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business
an introduction to management science

Questions and Answers of An Introduction to Management Science

From 3:00 p.m. to 8:00 p.m. the local K-Star Supermarket has a steady stream of customers.Customers finish shopping and arrive at the checkout area at a rate of 70 per hour (Poisson distributed). It
The local Burger Doodle fast-food restaurant has a drive-through window. Customers in cars arrive at the window at the rate of 10 per hour (Poisson distributed). It requires an average of 4 minutes
The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs arrive at the hotel every 8 minutes; if a taxi drives by the hotel and
The Quick Wash 24-hour Laundromat has 16 washing machines. A machine breaks down every 20 days (exponentially distributed). The repair service with which the Laundromat contracts takes an average of
The associate dean of the college of business at Tech is determining which of two copiers he should lease for the college’s administrative suite. A regular copier leases for $8 per hour, and it
Cakes baked by the Freshfood Bakery are transported from the ovens to be packaged by one of three wrappers. Each wrapper can wrap an average of 200 cakes per hour. The cakes are brought to the
In Problem 18, the Dynaco Company has found that if more than three units (average) are waiting to be processed at any one workstation, then too much money is being tied up in work-inprocess
The Riverton Post Office has four stations for service. Customers line up in single file for service on a FIFO basis. The mean arrival rate is 40 per hour, Poisson distributed, and the mean service
The College Avenue Sub Shop is located in a small college town. Virtually all of its phone delivery orders are in the evening, between 5:00 p.m. and 1:00 a.m., so the shop has a delivery person for
In Problem 14, in addition to course approvals, suppose that the advisor also answers questions and provides course counseling, such that the service time can no longer be assumed to be exponentially
The Rowntown Cab Company has four cabs that are on duty during normal business hours. The cab company dispatcher receives requests for service every 8 minutes, on average, according to an exponential
The Bay City Police Department has eight patrol cars that are on constant call 24 hours per day.A patrol car requires repairs every 20 days, on average, according to an exponential distribution.When
Norfolk, Virginia, a major seaport on the East Coast, has a ship coal-loading facility. Coal trucks filled with coal arrive at the port facility at the mean rate of 149 per day (Poisson distributed).
A vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour
Drivers who come to get their licenses at the Department of Motor Vehicles have their photograph taken by an automated machine that develops the photograph onto the license card and laminates the
Game World, a video game arcade at Tanglewood Mall, has just installed a new virtual reality battle game. It requires exactly 2.7 minutes to play. Customers arrive, on average, every 2.9
McBurger’s fast-food restaurant has a drive-through window with a single server who takes orders from an intercom and also is the cashier. The window operator is assisted by other employees who
The Acme Machine Shop has five machines that periodically break down and require service.The average time between breakdowns is 4 days, distributed according to an exponential distribution.The
The Dynaco Manufacturing Company has an assembly line that feeds two drill presses. As partially completed products come off the line, they are lined up to be worked on as drill presses become
In Problem 14, the dean of the college of business at State University is considering the addition of a second adviser in the college advising office to serve students waiting to have their schedules
In Problem 15, suppose passing truck drivers look to see how many trucks are waiting to be weighed at the weigh station. If they see four or more trucks in line, they will pass by the station and
All trucks traveling on Interstate 40 between Albuquerque and Amarillo are required to stop at a weigh station. Trucks arrive at the weigh station at a rate of 200 per 8-hour day, and the station can
During registration at State University every semester, students in the college of business must have their courses approved by the college adviser. It takes the adviser an average of 2 minutes to
The First American Bank of Rapid City has one outside drive-up teller. It takes the teller an average of 4 minutes to serve a bank customer. Customers arrive at the drive-up window at a rate of 12
The Peachtree Airport in Atlanta serves light aircraft. It has a single runway and one air traffic controller to land planes. It takes an airplane 12 minutes to land and clear the runway. Planes
The management of Dynaco Manufacturing Company (see Problem 10) likes to have its operators working 90% of the time. What must the assembly line arrival rate be for the operators to be as busy as
The Dynaco Manufacturing Company produces a particular product in an assembly line operation.One of the machines on the line is a drill press that has a single assembly line feeding into it. A
The Petroco Service Station has one pump for regular unleaded gas, which (with an attendant)can service 10 customers per hour. Cars arrive at the regular unleaded pump at a rate of 6 per hour.
