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Introduction to Management Science 11th Edition Bernard W. Taylor - Solutions

A rural clinic hires its staff from nearby cities and towns on a part-time basis. The clinic attempts to have a general practitioner (GP), a nurse, and an internist on duty during at least a portion of each week. The clinic has a weekly budget of $1,200. A GP charges the clinic $40 per hour, a
The Eaststate Manufacturing Company produces four different airplane parts from fabricated sheet metal for several major aircraft companies. The manufacturing process consists of four operations€”stamping, assembly, finishing, and packaging. The processing times per unit for each
Mac€™s Warehouse is a large discount store that operates 7 days per week. The store needs the following number of full-time employees working each day of the week:Each employee must work 5 consecutive days each week and then have 2 days off. For example, any employee who works Sunday
Infocomp Systems Lab is a research and development (R&D) company that develops computer systems and software primarily for the medical industry. The lab has proposals from its own researchers for eight new projects. Each of the proposed research projects requires limited resources, and it is not
Texmart is a locally owned €œbig-box€ retail store chain in Texas with 75 stores, primarily located in the Dallas€“Fort Worth area. In order to compete with national big-box store chains, Texmart is planning to undertake several €œsustainability€
Dampier Associates is a holding company that specializes in buying out small to medium-sized textile companies. The company is currently considering purchasing three companies in the Carolinas: Alton Textiles, Bonham Mills, and Core Textiles. The main criteria the company uses to determine which
Check the pairwise comparisons for Dampier Associates in Problem 18 for consistency
Bernard Mee, the head of the department of management science at Tech, is evaluating facultyfor raises at the end of the academic year. He is considering three faculty members for raises:John Abbott, Megan Bates, and Debbie Cook. Faculty evaluations are based on three criteria€”teaching,
Check the pairwise comparisons for the criteria in Problem 20 for consistency and indicate whether the level of consistency is acceptable.
Megan Moppett is a sales representative for Technical Software Systems (TSS), and she receives a commission for every new system installation she sells to a client. Her earnings during the past few years have been very high, and she wants to invest in a mutual fund. She is considering three funds:
In Problem 22, if Megan Moppett has $85,000 to invest and she wants to diversify by investing in all three funds, how much should she invest in each?
Alex Wall is shopping for a new four-wheel-drive utility vehicle and has identified three models from which she will choose€”an Explorer, a Trooper, and a Passport. She will make her selection based on Consumer Digest ratings, price, and each vehicle€™s appearance. Following are
Station WRCH in Richmond, Virginia, is interviewing candidates for the job of news anchor on its 6:00 P.M. Eyewitness News show. There are three final candidates for the job€”June Pawlie, Kellie Cooric, and Tim Brokenaw. The criteria the station manager will use to make the selection are
Carol Latta is visiting hotels in Los Angeles to decide where to hold a convention for a national organization of college business school teachers she represents. There are three hotels from which to choose€”the Cheraton, the Milton, and the Harriott. The criteria she is to use to make
Aaron Zeitel is a high school senior deciding which college to attend in the fall. He has narrowed his choices to three liberal arts schools: Arrington, Barton, and Claiborne. His criteria for selection are the school€™s academic reputation, location (and especially proximity to his
Whitney Eggleston operates a computerized dating service for students at Tech. She uses AHP to help match her clients. Whitney is attempting to match Chris with either Robin, Terry, or Kelly. She evaluates her clients according to three criteria€”physical attractiveness, intelligence, and
Rockingham Systems is considering three R&D projects it has identified as A, B, and C. Rockingham is not sure it will undertake all three projects, so it wants to rank them in terms of preferability. Rockingham will use three criteria to rank the projects€”profit potential, probability of
The Bay City Parks and Recreation Department is considering building several new facilities, including a gym, an athletic field, a tennis pavilion, and a pool. It will base its decision on which facilities to build depending on projected usage (from surveys) and construction and operating costs.
Students at a college in Ohio are planning a spring break vacation to one of three locations: Myrtle Beach (MB), Daytona Beach (DB), or Ft. Lauderdale (FL). They are to base their decision on three criteria€”weather, cost, and potential fun (based on an Internet survey of friends and
Check the pairwise comparisons in Problem 32 for consistency.
