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Introduction to Management Science 11th Edition Bernard W. Taylor - Solutions
The Douglas family raises cattle on their farm in Virginia. They also have a large garden in which they grow ingredients for making two types of relish-chow-chow and tomato. These they sell in 16-ounce jars at local stores and craft fairs in the fall. The profit for a jar of chowchow is $2.25, and
The White Horse Apple Products Company purchases apples from local growers and makes applesauce and apple juice. It costs $0.60 to produce a jar of applesauce and $0.85 to produce a bottle of apple juice. The company has a policy that at least 30% but not more than 60% of its output must be
Mazy's Department Store has decided to stay open on a 24-hour basis. The store manager has divided the 24-hour day into six 4-hour periods and determined the following minimum personnel requirements for each period:Time .......... Personnel NeededMidnight–4:00 A.M. ........ 904:00–8:00 A.M.
Venture Systems is a consulting firm that develops e-commerce systems and Web sites for its clients. It has six available consultants and eight client projects under contract. The consultants have different technical abilities and experience, and as a result, the company charges different hourly
Great Northwoods Outfitters is a retail phone-catalog company that specializes in outdoor clothing and equipment. A phone station at the company will be staffed with either full-time operators or temporary operators 8 hours per day. Full-time operators, because of their experience and training,
In Problem 62, Great Northwoods Outfitters is going to alter its staffing policy. Instead of hiring a constant group of full-time operators for the entire 8-week planning period, it has decided to hire and add full-time operators as the 8-week period progresses, although once it hires full-time
Blue Ridge Power and Light Company generates electrical power at four coal-fired power plants along the eastern seaboard in Virginia, North Carolina, Maryland, and Delaware. The company purchases coal from six producers in southwestern Virginia, West Virginia, and Kentucky. Blue Ridge has fixed
Valley United Soccer Club has 16 boys' and girls' travel soccer teams. The club has access to three town fields, which its teams practice on in the fall during the season. Field 1 is large enough to accommodate two teams at one time, and field 3 can accommodate three teams, whereas field 2 has
USAir South Airlines operates a hub at the Pittsburgh International Airport. During the summer, the airline schedules 7 flights daily from Pittsburgh to Orlando and 10 flights daily from Orlando to Pittsburgh, according to the following schedule:The flight crews live in Pittsburgh or Orlando, and
The National Cereal Company produces a Light-Snak cereal package with a selection of small pouches of four different cereals€”Crunchies, Toasties, Snakmix, and Granolies. Each cereal is produced at a different production facility and then shipped to three packaging facilities, where the
Valley Fruit Products Company has contracted with apple growers in Ohio, Pennsylvania, and New York to purchase apples that the company then ships to its plants in Indiana and Georgia, where they are processed into apple juice. Each bushel of apples produces 2 gallons of apple juice. The juice is
In the event of a disaster situation at Tech from weather, an accident, or terrorism, victims will be transported by emergency vehicles to three area hospitals: Montgomery Regional, Radford Memorial, and Lewis Galt. Montgomery Regional is (on average) 10 minutes away from Tech, Radford Memorial is
Mary Kelly is a scholarship soccer player at State University. During the summer, she works at a youth all-sports camp that several of the university's coaches operate. The sports camp runs for 8 weeks during July and August. Campers come for a 1-week period, during which time they live in the
The Spring family has owned and operated a garden tool and implements manufacturing company since 1952. The company sells garden tools to distributors and also directly to hardware stores and home improvement discount chains. The Spring Company€™s four most popular small garden tools are
After Susan Wong graduated from State University with a degree in management science, she went to work for a computer systems development firm in the Washington, DC, area. As a student at State, Susan paid her normal monthly living expenses for apartment rent, food, and entertainment out of a bank
Walsh€™s Juice Company produces three products from unprocessed grape juice€”bottled juice, frozen juice concentrate, and jelly. It purchases grape juice from three vineyards near the Great Lakes. The grapes are harvested at the vineyards and immediately converted into juice at
King's Landing is a large amusement theme park located in Virginia. The park hires high school and college students to work during the summer months of May, June, July, August, and September. The student employees operate virtually all the highly mechanized, computerized rides; perform as
Consider the following linear programming model:maximize Z = 5x1 + 4x2subject to3x1 + 4x2 ≤ 10x1, x2 ≥ 0 and integerDemonstrate the graphical solution of this model.
