandy Sprunger is part owner in one of the largest quick-oil-change operations for a medium-sized city in the Midwest. Currently, the firm has 60% of the market. There are a total of 10 quick lubrication shops in the area. After performing some basic marketing research, Sandy has been able
=14-27 As a result of a recent survey of students at the University of South Wisconsin, it was determined that the university owned bookstore currently has 40%of the market. (See Problem 14-14.) The other three bookstores, Bill’s, College, and Battle’s, each split the remaining initial market
=14-26 Find the equilibrium conditions for Problem 14-24.Explain what it means.
=14-25 Find π(2) for Problem 14-24.
=14-24 Set up both the vector of state probabilities and the matrix of transition probabilities given the following information:Store 1 currently has 40% of the market; store 2 currently has 60% of the market.In each period, store 1 customers have an 80%chance of returning; 20% of switching to
= 14-23 John Jones of Bayside Laundry has been providing cleaning and linen service for rental condominiums on the Gulf coast for over 10 years. Currently, John is servicing 26 condominium developments. John’s two major competitors are Cleanco, which currently services 15 condominium
= 14-22 Hicourt Industries is a commercial printing outfit in a medium-sized town in central Florida. Its only competitors are the Printing House and Gandy Printers. Last month, Hicourt Industries had approximately 30% of the market for the printing business in the area. The Printing House had
= 14-21 Professor Green gives two-month computer programming courses during the summer term. Students must pass a number of exams to pass the course, and each student is given three chances to take the exams. The following states describe the possible situations that could occur:1. State 1: pass
=14-20 In Section 14.7, we investigated an accounts receivable problem. How would the paid category and the bad debt category change with the following matrix of transition probabilities?P =1 000 0 1 0 0 0 7 0 0 2 0 1 04 02 02 02. . .....
=14-19 The personal computer industry is very fast moving and technology provides motivation for customers to upgrade with new computers every few years. Brand loyalty is very important and companies try to do things to keep their customers happy. However, some current customers will switch to a
=14-18 The cellular phone industry is very competitive. Two companies in the greater Lubbock area, Horizon and Local Cellular, are constantly battling each other in an attempt to control the market. Each company has a one-year service agreement. At the end of each year, some customers will renew,
=14-17 A study of accounts receivables at the A&W Department Store indicates that bills are either current, one month overdue, two months overdue, written off as bad debts, or paid in full. Of those that are current, 80% are paid that month, and the rest become one month overdue. Of the one month
=14-16 Hervis Rent-A-Car has three car rental locations in the greater Houston area: the Northside branch, the West End branch, and the Suburban branch. Customers can rent a car at any of these places and return it to any of the others without any additional fees. However, this can create a
=14-15 Andy Lange, president of the University of South Wisconsin, is concerned with the declining business at the University Book Store. (See Problem 14-14 for details.) The students tell him that the prices are simply too high. Andy, however, has decided not to lower the prices. If the same
=14-14 The University of South Wisconsin has had steady enrollments over the past five years. The school has its own bookstore, called University Book Store, but there are also three private bookstores in town:Bill’s Book Store, College Book Store, and Battle’s Book Store. The university is
=14-13 Resolve Problem 14-12 (Goodeating Dog Chow) for five periods.
=(c) Resolve part (a) when the machine is placing 51 pounds in each bag today.
=(b) Resolve part (a) when the machine is only placing 49 pounds in each bag today.
=14-12 Goodeating Dog Chow Company produces a variety of brands of dog chow. One of their best values is the 50-pound bag of Goodeating Dog Chow.George Hamilton, president of Goodeating, uses a very old machine to load 50 pounds of Goodeating Chow automatically into each bag. Unfortunately,
= 14-11 Draw a tree diagram to illustrate what the market shares would be next month for Problem 14-10.
=14-10 Over any given month, Dress-Rite loses 10% of its customers to Fashion, Inc., and 20% of its market to Luxury Living. But Fashion, Inc., loses 5% of its market to Dress-Rite and 10% of its market to Luxury Living each month; and Luxury Living loses 5% of its market to Fashion, Inc., and 5%of
=14-9 Alan Resnik, a friend of Ray Cahnman, bet Ray $5 that Ray’s car would not start five days from now(see Problem 14-8).(a) What is the probability that it will not start five days from now if it started today?(b) What is the probability that it will not start five days from now if it did not
=14-8 Ray Cahnman is the proud owner of a 1955 sports car. On any given day, Ray never knows whether his car will start. Ninety percent of the time it will start if it started the previous morning, and 70% of the time it will not start if it did not start the previous morning.(a) Construct the
=14-7 Find the inverse of each of the following matrices:(a)09 01 02 07. .. .--(b)08 01 03 09. .. .--(c)07 02 02 09. .. .--(d)08 02 01 07. .. .--
=14-6 What is the fundamental matrix, and how is it used in determining equilibrium conditions?
=14-5 What is an absorbing state? Give several examples of absorbing states.
=14-4 What is an equilibrium condition? How do we know that we have an equilibrium condition, and how can we compute equilibrium conditions given the matrix of transition probabilities?
=14-3 Describe how we can use Markov analysis to make future predictions.
=14-2 What are the vector of state probabilities and the matrix of transition probabilities, and how can they be determined?
=14-1 List the assumptions that are made in Markov analysis.
=12. The is the probability that the system is in a particular state.
=11. In Markov analysis, we assume that the state probabilities are both and .
=10. In Markov analysis, the allows us to get from a current state to a future state.
=9. It is necessary to use the fundamental matrixa. to find the equilibrium conditions when there are no absorbing states.b. to find the equilibrium conditions when there is one or more absorbing states.c. to find the matrix of transition probabilities.d. to find the inverse of a matrix.