The management science and information technology majors at Tech select one of two available options within the major€”decision support systems (DSS) or operations management (OM). Student advisers use AHP with the students to determine which option they should select. The criteria used
The town of Blacksburg needs a larger modern middle school. The current middle school is in the center of town and is over 40 years old. There are two proposals for a new school—renovate and expand the current facility and keep it in town or build a new school on the outskirts of town. Different
Federated Health Care has contracted to be Tech€™s primary health care provider for faculty and staff.There are three major hospitals in the area (within 35 miles)€”County, Memorial, and General€”that have full-service emergency rooms. Federated wants to designate one
The department of management science at Tech offers four sections of introductory quantitative methods in the fall semester, each taught by a different teacher. A group of students have developed the following criteria to rank the sections: time and day, grading history of the instructor, classroom
A faculty committee in the department of management science at Tech is evaluating three new textbooks for its introductory management science course, which all business students are required to take. The texts, identified by the authors, are Adams/Jones, Barnes, and Cook/Smith. The
On the day of the professional football draft, the owner, general manager, and coaching staff of the New York Gladiators are attempting to decide which of the available players they should select as their pick approaches. They have three players on their big board whom they would like:Al
The four most famous generals during the American Civil War were Ulysses S. Grant, William Tecumseh Sherman, Robert E. Lee, and Stonewall Jackson. Historians have always debated which was the greatest general from among these four. Following are the pairwise comparisons for five criteria that might
The owners of the Blitz professional soccer team are disappointed in their team€™s home attendance, so they are considering moving to one of four cities: Atlanta, Birmingham, Charlotte, or Durham. The criteria the owners are using to make their decision are population in the
Check the pairwise comparisons for the five criteria in Problem 44 for consistency.
Texmart is a locally owned €œbig-box€ retail store chain in Texas, with stores primarily located in the Dallas€“Fort Worth area. In order to compete with national big-box store chains, it is planning to undertake several €œsustainability€ (i.e.,
Labran Jones has played for the Cleveland professional basketball team for the past eight seasons and has established himself as one of the top players in the league. He has recently become a free agent, meaning he can sign a new contract with Cleveland or with any other team in the league. While
For Problem 47, check the consistency of the pairwise comparison matrices for all four criteria and the criteria.
Balston Healthcare operates three hospitals and a number of clinics in its citywide network. It is planning to open a new wellness center and clinic facility that focuses on geriatric clients in one of four suburbs. The following table shows the weighted criteria for each location:Recommend a site
The owners of the Blitz professional soccer team in Problem 44 have decided to also use a scoring model, with an expanded set of criteria, to help them decide in which city€”Atlanta, Birmingham, Charlotte, or Durham€”they should relocate their team. They have graded the possible
Arsenal Electronics is to construct a new $1.2 billion semiconductor plant and has selected four small towns in the Midwest as potential sites. The important decision criteria and grades for each town are as follows:Develop a scoring model to determine in which town the plant should bebuilt.
Exotech Computers manufactures computer components such as chips, circuit boards, motherboards, keyboards, LCD panels, and the like, and sells them around the world. It wants to construct a new warehouse and distribution center in Asia to serve emerging markets there. It has identified sites in
State University is to construct a new student center and athletic complex that will include a bookstore, a post office, theaters, a market, a minimall, meeting rooms, a swimming pool, and weight and exercise rooms. The university administration has hired a site selection specialist to identify the
Following an all-star school soccer career, Kelly Williams has been offered scholarships to five universities. She has had a difficult time making a decision and has decided to use a scoring model to help evaluate the different offers. The following table includes a weighted list of criteria she
The Carter family wants to purchase a time-share condominium for 1 week during the summer in Hilton Head, South Carolina. There are many resort complexes from which to choose, and the Carters have narrowed their list to five. They have graded their choices according to the following weighted
Robin Dillon has recently accepted a new job in the Washington, DC, area and has been hunting for a condominium to purchase. From friends and coworkers she has compiled a list of five possible condominium complexes that she might move into. The following table indicates the weighted criteria that
The New River Rapids Under-15 Girls€™Travel Soccer Team is determining which tournaments it should enter during the fall season. The manager has identified six possible tournaments, and the team wants to enter three of them. The team manager first surveyed the parents and players and
The Hickory Cabinet and Furniture Company makes chairs. The fixed cost per month of making chairs is $7,500, and the variable cost per chair is $40. Price is related to demand, according to the following linear equation:v = 400 - 1.2pDevelop the nonlinear profit function for this company and
Graphically illustrate the profit curve developed in Problem 1. Indicate the optimal price and the maximum profit per month.