The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech versus State football game on Saturday. The ticket seller can serve an average of 12
A single-server queuing system with an infinite calling population and a first-come, first-served queue discipline has the following arrival and service rates (Poisson distributed):l = 16 customers
Under what conditions will the single-server queuing model with Poisson arrivals and undefined service times provide the same operating characteristics as the basic model with exponentially
Provide an example of when a first-in, first-out (FIFO) rule for queue discipline would not be appropriate. LO.1
Why do waiting lines form at a service facility even though there may be more than enough service capacity to meet normal demand in the long run? LO.1
a. Is the following statement true or false? “The single-phase, single-channel model with Poisson arrivals and undefined service times will always have larger (i.e., greater) operating
In the Fast Shop Market example in this chapter, Alternative II was to add a new checkout counter at the market. This alternative was analyzed using the single-server model. Why was the
For each of the following queuing systems, indicate whether it is a single- or multiple-server model, the queue discipline, and whether its calling population is infinite or finite.a. Hair salonb.
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
An entrepreneur in plastic binding has detected a drop in his factory productivity. His main machine, the binder, is old and is the main cause of the productivity decline. The machine still works,
A young couple has $5,000 to invest in either savings bonds or a real estate deal. The expected return on each investment, given good and bad economic conditions, is shown in the following payoff
The Place-Plus real estate development firm in Problem 24 is dissatisfied with the economist’s estimate of the probabilities of future interest rate movement, so it is considering having a
In Problem 14, the management of the Oakland Bombers is considering hiring superscout Jerry McGuire to evaluate the team’s chances for the coming season. McGuire will evaluate the team, assuming
In Problem 59, the decision analysis is for automobiles and light trucks. Blue Ridge Power and Light would like to reformulate the problem for its heavy construction equipment. Emergency maintenance
Blue Ridge Power and Light is an electric utility company with a large fleet of vehicles, including automobiles, light trucks, and construction equipment. The company is evaluating four alternative
Ellie Daniels has $200,000 and is considering three mutual funds for investment—a global fund, an index fund, and an Internet stock fund. During the first year of investment, Ellie estimates that
In Problem 56, determine the expected value of sample information (EVSI) (i.e., the test market value) and the expected value of perfect information (EVPI). LO.1
Kroft Food Products is attempting to decide whether it should introduce a new line of salad dressings called Special Choices. The company can test market the salad dressings in selected geographic
The Valley Wine Company purchases grapes from one of two nearby growers each season to produce a particular red wine. It purchases enough grapes to produce 3,000 bottles of the wine.Each grower
Tech has three health care plans for its faculty and staff to choose from, as follows:Plan 1—monthly cost of $32, with a $500 deductible; the participants pay the first $500 of medical costs for
Jay Seago is suing the manufacturer of his car for $3.5 million because of a defect that he believes caused him to have an accident. The accident kept him out of work for a year. The company has
A European oil company has to decide whether to optimize its existing wells in the North Sea or to invest in the Arctic as many companies now scramble for these remote resources. However, with the
If Suntrek, in Problem 34, wants to hire a supply chain analyst to help it determine more accurately what future logistics costs will be, what is the maximum amount they should pay the analyst? LO.1
In Problems 10 and 21, Ann Tyler is considering hiring a financial analyst to help her determine the best investment. What is the maximum amount she should pay an analyst? LO.1
Jeffrey Mogul is a Hollywood film producer, and he is currently evaluating a script by a new screenwriter and director, Betty Jo Thurston. Jeffrey knows that the probability of a film by a new
The Friendlys in Problem 25 are considering hiring a petroleum analyst to determine the future availability of gasoline. The analyst will report that either a shortage or a surplus will occur. The
The Miramar Company in Problem 18 is considering contracting with a market research firm to do a survey to determine future market conditions. The results of the survey will indicate either positive
The machine shop owner in Problem 15 is considering hiring a military consultant to ascertain whether the shop will get the government contract. The consultant is a former military officer who uses
The Americo Oil Company is considering making a bid for a shale oil development contract to be awarded by the federal government. The company has decided to bid $112 million. The company estimates
The management of First American Bank was concerned about the potential loss that might occur in the event of a physical catastrophe such as a power failure or a fire. The bank estimated that the
Given the following sequential decision tree, determine which is the optimal investment, A or B:4 72 15 86 93.40 $300,000$60,000$45,000$75,000.60(–$20,000).30.70 .20
Construct a decision tree for the decision situation described in Problem 25 and indicate the best decision. LO.1
In Problem 40, the Blue Sox general manager has asked a superscout to assign a probability to each of the three states of nature for the pitchers during the next 10 years. The scout estimates there
The Blue Sox American League baseball team is going to enter the free-agent market over the winter to sign a new starting pitcher. They are considering five prospects who will enter the free-agent
In Problem 38, the director of career advising at Orange Community College has paid a small fee to a local investment firm to indicate a probability for each future economic condition over the next 5
The director of career advising at Orange Community College wants to use decision analysis to provide information to help students decide which 2-year degree program they should pursue.The director
