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Finance
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
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
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
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
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
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
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
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
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
The National Cereal Company produces a Light-Snak cereal package with a selection of small pouches of four different cerealsCrunchies, Toasties, Snakmix, and Granolies. Each cereal is
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
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,
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
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
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,
Walshs Juice Company produces three products from unprocessed grape juicebottled juice, frozen juice concentrate, and jelly. It purchases grape juice from three vineyards near
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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,
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
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
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
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
Texmart is a locally owned big-box retail store chain in Texas with 75 stores, primarily located in the DallasFort Worth area. In order to compete with national
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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,
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
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
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
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
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 companys 401(k) retirement
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,
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 ....
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
A manufacturing firm produces diesel engines in four citiesPhoenix, Seattle, St. Louis, and Detroit. The company is able to produce the following numbers of engines per month:Plant ..
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
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
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
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
Bayville has built a new elementary school, increasing the towns total to four schoolsAddison, Beeks, Canfield, and Daley. Each has a capacity of 400 students. The school
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
The Easy Time Grocery chain operates in major metropolitan areas on the East Coast. The stores have a no-frills approach, with low overhead and high volume. They generally buy
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
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
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
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
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
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
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
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
Binford Tools manufactures garden tools. It uses inventory, overtime, and subcontracting to absorb demand fluctuations. Expected demand, regular and overtime production capacity, and subcontracting
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
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
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
A sports apparel company has received an order for a college basketball teams national championship T-shirt. The company can purchase the T-shirts from textile factories in Mexico, Puerto
Walshs 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
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
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
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
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
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
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
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
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
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,
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