A tailor makes wool tweed sport coats and wool slacks. He is able to get a shipment of 150 square yards of wool cloth from Scotland each month to make coats and slacks, and he has 200 hours of his own labor to make them each month. A coat requires 3 square yards of wool and 10 hours to make, and a
A jeweler and her apprentice make silver pins and necklaces by hand. Each week they have 80 hours of labor and 36 ounces of silver available. It requires 8 hours of labor and 2 ounces of silver to make a pin and 10 hours of labor and 6 ounces of silver to make a necklace. Each pin also contains a
A glassblower makes glass decanters and glass trays on a weekly basis. Each item requires 1 pound of glass, and the glassblower has 15 pounds of glass available each week. A glass decanter requires 4 hours of labor, a glass tray requires only 1 hour of labor, and the glassblower works 25 hours a
The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to three regions-the South, the East, and the Midwest. A salesperson in the South earns $600 in profit per month for the company, a salesperson in the East earns $540, and a salesperson in the Midwest earns
Helen Holmes makes pottery by hand in her basement. She has 20 hours available each week to make bowls and vases. A bowl requires 3 hours of labor, and a vase requires 2 hours of labor. It requires 2 pounds of special clay to make a bowl and 5 pounds to produce a vase; she is able to acquire 35
Lauren Moore has sold her business for $500,000 and wants to invest in condominium units (which she intends to rent) and land (which she will lease to a farmer). She estimates that she will receive an annual return of $8,000 for each condominium and $6,000 for each acre of land. A condominium unit
Northwoods Backpackers is a retail catalog store in Vermont that specializes in outdoor clothing and camping equipment. Phone orders are taken each day by a large pool of computer operators, some of whom are permanent and some temporary. A permanent operator can process an average of 76 orders per
In the example problem solution for this chapter on page 209, a textbook company was attempting to determine how many sales representatives to assign to each of two new regions. The company has now decided that if any sales representatives are assigned to region 1, a sales office must be
The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the number of available management scientists (40) and the budget available for R&D projects ($300,000).
Mazy’s Department Store has decided to stay open for business on a 24-hour basis. The store manager has divided the 24-hour day into six 4-hour periods and has determined the following minimum personnel requirements for each period:Time ........ Personnel NeededMidnight–4:00 A.M. ......
The athletic boosters club for Beaconville has planned a 2-day fund-raising drive to purchase uniforms for all the local high schools and to improve facilities. Donations will be solicited during the day and night by telephone and personal contact. The boosters club has arranged for local college
The Metropolitan Arts Council (MAC) wants to advertise its upcoming season of plays, concerts, and ballets. A television commercial that costs $25,000 will supposedly reach 53,000 potential arts customers. The breakdown of the audience is as follows:A newspaper ad costs $7,000, and the newspaper
Juan Hernandez, a Cuban athlete who visits the United States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffel bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the
The Avalon Floor Cleaner Company is trying to determine the number of salespeople it should allocate to its three regions—the East, the Midwest, and the West. The company has 100 salespeople that it wants to assign to the three regions. The annual average unit sales volume achieved by a
During the war with Iraq in 1991, the Terraco Motor Company produced a lightweight, allterrain vehicle code-named "J99 Terra" for the military. The company is now planning to sell the Terra to the public. It has five plants that manufacture the vehicle and four regional distribution centers. The
The Otter Creek Winery produces three kinds of table wine-a blush, a white, and a red. The winery has 30,000 pounds of grapes available to produce wine this season. A cask of blush requires 360 pounds of grapes, a cask of white requires 375 pounds, and a cask of red requires 410 pounds. The winery
Brenda Last, an undergraduate business major at State University, is attempting to determine her course schedule for the fall semester. She is considering seven 3-credit-hour courses, which are shown in the following table. Also included are the average number of hours she expects to have to devote
The artisans at Jewelry Junction in Phoenix are preparing to make gold jewelry during a 2-month period for the Christmas season. They can make bracelets, necklaces, and pins. Each bracelet requires 6.3 ounces of gold and 17 hours of labor, each necklace requires 3.9 ounces of gold and 10 hours of
Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have obtained a load of 600 board feet of birch from a neighbor and are planning to produce round kitchen tables and ladder-back chairs during the next 3 months. Each table will require 30 hours of labor,
The Jacobsons in Problem 24 have been approached by a home furnishings company that needs a wooden stool for its catalog. The company has asked the Jacobsons to produce a batch of 20 wooden stools, and the Jacobsons would realize a profit of $65 for each stool. A stool will require 4 board feet of
The Skimmer Boat Company manufactures three kinds of molded fiberglass recreational boats-a bass fishing boat, a ski boat, and a speedboat. The profit for a bass boat is $20,500, the profit for a ski boat is $12,000, and the profit for a speedboat is $22,300. The company believes it will sell more
The Reliance Manufacturing Company produces an aircraft part. The company can produce the part entirely at a flexible work center with multiple computerized machines. The company has four work centers, all of which are different because they were purchased at different times. Each work center has a
Corsouth Mortgage Associates is a large home mortgage firm in the Southeast. It has a pool of permanent and temporary computer operators who process mortgage accounts, including posting payments and updating escrow accounts for insurance and taxes. A permanent operator can process 220 accounts per
In Problem 28, Corsouth Mortgage Associates is considering hiring some hourly, part-time computer operators in addition to its permanent and temporary operators. A part-time operator can process 12 accounts per hour, averages 0.16 error per hour, and is paid $4.50 per hour. Corsouth wants to know
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€
In Problem 30, reformulate and solve the model so that Texmart maximizes its cost savings and does not consider the media/public relations impact at all.