The Rainwater Brewery produces beer. The annual fixed cost is $150,000, and the variable cost per barrel is $16. Price is related to demand, according to the following linear equation:v = 75,000 - 1,153.8pDevelop the nonlinear profit function for the brewery and determine the price that will
The Rolling Creek Textile Mill makes denim. The monthly fixed cost is $8,000, and the variable cost per yard of denim is $0.35. Price is related to demand, according to the following linear equation:v = 17,000 - 5,666pDevelop the nonlinear profit function for the textile mill and determine the
The Grady Tire Company recaps tires. The weekly fixed cost is $2,500, and the variable cost per tire is $9. Price is related to demand, according to the following linear equation:v = 200 - 4.75pDevelop the nonlinear profit function for the tire company and determine the optimal price, the optimal
Andy Mendoza makes handcrafted dolls, which he sells at craft fairs. He is considering massproducing the dolls to sell in stores. He estimates that the initial investment for plant and equipment will be $25,000, while labor, materials, packaging, and shipping will be about $10 per doll.He has
Metro Telcom Systems develops, sells, and installs computer systems. The company has divided its customer base into five regions, and it has 15 representatives who sell and install the company€™s systems. The company wants to allocate salespeople to regions so that they maximize daily
Blue Ridge Power Company has a maximum capacity of 2.5 million kilowatt-hours (kWh) of electric power available on a daily basis. The demand (in millions of kWh) for power from its customers for high-demand (peak) hours and low-demand (off-peak) hours is determined by the following formulas:high
The Metro Police Department has partitioned the city into four quadrants. The department has 20 police patrol cars available for each shift per day to assign to the quadrants. The department wants to assign patrol cars to the quadrants during a shift so that the crime rate is minimized while
Home-Base, a home improvement and building supply chain, is going to build a new warehouse facility to serve its stores in six North Carolina cities€”Charlotte, Winston-Salem, Greensboro, Durham, Raleigh, and Wilmington. The coordinates of these cities (in miles), using Columbia, South
The Accentuate Consulting Firm has eight projects for which it has contracted with clients to develop computer systems and software. The firm has 35 team members it can assign to the projects. The firm has developed the following profit functions for each project, where xi equals the number of team
State University has increased its tuition for in-state and out-of-state students in each of the past 5 years to offset cuts in its budget allocation from the state legislature. The university administration always thought that the number of applications received was independent of tuition;
American International Automotive Industries (AIAI) manufactures engine, transmission, and chassis parts for manufacturers and repair companies in the United States, South America, Canada, Mexico, Asia, and Europe. The company transports parts to its foreign markets by container ships. To serve its
Indicate which of the following probabilities are objective and which are subjective. (Note that in some cases, the probabilities may not be entirely one or the other.)a. The probability of snow tomorrowb. The probability of catching a fishc. The probability of the prime interest rate rising in the
Downhill Ski Resort in Colorado has accumulated information from records of the past 30 winters regarding the measurable snowfall. This information is as follows:Snowfall (in.) ...... Frequency0–19 .......... 220–29 .......... 730–39 ........... 840–49 .......... 850+ .......... 5
Employees in the textile industry can be segmented as follows:Employees . NumberFemale and union . 12,000Female and nonunion . 25,000Male and union .. 21,000Male and nonunion . 42,000a. Determine the probability of each event in this distribution.b. Are the events in this distribution mutually
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to check the transmission. The Friendly Auto Mart sold
A new county hospital is attempting to determine whether it needs to add a particular specialist to its staff. Five percent of the general hospital population in the county contracts the illness the specialist would treat. If 12 patients check into the hospital in a day, what is the probability