In Problem 14, the Bombers' management has determined the following probabilities of the occurrence of each future season outcome for each player:Probability Player Loser Competitive Makes Playoffs
In Problem 35, Federated Electronics, Ltd., has hired a Washington, DC–based global trade research firm to assess the probabilities of each combination of port and government conditions for the
Federated Electronics, Ltd., manufactures display screens and monitors for computers and televisions, which it sells to companies around the world. It wants to construct a new warehouse and
Suntrek in Problem 33 estimates that the probabilities of future changes in global logistics costs are 0.09 that they will decrease, 0.27 that they will remain the same, and 0.64 that they will
Suntrek, a global apparel company, is adding a new supplier for denim fabric that it uses to manufacture denim jeans, and the suppliers it's considering are located near the ports of Shanghai,
Foxcomp in Problem 31 estimates that the probabilities of the severity of events in each of the countries are as follows:Event Severity Supplier Country Low Moderate High China .43 .45 .12 India .56
Foxcomp, an electronics and computer manufacturer with a global supply chain, wants to add a new supplier for some of its component parts, and the suppliers it’s considering are in Taiwan, India,
Assume that the probabilities of demand in Problem 28 are no longer valid; the decision situation is now one without probabilities. Determine the best number of boxes of cards to stock, using the
The Palm Garden Greenhouse specializes in raising carnations that are sold to florists. Carnations are sold for $3.00 per dozen; the cost of growing the carnations and distributing them to the
The manager of the greeting card section of Mazey's department store is considering her order for a particular line of Christmas cards. The cost of each box of cards is $3; each box will be sold for
The Loebuck Grocery must decide how many cases of milk to stock each week to meet demand.The probability distribution of demand during a week is shown in the following table:Demand (cases)
The Steak and Chop Butcher Shop purchases steak from a local meatpacking house. The meat is purchased on Monday at $2.00 per pound, and the shop sells the steak for $3.00 per pound.Any steak left
Fenton and Farrah Friendly, husband-and-wife car dealers, are soon going to open a new dealership.They have three offers: from a foreign compact car company, from a U.S. producer of fullsized cars,
In Problem 13, the Place-Plus real estate development firm has hired an economist to assign a probability to each direction interest rates may take over the next 5 years. The economist has determined
A global economist hired by Microcomp, the U.S.-based computer manufacturer in Problem 12, estimates that the probability that the economic and political climate overseas and in Mexico will decline
In Problem 11, the Tech coaches have reviewed game films and have determined the following probabilities that State will use each of its defenses:Defense Probability 54 .40 63 .10 Wide tackle .20
In Problem 10, Ann Tyler, with the help of a financial newsletter and some library research, has been able to assign probabilities to each of the possible interest rates during the next year, as
An investor must decide between two alternative investments—stocks and bonds. The return for each investment, given two future economic conditions, is shown in the following payoff table:Economic
The financial success of the Downhill Ski Resort in the Blue Ridge Mountains is dependent on the amount of snowfall during the winter months. If the snowfall averages more than 40 inches, the resort
The Miramar Company is going to introduce one of three new products: a widget, a hummer, or a nimnot. The market conditions (favorable, stable, or unfavorable) will determine the profit or loss the
Allen Abbott has a wide-curving, uphill driveway leading to his garage. When there is a heavy snow, Allen hires a local carpenter, who shovels snow on the side in the winter, to shovel his driveway.
A concessions manager at the Tech versus A&M football game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a
A machine shop owner is attempting to decide whether to purchase a new drill press, a lathe, or a grinder. The return from each will be determined by whether the company succeeds in getting a
The Oakland Bombers professional basketball team just missed making the playoffs last season and believes it needs to sign only one very good free agent to make the playoffs next season.The team is
Place-Plus, a real estate development firm, is considering several alternative development projects.These include building and leasing an office park, purchasing a parcel of land and building an
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.
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
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
An oil exploration company has to decide between three sites in which to invest in its next drilling project.The decision to drill in a region is determined by oil prices and the cost of setting up
A couple in Britain is deciding to invest in one of the following hospitality businesses according to the exchange rate of the neighboring countries: bed and breakfast, restaurant, or hotel.
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
A young graduate has been offered two positions in different companies. One position is relatively secured with a decent wage, but the company would lower their employees’ wages to avoid
A real estate investor has to decide the best possible investment alternative for three potential economic climates for the coming fiscal year. She calculates that her profits would be as follows
Angela Fulton and her family are considering three holiday destinations. They know they cannot control the weather but they have discussed the utility they would get for each destination according to
A farmer in Holland must decide which crop to plant next season: wheat, corn, or barley. The return on each will be determined by weather conditions. The profit the farmer will realize from each
A consultant is considering two ways to increase his revenue: offer leadership workshops or increase the quantitative aspect of his existing seminars. The consultant could charge more with his

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