Tech offers a number of off-campus courses in its professional and executive masters of information technology (MIT) programs at various locations around the state. The courses are taught by a group of regular Tech information technology faculty and adjuncts they hire from around the state. There
Rowntown Cab Company has 70 drivers that it must schedule in three 8-hour shifts. However, the demand for cabs in the metropolitan area varies dramatically according to the time of day. The slowest period is between midnight and 4:00 A.M. The dispatcher receives few calls, and the calls that are
Globex Investment Capital Corporation owns six companies that have the following estimated returns (in millions of dollars) if sold in one of the next 3 years:To operating funds, the company must sell at least $20 million worth of assets in year 1, $25 million in year 2, and $35 million in year 3.
The Heartland Distribution Company is a food warehouse and distributor that has a contract with a grocery store chain in several Midwest and Southeast cities. The company wants to construct new warehouses/distribution centers in some of the cities it services to serve the stores in those cities
The Kreeger Grocery Store chain has bought out a competing grocery store chain. However, it now has too many stores in close proximity to each other in certain cities. In Roanoke the chain has 10 stores, and it does not want any stores closer than 2 miles to each other. Following are the monthly
A youth soccer club has contracted with Holiday Helpers, a local travel agency, to broker hotel rooms for out-of-town teams that have entered the club's Labor Day weekend soccer tournament.The agency has 12 teams it needs to arrange rooms for at 8 possible hotels. The following tables show the
The Tech Software School contracts to train employees of companies in the use of various software products and packages. The training programs are all delivered on three consecutive days but require different daily durations, depending on the software product. For a specific 7-day week (including
Each day Seacoast Food Services makes deliveries to four restaurants it supplies in the metro Atlanta area. The service uses one truck that starts at its warehouse, makes a delivery to each restaurant, and then returns to the warehouse. The mileage between the warehouse, 1, and each of the
HTM Realty has a storefront rental property in downtown Draperton, a small college town next to the Tech campus. The property encompasses four business spaces that open onto College Avenue. HTM has a long-term tenant in each space, and their leases are all running out at approximately the same
The Valley Times and World News publishes and delivers a morning newspaper 7 days a week. The bundled papers are delivered by trucks to a number of area communities where they are picked up by carriers at a central location in the community, who then deliver the individual newspapers to customers
The BigRig Trucking Company participates in an Internet transportation exchange where customers advertise their shipments including load weight and volume, and trip origin and destination. BigRig then computes the cost and time of the trip and determines the bid it should make for the shipment to
Twobucks Coffee Company currently operates 12 coffee shops in downtown Nashville. The company has been losing money and wants to downsize by closing some stores. Its policy has been to saturate the downtown area with stores so that one is virtually always in the sight of a potential or current
The town of Hillsboro recently purchased a 55-acre tract of farm land, and it has $550,000 budgeted to develop recreational facilities. The impetus for the purchase was the need for more soccer fields to meet the increasing demand of youth soccer in the area. However, once the land was purchased, a
Paulette Smith and Maureen Becker are seniors in engineering and business, respectively, at State University. They have set up a company, PM Computer Services, to assemble and sell their own brand of personal computers.They buy component parts on the open market from a variety of sources in the
The Tennessee Pterodactyls is a new professional basketball franchise in Nashville. The team's general manager, Jerry East, and coach, Phil Riley, are trying to develop a roster of players. They drafted seven players from a pool to which the other teams in the league contributed two players each.