=8. In the matrix of transition probabilities,a. the sum of the probabilities in each row will equal 1.b. the sum of the probabilities in each column will equal 1.c. there must be at least one 0 in each row.d. there must be at least one 0 in each column.
=7. If the state probabilities do not change from one period to the next, thena. the system is in equilibrium.b. each state probability must equal 0.c. each state probability must equal 1.d. the system is in its fundamental state.
=6. In Markov analysis, the state probabilities musta. sum to 1.b. be less than 0.c. be less than 0.01.d. be greater than 1.e. be greater than 0.01.
=5. Which of the following is not one of the assumptions of Markov analysis?a. There is a limited number of possible states.b. There is a limited number of possible future periods.c. A future state can be predicted from the previous state and the matrix of transition probabilities.d. The size and
=4. To find equilibrium conditions,a. the first vector of state probabilities must be known.b. the matrix of transition probabilities is unnecessary.c. the general terms in the vector of state probabilities are used on two occasions.d. the matrix of transition probabilities must be squared before
=3. In the long run, the state probabilities will be 0 and 1a. in no instances.b. in all instances.c. in some instances.
=2. The product of a vector of state probabilities and the matrix of transition probabilities will yielda. another vector of state probabilities.b. a meaningless mess.c. the inverse of the equilibrium state matrix.d. all of the above.e. none of the above.
=1. If the states in a system or process are such that the system can only be in one state at a time, then the states area. collectively exhaustive.b. mutually exclusive.c. absorbing.d. disappearing.
=15-21 V. S. Industries in Parkersburg, West Virginia is a small manufacturer of military grade hybrid microcircuits. One of the many quality assurance procedures required by Military Standard 883J(MIL-STD-883J) for hybrid microcircuits is known as nondestructive bond pull (method number 2023.7 in
=15-20 Cybersecurity is an area of increasing concern. The National Security Agency (NSA) monitors the number of hits at sensitive Web sites. When the number of hits is much larger than normal, there is cause for concern and further investigation is warranted. For the past twelve months the number
=15-19 A new president at Big State University has made student satisfaction with the enrollment and registration process one of her highest priorities. Students must see an advisor, sign up for classes, obtain a parking permit, pay tuition and fees, and buy textbooks and other supplies. During
=15-18 Kate Drew has been hand-painting wooden Christmas ornaments for several years. Recently, she has hired some friends to help her increase the volume of her business. In checking the quality of the work, she notices that some slight blemishes occasionally are apparent. A sample of 20 pieces
=15-17 For Problem 15-16, develop upper and lower control limits for the range. Do these samples indicate that the process is in control?
=(c) Does this process appear to be in control?Explain.
=(b) What are the upper and lower control limits for a 99.7% control chart for the mean?
=(a) What is the overall average of these means?What is the average range?
=15-16 Colonel Electric is a large company that produces lightbulbs and other electrical products. One particular lightbulb is supposed to have an average life of about 1,000 hours before it burns out. Periodically the company will test 5 of these and measure the average time before these burn
=15-15 Kitty Products caters to the growing market for cat supplies, with a full line of products, ranging from litter to toys to flea powder. One of its newer products, a tube of fluid that prevents hair balls in longhaired cats, is produced by an automated machine that is set to fill each tube
=15-14 For the past two months, Suzan Shader has been concerned about machine number 5 at the West Factory. To make sure that the machine is operating correctly, samples are taken, and the average and range for each sample is computed. Each sample consists of 12 items produced from the machine.
=15-13 Due to the poor quality of various semiconductor products used in their manufacturing process, Microlaboratories has decided to develop a QC program. Because the semiconductor parts they get from suppliers are either good or defective, Milton Fisher has decided to develop control charts for
=15-12 Sampling four pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results:Hour x R Hour x R 1 3.25" 0.71" 13 3.11" 0.85"2 3.10 1.18 14 2.83 1.31 3 3.22 1.43 15 3.12 1.06 4 3.39 1.26 16 2.84 0.50 5 3.07 1.17 17 2.86 1.43 6
=15-11 Small boxes of NutraFlakes cereal are labeled “net weight 10 ounces.” Each hour, random samples of size n = 4 boxes are weighed to check process control. Five hours of observations yielded the following:Weight Time Box 1 Box 2 Box 3 Box 4 9 a.m. 9.8 10.4 9.9 10.3 10 a.m. 10.1 10.2 9.9
=15-10 Zipper Products, Inc., produces granola cereal, granola bars, and other natural food products. Its natural granola cereal is sampled to ensure proper weight. Each sample contains eight boxes of cereal.The overall average for the samples is 17 ounces.The range is only 0.5 ounce. Determine the
=15-9 When set at the standard position, Autopitch can throw hard balls toward a batter at an average speed of 60 mph. Autopitch devices are made for both major- and minor-league teams to help them improve their batting averages. Autopitch executives take samples of 10 Autopitch devices at a time
=15-8 Shader Storage Technologies produces refrigeration units for food producers and retail food establishments. The overall average temperature that these units maintain is 46° Fahrenheit. The average range is 2° Fahrenheit. Samples of 6 are taken to monitor the process. Determine the upper
=15-7 Explain why a process can be out of control even though all the samples fall within the upper and lower control limits.
=15-6 What might cause a process to be out of control?
=15-5 When using a control chart, what are some patterns that would indicate that the process is out of control?
=15-4 Explain the difference between c-charts and p-charts.
=15-3 Explain the difference between control charts for variables and control charts for attributes.
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