A large research hospital has accumulated statistical data on its patients for an extended period. Researchers have determined that patients who are smokers have an 18% chance of contracting a serious illness such as heart disease, cancer, or emphysema, whereas there is only a .06 probability that
Two law firms in a community handle all the cases dealing with consumer suits against companies in the area. The Abercrombie firm takes 40% of all suits, and the Olson firm handles the other 60%.The Abercrombie firm wins 70% of its cases, and the Olson firm wins 60% of its cases.a. Develop a
The Senate consists of 100 senators, of whom 34 are Republicans and 66 are Democrats. A bill to increase defense appropriations is before the Senate. Thirty-five percent of the Democrats and 70% of the Republicans favor the bill. The bill needs a simple majority to pass. Using a probability tree,
A retail outlet receives radios from three electrical appliance companies. The outlet receives 20% of its radios from A, 40% from B, and 40% from C. The probability of receiving a defective radio from A is .01; from B, .02; and from C, .08.a. Develop a probability tree showing all marginal,
A metropolitan school system consists of three districts—north, south, and central. The north district contains 25% of all students, the south district contains 40%, and the central district contains 35%. A minimum-competency test was given to all students; 10% of the north district students
A service station owner sells Goodroad tires, which are ordered from a local tire distributor. The distributor receives tires from two plants, A and B. When the owner of the service station receives an order from the distributor, there is a .50 probability that the order consists of tires from
A metropolitan school system consists of two districts, east and west. The east district contains 35% of all students, and the west district contains the other 65%. A vocational aptitude test was given to all students; 10% of the east district students failed, and 25% of the west district students
The Ramshead Pub sells a large quantity of beer every Saturday. From past sales records, the pub has determined the following probabilities for sales:Barrels ..... Probability6 ........... 0.107 ......... 0.208 ......... 0.409 ......... 0.2510 ......... 0.05
The following probabilities for grades in management science have been determined based on past records:Grade ..... ProbabilityA ........ 0.10B ......... 0.30C .......... 0.40D ......... 0.10F ......... 0.10 1.00The grades are assigned on a 4.0 scale, where an A
A market in Boston orders oranges from Florida. The oranges are shipped to Boston from Florida by either railroad, truck, or airplane; an order can take 1, 2, 3, or 4 days to arrive in Boston once it is placed. The following probabilities have been assigned to the number of days it takes to receive
An investment firm is considering two alternative investments, A and B, under two possible future sets of economic conditions, good and poor. There is a .60 probability of good economic conditions occurring and a .40 probability of poor economic conditions occurring. The expected gains and losses
An investor is considering two investments, an office building and bonds. The possible returns from each investment and their probabilities are as follows:Using expected value and standard deviation as a basis for comparison, discuss which of the two investments should beselected.
The Jefferson High School Band Booster Club has organized a raffle. The prize is a $6,000 car. Two thousand tickets to the raffle are to be sold at $1 apiece. If a person purchases four tickets, what will be the expected value of the tickets?
The time interval between machine breakdowns in a manufacturing firm is defined according to the following probability distribution:Time Interval (hr.) Probability1 ......... .152 ......... .203 ......... .404 ......... .25 1.00Determine the cumulative
The life of an electronic transistor is normally distributed, with a mean of 500 hours and a standard deviation of 80 hours. Determine the probability that a transistor will last for more than 400 hours.
The grade point average of students at a university is normally distributed, with a mean of 2.6 and a standard deviation of 0.6. A recruiter for a company is interviewing students for summer employment. What percentage of the students will have a grade point average of 3.5 or greater?
The weight of bags of fertilizer is normally distributed, with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh between 45 and 55 pounds?
The monthly demand for a product is normally distributed, with a mean of 700 units and a standard deviation of 200 units. What is the probability that demand will be greater than 900 units in a given month?