Atlantic Management Systems is a consulting firm that specializes in developing computerized decision support systems for computer manufacturing companies. The firm currently has offices in Chicago, Charlotte, Pittsburgh, and Houston. It is considering opening new offices in one or more
The United Broadcast Network (UBN) sells to advertisers commercial advertising slots on its television shows. The network announces its new fall television schedule during the previous spring and shortly thereafter begins selling its inventory of advertising slots to its customers. Long-standing
Each fall the Draperton Parks and Recreation Department holds a series of tryouts for its boys' and girls' youth basketball leagues. All leagues are formed by age group, each usually encompassing a couple of ages. One such grouping is the 12- to 13-year-old girls' league. This is a particularly
All students in the College of Business at State University are required to take a capstone course, Management 4394, the last semester of their senior year. This course consists primarily of a semester-long case project that pulls together all the business disciplines to test the students'
The Lead Balloon is a popular '80s rock band that broke up in the 1990s but recently got back together to publish a new CD and go on tour. They want to schedule a summer tour that will encompass 16 possible cities in the eastern half of the United States. However, because of family and business
Kathleen Taylor has been working for a government contractor, Summit Solutions, in Washington, DC, for over a year. She is now eligible to participate in the company€™s 401(k) retirement plan. The company has provided Kathleen with the information in the table on the following page about
Consider the following transportation problem:Formulate this problem as a linear programming model and solve it by using thecomputer.
Steel mills in three cities produce the following amounts of steel:Location Weekly Production (tons)A. Bethlehem .. 150B. Birmingham . 210C. Gary ..... 320680These mills supply steel to four cities, where manufacturing plants have the following demand:Location Weekly Demand (tons)1. Detroit . 1302.
Coal is mined and processed at the following four mines in Kentucky, West Virginia, and Virginia:Location .... Capacity (tons)A. Cabin Creek ... 90B. Surry ..... 50C. Old Fort ..... 80D. McCoy .... 60280These mines supply the following amount of coal to utility power plants in three cities:Plant
Oranges are grown, picked, and then stored in warehouses in Tampa, Miami, and Fresno. These warehouses supply oranges to markets in New York, Philadelphia, Chicago, and Boston. The following table shows the shipping costs per truckload (in hundreds of dollars), supply, and demand. Because of an
A manufacturing firm produces diesel engines in four cities€”Phoenix, Seattle, St. Louis, and Detroit. The company is able to produce the following numbers of engines per month:Plant .. Production1. Phoenix .. 52. Seattle ..... 253. St. Louis .. 204. Detroit ... 25Three trucking firms
The Shotz Beer Company has breweries in two cities; the breweries can supply the following numbers of barrels of draft beer to the company’s distributors each month:Brewery .... Monthly Supply (bbl)A. Tampa ..... 3,500B. St. Louis ..... 5,000Total ...... 8,500The distributors, which are
In Problem 15, Computers Unlimited wants to better meet demand at the four universities it supplies. It is considering two alternatives: (1) Expand its warehouse at Richmond to a capacity of 600, at a cost equivalent to an additional $6 in handling and shipping per unit; or(2) Purchase a new
Computers Unlimited in Problem 15 has determined that when it is unable to meet the demand for microcomputers at the universities it supplies, the universities tend to purchase microcomputers elsewhere in the future. Thus, the firm has estimated a shortage cost for each microcomputer demanded but
A severe winter ice storm has swept across North Carolina and Virginia, followed by over a foot of snow and frigid, single-digit temperatures. These weather conditions have resulted in numerous downed power lines and power outages, causing dangerous conditions for much of the population. Local
Bayville has built a new elementary school, increasing the town€™s total to four schools€”Addison, Beeks, Canfield, and Daley. Each has a capacity of 400 students. The school board wants to assign children to schools so that their travel time by bus is as short as possible. The
In Problem 21, the school board determined that it does not want any of the schools to be overly crowded compared with the other schools. It would like to assign students from each district to each school so that enrollments are evenly balanced between the four schools. However, the school board is
The Easy Time Grocery chain operates in major metropolitan areas on the East Coast. The stores have a €œno-frills€ approach, with low overhead and high volume. They generally buy their stock in volume at low prices. However, in some cases they actually buy stock at stores in
Suppose that in Problem 23 Easy Time can purchase all the baby food it needs from a New York City distributor at a price that will result in a profit of $9 per case at stores 1, 3, and 4; $8 per case at stores 2 and 6; and $7 per case at store 5. Should Easy Time purchase all, none, or some of its
In Problem 23, if Easy Time could arrange to purchase more baby food from one of the outlying locations, which should it be, how many additional cases could be purchased, and how much would this increase profit?