The Polo Development Firm is building a shopping center. It has informed renters that their rental spaces will be ready for occupancy in 19 months. If the expected time until the shopping center is completed is estimated to be 14 months, with a standard deviation of 4 months, what is the
A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards. What is the probability that a customer’s order
The manager of the local National Video Store sells videocassette recorders at discount prices. If the store does not have a video recorder in stock when a customer wants to buy one, it will lose the sale because the customer will purchase a recorder from one of the many local competitors. The
The owner of Western Clothing Company has determined that the company must sell 670 pairs of denim jeans each month to break even (i.e., to reach the point where total revenue equals total cost). The company’s marketing department has estimated that monthly demand is normally distributed, with a
Lauren Moore, a professor in management science, is computing her final grades for her introductory management science class. The average final grade is a 63, with a standard deviation of 10. Professor Moore wants to curve the final grades according to a normal distribution so that 10% of the
The SAT scores of all freshmen accepted at State University are normally distributed, with a mean of 1,050 and a standard deviation of 120. The College of Business at State University has accepted 620 of these freshmen into the college. All students in the college who score over 1,200 are eligible
Erin Richards is a junior at Central High School, and she has talked to her guidance counselor about her chances of being admitted to Tech after her graduation. The guidance counselor has told her that Tech generally accepts only those applicants who graduate in the top 10% of their high school
The associate dean in the college of business at Tech is going to purchase a new copying machine for the college. One model he is considering is the Zerox X10. The sales representative has told him that this model will make an average of 125,000 copies, with a standard deviation of 40,000 copies,
The Palace Hotel believes its customers may be waiting too long for room service. The hotel operations manager knows that the time for room service orders is normally distributed, and he sampled 10 room service orders during a 3-day period and timed each (in minutes), as follows:23 .... 2315 ....
Agnes Hammer is a senior majoring in management science. She has been interviewing with several companies for a job when she graduates, and she is curious about what starting salary offers she might receive. There are 140 seniors in the graduating class for her major, and more than half have
The owner of Gilley’s Ice Cream Parlor has noticed that she sells more ice cream on hotter days during the summer, especially on days when the temperature is 85° or higher. To plan how much ice cream to stock, she would like to know the average daily high temperature for the summer months of
The state of Virginia has implemented a Standard of Learning (SOL) test that all public school students must pass before they can graduate from high school. A passing grade is 75. Montgomery County High School administrators want to gauge how well their students might do on the SOL test, but they
The department of management science at Tech has sampled 250 of its majors and compiled the following frequency distribution of grade point averages (on a 4.0 scale) for the previous semester:The sample mean (x€“) for this distribution is 2.5, and the sample standard deviation (s) is
Geo-net, a cellular phone company, has collected the following frequency distribution for the length of calls outside its normal customer roaming area:The sample mean (x€“) for this distribution is 14.3 minutes, and the sample standard deviation is 3.7 minutes. Determine whether these
The Valley Swim Club has 300 stockholders, each holding one share of stock in the club. A share of club stock allows the shareholder’s family to use the club’s heated outdoor pool during the summer, upon payment of annual membership dues of $175. The club has not issued any new stock in years,
Stevie Stone, a bellhop at the Royal Sundown Hotel in Atlanta, has been offered a management position. Although accepting the offer would assure him a job if there was a recession, if good economic conditions prevailed, he would actually make less money as a manager than as a bellhop (because of
A farmer in Georgia must decide which crop to plant next year on his land: corn, peanuts, or soybeans. The return from each crop will be determined by whether a new trade bill with RussiaDetermine the best crop to plant, using the following decision criteria.a. Maximaxb. Maximinc. Minimax regretd.
The owner of the Columbia Construction Company must decide between building a housing development, constructing a shopping center, and leasing all the company€™s equipment to another company. The profit that will result from each alternative will be determined by whether material costs
A local real estate investor in Orlando is considering three alternative investments: a motel, a restaurant, or a theater. Profits from the motel or restaurant will be affected by the availability of gasoline and the number of tourists; profits from the theater will be relatively stable under any
A television network is attempting to decide during the summer which of the following three football games to televise on the Saturday following Thanksgiving Day: Alabama versus Auburn, Georgia versus Georgia Tech, or Army versus Navy. The estimated viewer ratings (millions of homes) for the games
Ann Tyler has come into an inheritance from her grandparents. She is attempting to decide among several investment alternatives. The return after 1 year is primarily dependent on the interest rate during the next year. The rate is currently 7%, and Ann anticipates that it will stay the same or go
The Tech football coaching staff has six basic offensive plays it runs every game. Tech has an upcoming game against State on Saturday, and the Tech coaches know that State employs five different defenses. The coaches have estimated the number of yards Tech will gain with each play against each
Microcomp is a U.S.-based manufacturer of personal computers. It is planning to build a new manufacturing and distribution facility in either South Korea, China, Taiwan, the Philippines, or Mexico. It will take approximately 5 years to build the necessary infrastructure (roads, etc.), construct the

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