During the Gulf War in Iraq, large amounts of military matériel and supplies had to be shipped daily from supply depots in the United States to bases in the Middle East. The critical factor in the movement of these supplies was speed. The following table shows the number of planeloads
PM Computer Services produces personal computers from component parts it buys on the open market. The company can produce a maximum of 300 personal computers per month. PM wants to determine its production schedule for the first 6 months of the new year. The cost to produce a personal computer in
In Problem 28, suppose that the demand for personal computers increased each month, as follows:In addition to the regular production capacity of 300 units per month, PM Computer Services can also produce an additional 200 computers per month by using overtime. Overtime production adds 20% to the
National Foods Company has five plants where it processes and packages fruits and vegetables. It has suppliers in six cities in California, Texas, Alabama, and Florida. The company owns and operates its own trucking system for transporting fruits and vegetables from its suppliers to its plants.
In Problem 30, National Foods would like to know what the effect would be on the optimal solution and the company’s decision regarding its shipping if it negotiates with its suppliers in Sacramento, Jacksonville, and Ocala to increase their capacity to 25 tons per month. What would be the effect
Orient Express is a global distribution company that transports its clients€™ products to customers in Hong Kong, Singapore, and Taipei. All the products Orient Express ships are stored at three distribution centers€”one in Los Angeles, one in Savannah, and one in Galveston. For
Binford Tools manufactures garden tools. It uses inventory, overtime, and subcontracting to absorb demand fluctuations. Expected demand, regular and overtime production capacity, and subcontracting capacity are provided in the following table for the next four quarters for its basic line of steel
The National Western Railroad’s rail network covers most of the U.S. West and Midwest. On a daily basis it sends empty freight cars from various locations in its rail network to its customers for their use. Sometimes there are not enough freight cars to meet customer demand. The transportation
Al, Barbara, Carol, and Dave have joined together to purchase two season tickets to the Giants€™ home football games. Because there are eight home games, each person will get tickets to two games. Each person has ranked the games they prefer from 1 to 8, with 1 being most preferred and 8
World Foods, Inc., imports food products such as meats, cheese, and pastries to the United States from warehouses at ports in Hamburg, Marseilles, and Liverpool. Ships from these ports deliver the products to Norfolk, New York, and Savannah, where they are stored in company warehouses before being
A sports apparel company has received an order for a college basketball team€™s national championship T-shirt. The company can purchase the T-shirts from textile factories in Mexico, Puerto Rico, and Haiti. The shirts are shipped from the factories to companies in the United States that
Walsh€™s Fruit Company contracts with growers in Ohio, Pennsylvania, and New York to purchase grapes. The grapes are processed into juice at the farms and stored in refrigerated vats. Then the juice is shipped to two plants, where it is processed into bottled grape juice and frozen
A national catalog and Internet retailer has three warehouses and three major distribution centers located around the country. Normally, items are shipped directly from the warehouses to the distribution centers; however, each of the distribution centers can also be used as an intermediate
Horizon Computers manufactures laptops in Germany, Belgium, and Italy. Because of high tariffs between international trade groups, it is sometimes cheaper to ship partially completed laptops to factories in Puerto Rico, Mexico, and Panama and have them completed before final shipment to U.S.
The Midlands Field Produce Company contracts with potato farmers in Colorado, Minnesota, North Dakota, and Wisconsin for monthly potato shipments. Midlands picks up the potatoes at the farms and ships mostly by truck (and sometimes by rail) to its sorting and distribution centers in Ohio, Missouri,
KanTech Corporation is a global distributor of electrical parts and components. Its customers are electronics companies in the United States, including computer manufacturers and audio/visual product manufacturers. The company contracts to purchase components and parts from manufacturers in Russia,
In Problem 42, KanTech Corporation is just as concerned that its U.S. distributors receive shipments in the minimum amount of time as they are about minimizing their shipping costs. Suppose that each U.S. distributor receives one major container shipment each month. Following are summaries of the
Blue Mountain Coffee Company produces various blends of Free Trade, organic specialty coffees that it sells to wholesale customers. The company imports 25 million pounds of coffee beans annually from coffee plantations in Brazil, Indonesia, Kenya, Colombia, C̫te d۪Ivoire,
The Pinnacle Company is a U.S.€“based manufacturer of furniture and appliances that offshored all of its actual manufacturing operations to Asia about a decade ago. It then set up distribution centers at various locations on the East Coast, near ports where its items were imported on
In Problem 45, reformulate the model so that Pinnacle minimizes its shipping costs while selecting its three new distribution centers within a budget of $45 million. What is the difference in this solution, if any?
A shop has four machinists to be assigned to four machines. The hourly cost of having each machine operated by each machinist is as follows:However, because he does not have enough experience, machinist 3 cannot operate machine B.a. Determine the optimal assignment and compute total minimum cost.b.
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